A Survey of Mathematics with Applications (10th Edition) - Standalone book
10th Edition
ISBN: 9780134112107
Author: Allen R. Angel, Christine D. Abbott, Dennis Runde
Publisher: PEARSON
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Textbook Question
Chapter 6.1, Problem 69E
In Exercises 55–76, solve the equation.
69. 4(x − 4) + 12 = 4(x − 1)
Expert Solution & Answer
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In Exercises 105–107, solve each equation using a graphing utility.
Graph each side separately in the same viewing rectangle. The
solutions are the x-coordinates of the intersection points.
105. |x + 1||
106. 13(x + 4)| = 12
107. 12x – 3| = 19 – 4x|
Make Sense? In Exercises 135–138, determine whether each
statement makes sense or does not make sense, and explain your
reasoning.
135. Knowing the difference between factors and terms is
important: In (3x?y)“, I can distribute the exponent 2 on
each factor, but in (3x² + y)', I cannot do the same thing
on each term.
136. I used the FOIL method to find the product of x + 5 and
x + 2x + 1.
137. Instead of using the formula for the square of a binomial
sum, I prefer to write the binomial sum twice and then
apply the FOIL method.
138. Special-product formulas have patterns that make
their multiplications quicker than using the FOIL
method.
In Exercises 87–88, use the graph of f(x) = |4 – x| to solve each
equation or inequality.
y
flx) = |4 – x|
y = 53-
y = 1
$ 9 10
87. 14 - x| = 1
88. 14 - x| < 5
Chapter 6 Solutions
A Survey of Mathematics with Applications (10th Edition) - Standalone book
Ch. 6.1 - A letter of the alphabet used to represent numbers...Ch. 6.1 - Prob. 2ECh. 6.1 - A collection of variables, numbers, grouping...Ch. 6.1 - The number or numbers that replace the variable to...Ch. 6.1 - The parts that are added or subtracted in an...Ch. 6.1 - Terms that have the same variables with the same...Ch. 6.1 - The numerical part of a term is called its...Ch. 6.1 - Prob. 8ECh. 6.1 - Prob. 9ECh. 6.1 - Prob. 10E
Ch. 6.1 - In Exercises 11-24, evaluate the expression for...Ch. 6.1 - Prob. 12ECh. 6.1 - In Exercises 11-24, evaluate the expression for...Ch. 6.1 - Prob. 14ECh. 6.1 - In Exercises 11-24, evaluate the expression for...Ch. 6.1 - Prob. 16ECh. 6.1 - In Exercises 11-24, evaluate the expression for...Ch. 6.1 - Prob. 18ECh. 6.1 - In Exercises 11-24, evaluate the expression for...Ch. 6.1 - Prob. 20ECh. 6.1 - In Exercises 11-24, evaluate the expression for...Ch. 6.1 - Prob. 22ECh. 6.1 - In Exercises 11-24, evaluate the expression for...Ch. 6.1 - In Exercises 11-24, evaluate the expression for...Ch. 6.1 - In Exercises 25-30, determine whether the given...Ch. 6.1 - Prob. 26ECh. 6.1 - In Exercises 25-30, determine whether the given...Ch. 6.1 - Prob. 28ECh. 6.1 - In Exercises 25-30, determine whether the given...Ch. 6.1 - Prob. 30ECh. 6.1 - In Exercises 3154, combine like terms. 31. 4x + 9xCh. 6.1 - Prob. 32ECh. 6.1 - In Exercises 3154, combine like terms. 33. 7x + 3x...Ch. 6.1 - In Exercises 3154, combine like terms. 34. 9x 2x...Ch. 6.1 - In Exercises 3154, combine like terms. 35. 7x + 3y...Ch. 6.1 - Prob. 36ECh. 6.1 - In Exercises 3154, combine like terms. 37. 3x + 2 ...Ch. 6.1 - Prob. 38ECh. 6.1 - In Exercises 3154, combine like terms. 39. 2 3x ...Ch. 6.1 - Prob. 40ECh. 6.1 - In Exercises 3154, combine like terms. 41. 6.2x ...Ch. 6.1 - Prob. 42ECh. 6.1 - In Exercises 3154, combine like terms. 43....Ch. 6.1 - Prob. 44ECh. 6.1 - In Exercises 3154, combine like terms. 45. 7x 4y ...Ch. 6.1 - Prob. 46ECh. 6.1 - In Exercises 3154, combine like terms. 47. 3(t +...Ch. 6.1 - In Exercises 3154, combine like terms. 48. 6(r 3)...Ch. 6.1 - In Exercises 3154, combine like terms. 49. 0.2(x +...Ch. 6.1 - In Exercises 3154, combine like terms. 50....Ch. 6.1 - Prob. 51ECh. 6.1 - Prob. 52ECh. 6.1 - In Exercises 3154, combine like terms. 53....Ch. 6.1 - Prob. 54ECh. 6.1 - In Exercises 5576, solve the equation. 55. y + 7 =...Ch. 6.1 - Prob. 56ECh. 6.1 - In Exercises 5576, solve the equation. 57. 16 = 3t...Ch. 6.1 - Prob. 58ECh. 6.1 - In Exercises 5576, solve the equation. 59....Ch. 6.1 - Prob. 60ECh. 6.1 - In Exercises 5576, solve the equation. 61. 0.9x ...Ch. 6.1 - Prob. 62ECh. 6.1 - In Exercises 5576, solve the equation. 63. 6t 8 =...Ch. 6.1 - Prob. 64ECh. 6.1 - Prob. 65ECh. 6.1 - Prob. 66ECh. 6.1 - In Exercises 5576, solve the equation. 67. 2(x +...Ch. 6.1 - Prob. 68ECh. 6.1 - In Exercises 5576, solve the equation. 69. 4(x 4)...Ch. 6.1 - Prob. 70ECh. 6.1 - Prob. 71ECh. 6.1 - Prob. 72ECh. 6.1 - In Exercises 5576, solve the equation. 73. 3x + 2 ...Ch. 6.1 - Prob. 74ECh. 6.1 - In Exercises 5576, solve the equation. 74. 6x + 8 ...Ch. 6.1 - Prob. 76ECh. 6.1 - Sales Tax If the sales tax, s, on an item is 8%,...Ch. 6.1 - Cost of a Tour The cost, c, in dollars, for...Ch. 6.1 - Prob. 79ECh. 6.1 - Prob. 81ECh. 6.1 - Prob. 82ECh. 6.1 - Prob. 83ECh. 6.1 - Prob. 84ECh. 6.1 - Prob. 85ECh. 6.2 - A letter of the alphabet used to represent numbers...Ch. 6.2 - An equation that typically has a real-life...Ch. 6.2 - In Exercises 330, use the formula to determine the...Ch. 6.2 - In Exercises 330, use the formula to determine the...Ch. 6.2 - In Exercises 330, use the formula to determine the...Ch. 6.2 - In Exercises 330, use the formula to determine the...Ch. 6.2 - In Exercises 330, use the formula to determine the...Ch. 6.2 - In Exercises 330, use the formula to determine the...Ch. 6.2 - In Exercises 330, use the formula to determine the...Ch. 6.2 - In Exercises 330, use the formula to determine the...Ch. 6.2 - In Exercises 330, use the formula to determine the...Ch. 6.2 - In Exercises 330, use the formula to determine the...Ch. 6.2 - In Exercises 330, use the formula to determine the...Ch. 6.2 - In Exercises 330, use the formula to determine the...Ch. 6.2 - In Exercises 330, use the formula to determine the...Ch. 6.2 - Prob. 16ECh. 6.2 - In Exercises 330, use the formula to determine the...Ch. 6.2 - Prob. 18ECh. 6.2 - In Exercises 330, use the formula to determine the...Ch. 6.2 - Prob. 20ECh. 6.2 - Prob. 21ECh. 6.2 - In Exercises 330, use the formula to determine the...Ch. 6.2 - Prob. 23ECh. 6.2 - In Exercises 330, use the formula to determine the...Ch. 6.2 - Prob. 25ECh. 6.2 - Prob. 26ECh. 6.2 - In Exercises 330, use the formula to determine the...Ch. 6.2 - In Exercises 330, use the formula to determine the...Ch. 6.2 - Prob. 29ECh. 6.2 - Prob. 30ECh. 6.2 - In Exercises 3136, solve the equation for y. 31....Ch. 6.2 - Prob. 32ECh. 6.2 - In Exercises 3136, solve the equation for y. 33....Ch. 6.2 - Prob. 34ECh. 6.2 - In Exercises 3136, solve the equation for y. 35....Ch. 6.2 - Prob. 36ECh. 6.2 - In Exercises 3752, solve for the variable...Ch. 6.2 - In Exercises 3752, solve for the variable...Ch. 6.2 - In Exercises 3752, solve for the variable...Ch. 6.2 - Prob. 40ECh. 6.2 - In Exercises 3752, solve for the variable...Ch. 6.2 - Prob. 42ECh. 6.2 - In Exercises 3752, solve for the variable...Ch. 6.2 - Prob. 44ECh. 6.2 - In Exercises 3752, solve for the variable...Ch. 6.2 - Prob. 46ECh. 6.2 - In Exercises 3752, solve for the variable...Ch. 6.2 - Prob. 48ECh. 6.2 - In Exercises 3752, solve for the variable...Ch. 6.2 - Prob. 50ECh. 6.2 - Prob. 51ECh. 6.2 - Prob. 52ECh. 6.2 - Prob. 53ECh. 6.2 - Prob. 54ECh. 6.2 - Prob. 55ECh. 6.2 - Prob. 56ECh. 6.2 - Body Mass Index A persons body mass index (8MI) is...Ch. 6.2 - Prob. 58ECh. 6.3 - In Exercises 1 and 2, fill in the blank with an...Ch. 6.3 - Prob. 2ECh. 6.3 - In Exercises 36, write the mathematical expression...Ch. 6.3 - Prob. 4ECh. 6.3 - Prob. 5ECh. 6.3 - Prob. 6ECh. 6.3 - In Exercises 718, write the phrase as a...Ch. 6.3 - In Exercises 718, write the phrase as a...Ch. 6.3 - In Exercises 718, write the phrase as a...Ch. 6.3 - In Exercises 718, write the phrase as a...Ch. 6.3 - In Exercises 718, write the phrase as a...Ch. 6.3 - Prob. 12ECh. 6.3 - In Exercises 718, write the phrase as a...Ch. 6.3 - Prob. 14ECh. 6.3 - In Exercises 718, write the phrase as a...Ch. 6.3 - Prob. 16ECh. 6.3 - In Exercises 718, write the phrase as a...Ch. 6.3 - In Exercises 718, write the phrase as a...Ch. 6.3 - In Exercises 1930, write an equation and solve....Ch. 6.3 - Prob. 20ECh. 6.3 - In Exercises 1930, write an equation and solve....Ch. 6.3 - Prob. 22ECh. 6.3 - In Exercises 1930, write an equation and solve....Ch. 6.3 - In Exercises 1930, write an equation and solve....Ch. 6.3 - In Exercises 1930, write an equation and solve....Ch. 6.3 - Prob. 26ECh. 6.3 - In Exercises 1930, write an equation and solve....Ch. 6.3 - Prob. 28ECh. 6.3 - In Exercises 1930, write an equation and solve....Ch. 6.3 - Prob. 30ECh. 6.3 - In Exercises 3142, set up an equation that can be...Ch. 6.3 - Prob. 32ECh. 6.3 - In Exercises 3142, set up an equation that can be...Ch. 6.3 - Prob. 34ECh. 6.3 - In Exercises 3142, set up an equation that can be...Ch. 6.3 - In Exercises 31-42, set up an equation that can be...Ch. 6.3 - In Exercises 31-42, set up an equation that can be...Ch. 6.3 - In Exercises 31-42, set up an equation that can be...Ch. 6.3 - In Exercises 31-42, set up an equation that can be...Ch. 6.3 - Prob. 40ECh. 6.3 - Prob. 41ECh. 6.3 - Prob. 42ECh. 6.3 - In Exercises 43-51, use proportions to solve the...Ch. 6.3 - Prob. 44ECh. 6.3 - In Exercises 43-51, use proportions to solve the...Ch. 6.3 - In Exercises 43-51, use proportions to solve the...Ch. 6.3 - In Exercises 43-51, use proportions to solve the...Ch. 6.3 - Prob. 48ECh. 6.3 - In Exercises 43-51, use proportions to solve the...Ch. 6.3 - Prob. 50ECh. 6.3 - In Exercises 43-51, use proportions to solve the...Ch. 6.3 - Prob. 52ECh. 6.3 - Prob. 53ECh. 6.3 - The relationship between Fahrenheit temperature...Ch. 6.4 - In Exercises 1-4, fill in the blank with an...Ch. 6.4 - Prob. 2ECh. 6.4 - Prob. 3ECh. 6.4 - Prob. 4ECh. 6.4 - Prob. 5ECh. 6.4 - Prob. 6ECh. 6.4 - Prob. 7ECh. 6.4 - Prob. 8ECh. 6.4 - Prob. 9ECh. 6.4 - Prob. 10ECh. 6.4 - Prob. 11ECh. 6.4 - Prob. 12ECh. 6.4 - Prob. 13ECh. 6.4 - Prob. 14ECh. 6.4 - Prob. 15ECh. 6.4 - Prob. 16ECh. 6.4 - Prob. 17ECh. 6.4 - Prob. 18ECh. 6.4 - Prob. 19ECh. 6.4 - Prob. 20ECh. 6.4 - Prob. 21ECh. 6.4 - In Exercises 21 and 22, use Exercises 5-20 as a...Ch. 6.4 - Prob. 23ECh. 6.4 - Prob. 24ECh. 6.4 - Prob. 25ECh. 6.4 - Prob. 26ECh. 6.4 - Exercises 23-38, (a) write the variation equation...Ch. 6.4 - Exercises 23-38, (a) write the variation equation...Ch. 6.4 - Prob. 29ECh. 6.4 - Prob. 30ECh. 6.4 - Prob. 31ECh. 6.4 - Prob. 32ECh. 6.4 - Exercises 23-38, (a) write the variation equation...Ch. 6.4 - Prob. 34ECh. 6.4 - Prob. 35ECh. 6.4 - Prob. 36ECh. 6.4 - Prob. 37ECh. 6.4 - Prob. 38ECh. 6.4 - Prob. 39ECh. 6.4 - Prob. 40ECh. 6.4 - Prob. 41ECh. 6.4 - Prob. 42ECh. 6.4 - Prob. 43ECh. 6.4 - In Exercises 39-48, (a) write the variation...Ch. 6.4 - Prob. 45ECh. 6.4 - Prob. 46ECh. 6.4 - Prob. 47ECh. 6.4 - In Exercises 39-48, (a) write the variation...Ch. 6.4 - Prob. 49ECh. 6.4 - Prob. 50ECh. 6.4 - Prob. 51ECh. 6.4 - Prob. 52ECh. 6.4 - Prob. 53ECh. 6.4 - Prob. 54ECh. 6.5 - In Exercises 1-8, fill in the blank with an...Ch. 6.5 - Prob. 2ECh. 6.5 - In Exercises 1-8, fill in the blank with an...Ch. 6.5 - Prob. 4ECh. 6.5 - In Exercises 1-8, fill in the blank with an...Ch. 6.5 - In Exercises 1-8, fill in the blank with an...Ch. 6.5 - In Exercises 1-8, fill in the blank with an...Ch. 6.5 - Prob. 8ECh. 6.5 - In Exercises 9-26, graph the solution set of the...Ch. 6.5 - Prob. 10ECh. 6.5 - Prob. 11ECh. 6.5 - Prob. 12ECh. 6.5 - In Exercises 9-26, graph the solution set of the...Ch. 6.5 - Prob. 14ECh. 6.5 - Prob. 15ECh. 6.5 - In Exercises 9-26, graph the solution set of the...Ch. 6.5 - Prob. 17ECh. 6.5 - In Exercises 9-26, graph the solution set of the...Ch. 6.5 - Prob. 19ECh. 6.5 - In Exercises 9-26, graph the solution set of the...Ch. 6.5 - Prob. 21ECh. 6.5 - In Exercises 9-26, graph the solution set of the...Ch. 6.5 - Prob. 23ECh. 6.5 - In Exercises 9-26, graph the solution set of the...Ch. 6.5 - In Exercises 9-26, graph the solution set of the...Ch. 6.5 - In Exercises 9-26, graph the solution set of the...Ch. 6.5 - Prob. 27ECh. 6.5 - In Exercises 27-46, graph the solution set of the...Ch. 6.5 - Prob. 29ECh. 6.5 - In Exercises 27-46, graph the solution set of the...Ch. 6.5 - Prob. 31ECh. 6.5 - In Exercises 27-46, graph the solution set of the...Ch. 6.5 - Prob. 33ECh. 6.5 - In Exercises 27-46, graph the solution set of the...Ch. 6.5 - Prob. 35ECh. 6.5 - In Exercises 27-46, graph the solution set of the...Ch. 6.5 - Prob. 37ECh. 6.5 - In Exercises 27-46, graph the solution set of the...Ch. 6.5 - In Exercises 27-46, graph the solution set of the...Ch. 6.5 - In Exercises 27-46, graph the solution set of the...Ch. 6.5 - Prob. 41ECh. 6.5 - Prob. 42ECh. 6.5 - Prob. 43ECh. 6.5 - Prob. 44ECh. 6.5 - Prob. 45ECh. 6.5 - Prob. 46ECh. 6.5 - Motor Vehicle Production The following graph shows...Ch. 6.5 - Prob. 48ECh. 6.5 - Prob. 49ECh. 6.5 - Salary Plans Bobby recently accepted a sales...Ch. 6.5 - Prob. 51ECh. 6.5 - Prob. 52ECh. 6.5 - Prob. 53ECh. 6.5 - Prob. 54ECh. 6.5 - Finding Velocity The velocity, v, in feet per...Ch. 6.5 - Prob. 56ECh. 6.5 - A Grade of B In Example 9 on page 320, what range...Ch. 6.5 - Prob. 58ECh. 6.5 - Prob. 59ECh. 6.5 - Prob. 60ECh. 6.5 - Prob. 61ECh. 6.6 - In Exercises 1-8, fill in the blank with an...Ch. 6.6 - In Exercises 1-8, fill in the blank with an...Ch. 6.6 - In Exercises 1-8, fill in the blank with an...Ch. 6.6 - In Exercises 1-8, fill in the blank with an...Ch. 6.6 - Prob. 5ECh. 6.6 - Prob. 6ECh. 6.6 - Prob. 7ECh. 6.6 - In Exercises 1-8, fill in the blank with an...Ch. 6.6 - Prob. 9ECh. 6.6 - Prob. 10ECh. 6.6 - In Exercises 9-16, plot all the points on the same...Ch. 6.6 - In Exercises 9-16, plot all the points on the same...Ch. 6.6 - Prob. 13ECh. 6.6 - Prob. 14ECh. 6.6 - Prob. 15ECh. 6.6 - Prob. 16ECh. 6.6 - Prob. 17ECh. 6.6 - Prob. 18ECh. 6.6 - Prob. 19ECh. 6.6 - In Exercises 17-24, plot all the points on the...Ch. 6.6 - Prob. 21ECh. 6.6 - Prob. 22ECh. 6.6 - In Exercises 17-24, plot all the points on the...Ch. 6.6 - Prob. 24ECh. 6.6 - Prob. 25ECh. 6.6 - Prob. 26ECh. 6.6 - Prob. 27ECh. 6.6 - Prob. 28ECh. 6.6 - Prob. 29ECh. 6.6 - Prob. 30ECh. 6.6 - Prob. 31ECh. 6.6 - Prob. 32ECh. 6.6 - Prob. 33ECh. 6.6 - Prob. 34ECh. 6.6 - In Exercises 35-42, determine which ordered pairs...Ch. 6.6 - Prob. 36ECh. 6.6 - Prob. 37ECh. 6.6 - Prob. 38ECh. 6.6 - Prob. 39ECh. 6.6 - Prob. 40ECh. 6.6 - Prob. 41ECh. 6.6 - In Exercises 35-42, determine which ordered pairs...Ch. 6.6 - Prob. 43ECh. 6.6 - Prob. 44ECh. 6.6 - Prob. 45ECh. 6.6 - Prob. 46ECh. 6.6 - Prob. 47ECh. 6.6 - In Exercises 47-56, graph the equation by plotting...Ch. 6.6 - Prob. 49ECh. 6.6 - In Exercises 47-56, graph the equation by plotting...Ch. 6.6 - Prob. 51ECh. 6.6 - In Exercises 47-56, graph the equation by plotting...Ch. 6.6 - Prob. 53ECh. 6.6 - In Exercises 47-56, graph the equation by plotting...Ch. 6.6 - Prob. 55ECh. 6.6 - In Exercises 47-56, graph the equation by plotting...Ch. 6.6 - Prob. 57ECh. 6.6 - In Exercises 57- 66, graph the equation, using the...Ch. 6.6 - Prob. 59ECh. 6.6 - In Exercises 57- 66, graph the equation, using the...Ch. 6.6 - Prob. 61ECh. 6.6 - In Exercises 57- 66, graph the equation, using the...Ch. 6.6 - Prob. 63ECh. 6.6 - In Exercises 57- 66, graph the equation, using the...Ch. 6.6 - Prob. 65ECh. 6.6 - In Exercises 57- 66, graph the equation, using the...Ch. 6.6 - Prob. 67ECh. 6.6 - In Exercises 67-76, determine the slope of the...Ch. 6.6 - Prob. 69ECh. 6.6 - In Exercises 67-76, determine the slope of the...Ch. 6.6 - Prob. 71ECh. 6.6 - In Exercises 67-76, determine the slope of the...Ch. 6.6 - Prob. 73ECh. 6.6 - In Exercises 67-76, determine the slope of the...Ch. 6.6 - Prob. 75ECh. 6.6 - In Exercises 67-76, determine the slope of the...Ch. 6.6 - Prob. 77ECh. 6.6 - Prob. 78ECh. 6.6 - Prob. 79ECh. 6.6 - Prob. 80ECh. 6.6 - Prob. 81ECh. 6.6 - Prob. 82ECh. 6.6 - Prob. 83ECh. 6.6 - Prob. 84ECh. 6.6 - Prob. 85ECh. 6.6 - In Exercises 77- 86, graph the equation using the...Ch. 6.6 - Prob. 87ECh. 6.6 - Prob. 88ECh. 6.6 - Prob. 89ECh. 6.6 - Prob. 90ECh. 6.6 - Prob. 91ECh. 6.6 - Prob. 92ECh. 6.6 - Prob. 93ECh. 6.6 - Prob. 94ECh. 6.6 - Prob. 95ECh. 6.6 - Prob. 96ECh. 6.6 - Prob. 97ECh. 6.6 - Prob. 98ECh. 6.6 - Prob. 99ECh. 6.6 - Prob. 100ECh. 6.6 - Prob. 101ECh. 6.6 - Prob. 102ECh. 6.6 - Prob. 103ECh. 6.6 - Prob. 104ECh. 6.6 - Prob. 105ECh. 6.6 - Prob. 106ECh. 6.6 - Prob. 107ECh. 6.6 - Prob. 108ECh. 6.7 - In Exercises 1-10, fill in the blank with an...Ch. 6.7 - In Exercises 1-10, fill in the blank with an...Ch. 6.7 - In Exercises 1-10, fill in the blank with an...Ch. 6.7 - In Exercises 1-10, fill in the blank with an...Ch. 6.7 - In Exercises 1-10, fill in the blank with an...Ch. 6.7 - In Exercises 1-10, fill in the blank with an...Ch. 6.7 - In Exercises 1-10, fill in the blank with an...Ch. 6.7 - In Exercises 1-10, fill in the blank with an...Ch. 6.7 - In Exercises 1-10, fill in the blank with an...Ch. 6.7 - In Exercises 1-10, fill in the blank with an...Ch. 6.7 - In Exercises 11 and 12, determine which ordered...Ch. 6.7 - Prob. 12ECh. 6.7 - Prob. 13ECh. 6.7 - Prob. 14ECh. 6.7 - Prob. 15ECh. 6.7 - Prob. 16ECh. 6.7 - In Exercises 13-22, solve the system of equations...Ch. 6.7 - Prob. 18ECh. 6.7 - In Exercises 13-22, solve the system of equations...Ch. 6.7 - Prob. 20ECh. 6.7 - Prob. 21ECh. 6.7 - Prob. 22ECh. 6.7 - Prob. 23ECh. 6.7 - Prob. 24ECh. 6.7 - In Exercises 23-34, solve the system of equations...Ch. 6.7 - Prob. 26ECh. 6.7 - Prob. 27ECh. 6.7 - Prob. 28ECh. 6.7 - Prob. 29ECh. 6.7 - Prob. 30ECh. 6.7 - Prob. 31ECh. 6.7 - Prob. 32ECh. 6.7 - Prob. 33ECh. 6.7 - Prob. 34ECh. 6.7 - In Exercises 35-48, solve the system of equations...Ch. 6.7 - In Exercises 35-48, solve the system of equations...Ch. 6.7 - In Exercises 35-48, solve the system of equations...Ch. 6.7 - In Exercises 35-48, solve the system of equations...Ch. 6.7 - In Exercises 35-48, solve the system of equations...Ch. 6.7 - In Exercises 35-48, solve the system of equations...Ch. 6.7 - Prob. 41ECh. 6.7 - Prob. 42ECh. 6.7 - Prob. 43ECh. 6.7 - Prob. 44ECh. 6.7 - Prob. 45ECh. 6.7 - Prob. 46ECh. 6.7 - Prob. 47ECh. 6.7 - Prob. 48ECh. 6.7 - Prob. 49ECh. 6.7 - Prob. 50ECh. 6.7 - MODELINGSelling Backpacks Benjamins Backpacks can...Ch. 6.7 - MODELINGManufacturing Blu-ray Disc Players A...Ch. 6.7 - MODELINGSelling Earbuds SoundsGreat manufactures...Ch. 6.7 - Prob. 54ECh. 6.7 - Prob. 55ECh. 6.7 - Prob. 56ECh. 6.7 - Prob. 57ECh. 6.7 - Prob. 58ECh. 6.7 - Prob. 59ECh. 6.7 - MODELINGCopy Service Jayne recently purchased a...Ch. 6.7 - MODELINGHardwood Floor Installation The cost to...Ch. 6.7 - Prob. 62ECh. 6.7 - Prob. 63ECh. 6.7 - Prob. 64ECh. 6.7 - Prob. 65ECh. 6.7 - Prob. 66ECh. 6.7 - Prob. 67ECh. 6.7 - Prob. 68ECh. 6.7 - Prob. 69ECh. 6.7 - Construct a system of two linear equations that...Ch. 6.7 - Prob. 71ECh. 6.7 - Prob. 72ECh. 6.7 - Prob. 73ECh. 6.8 - In Exercises 110, fill in the blank with an...Ch. 6.8 - In Exercises 110, fill in the blank with an...Ch. 6.8 - In Exercises 110, fill in the blank with an...Ch. 6.8 - In Exercises 110, fill in the blank with an...Ch. 6.8 - In Exercises 110, fill in the blank with an...Ch. 6.8 - In Exercises 110, fill in the blank with an...Ch. 6.8 - In Exercises 110, fill in the blank with an...Ch. 6.8 - Prob. 8ECh. 6.8 - Prob. 9ECh. 6.8 - Prob. 10ECh. 6.8 - Prob. 11ECh. 6.8 - Prob. 12ECh. 6.8 - Prob. 13ECh. 6.8 - Prob. 14ECh. 6.8 - Prob. 15ECh. 6.8 - Prob. 16ECh. 6.8 - Prob. 17ECh. 6.8 - Prob. 18ECh. 6.8 - Prob. 19ECh. 6.8 - Prob. 20ECh. 6.8 - Prob. 21ECh. 6.8 - Prob. 22ECh. 6.8 - Prob. 23ECh. 6.8 - Prob. 24ECh. 6.8 - Prob. 25ECh. 6.8 - Prob. 26ECh. 6.8 - Prob. 27ECh. 6.8 - Prob. 28ECh. 6.8 - Prob. 29ECh. 6.8 - Prob. 30ECh. 6.8 - Prob. 31ECh. 6.8 - Prob. 32ECh. 6.8 - Prob. 33ECh. 6.8 - Prob. 34ECh. 6.8 - Prob. 35ECh. 6.8 - Prob. 36ECh. 6.8 - Prob. 37ECh. 6.8 - Prob. 38ECh. 6.8 - Prob. 39ECh. 6.8 - Prob. 40ECh. 6.8 - Prob. 41ECh. 6.8 - Prob. 42ECh. 6.8 - Prob. 43ECh. 6.8 - Prob. 44ECh. 6.8 - Prob. 45ECh. 6.8 - Prob. 46ECh. 6.8 - Prob. 47ECh. 6.8 - Prob. 48ECh. 6.8 - Prob. 49ECh. 6.8 - Prob. 50ECh. 6.8 - Prob. 51ECh. 6.8 - MODELINGWashing Machine Production A company...Ch. 6.8 - MODELINGPaint Production A paint supplier has two...Ch. 6.8 - Prob. 54ECh. 6.8 - Prob. 55ECh. 6.8 - Prob. 56ECh. 6.8 - Prob. 57ECh. 6.8 - Prob. 58ECh. 6.8 - Prob. 59ECh. 6.9 - An expression that contains two terms in which...Ch. 6.9 - An expression that contains three terms in which...Ch. 6.9 - Prob. 3ECh. 6.9 - Prob. 4ECh. 6.9 - When a quadratic equation cannot be easily solved...Ch. 6.9 - Prob. 6ECh. 6.9 - Prob. 7ECh. 6.9 - Prob. 8ECh. 6.9 - Prob. 9ECh. 6.9 - In Exercises 7-22, factor the trinomial. 10. x2 +...Ch. 6.9 - Prob. 11ECh. 6.9 - Prob. 12ECh. 6.9 - Prob. 13ECh. 6.9 - Prob. 14ECh. 6.9 - In Exercises 7-22, factor the trinomial. 15. x2 ...Ch. 6.9 - Prob. 16ECh. 6.9 - In Exercises 7-22, factor the trinomial. 17. x2 ...Ch. 6.9 - Prob. 18ECh. 6.9 - Prob. 19ECh. 6.9 - In Exercises 7-22, factor the trinomial. 20. x2 +...Ch. 6.9 - Prob. 21ECh. 6.9 - Prob. 22ECh. 6.9 - Prob. 23ECh. 6.9 - Prob. 24ECh. 6.9 - In Exercises 23-34, factor the trinomial. 25. 3x2...Ch. 6.9 - Prob. 26ECh. 6.9 - In Exercises 2334, factor the trinomial. 27. 5x2 +...Ch. 6.9 - Prob. 29ECh. 6.9 - Prob. 28ECh. 6.9 - In Exercises 2334, factor the trinomial. 30. 4x2 +...Ch. 6.9 - Prob. 31ECh. 6.9 - Prob. 32ECh. 6.9 - Prob. 33ECh. 6.9 - Prob. 34ECh. 6.9 - In Exercises 3538, solve each equation, using the...Ch. 6.9 - Prob. 36ECh. 6.9 - Prob. 37ECh. 6.9 - Prob. 38ECh. 6.9 - Prob. 39ECh. 6.9 - In Exercises 3958, solve each equation by...Ch. 6.9 - Prob. 41ECh. 6.9 - Prob. 42ECh. 6.9 - Prob. 43ECh. 6.9 - Prob. 44ECh. 6.9 - In Exercises 3958, solve each equation by...Ch. 6.9 - Prob. 46ECh. 6.9 - Prob. 47ECh. 6.9 - Prob. 48ECh. 6.9 - Prob. 49ECh. 6.9 - In Exercises 3958, solve each equation by...Ch. 6.9 - Prob. 51ECh. 6.9 - Prob. 52ECh. 6.9 - Prob. 53ECh. 6.9 - Prob. 54ECh. 6.9 - In Exercises 3958, solve each equation by...Ch. 6.9 - Prob. 56ECh. 6.9 - Prob. 57ECh. 6.9 - Prob. 58ECh. 6.9 - Prob. 59ECh. 6.9 - In Exercises 5978, solve the equation, using the...Ch. 6.9 - Prob. 61ECh. 6.9 - Prob. 62ECh. 6.9 - Prob. 63ECh. 6.9 - Prob. 64ECh. 6.9 - In Exercises 5978, solve the equation, using the...Ch. 6.9 - Prob. 66ECh. 6.9 - Prob. 67ECh. 6.9 - Prob. 68ECh. 6.9 - Prob. 69ECh. 6.9 - In Exercises 5978, solve the equation, using the...Ch. 6.9 - Prob. 71ECh. 6.9 - Prob. 72ECh. 6.9 - Prob. 73ECh. 6.9 - Prob. 74ECh. 6.9 - Prob. 75ECh. 6.9 - Prob. 76ECh. 6.9 - Prob. 77ECh. 6.9 - Prob. 78ECh. 6.9 - Prob. 79ECh. 6.9 - Prob. 80ECh. 6.9 - Height of a Ball A ball is projected upward from...Ch. 6.9 - Prob. 82ECh. 6.9 - Prob. 83ECh. 6.9 - Prob. 84ECh. 6.9 - Write an equation that has solutions 1 and 3.Ch. 6.10 - In Exercises 18, fill in the blank with an...Ch. 6.10 - Prob. 2ECh. 6.10 - Prob. 3ECh. 6.10 - Prob. 4ECh. 6.10 - Prob. 5ECh. 6.10 - Prob. 6ECh. 6.10 - Prob. 7ECh. 6.10 - Prob. 8ECh. 6.10 - Prob. 9ECh. 6.10 - Prob. 10ECh. 6.10 - Prob. 11ECh. 6.10 - Prob. 12ECh. 6.10 - Prob. 13ECh. 6.10 - Prob. 14ECh. 6.10 - In Exercises 922, determine whether the graph...Ch. 6.10 - Prob. 16ECh. 6.10 - Prob. 17ECh. 6.10 - Prob. 18ECh. 6.10 - Prob. 19ECh. 6.10 - Prob. 20ECh. 6.10 - Prob. 21ECh. 6.10 - Prob. 22ECh. 6.10 - Prob. 23ECh. 6.10 - Prob. 24ECh. 6.10 - Prob. 25ECh. 6.10 - Prob. 26ECh. 6.10 - Prob. 27ECh. 6.10 - Prob. 28ECh. 6.10 - Prob. 29ECh. 6.10 - Prob. 30ECh. 6.10 - Prob. 31ECh. 6.10 - Prob. 32ECh. 6.10 - Prob. 33ECh. 6.10 - Prob. 34ECh. 6.10 - In Exercises 2940, evaluate the function for the...Ch. 6.10 - Prob. 36ECh. 6.10 - Prob. 37ECh. 6.10 - Prob. 38ECh. 6.10 - Prob. 39ECh. 6.10 - Prob. 40ECh. 6.10 - Prob. 41ECh. 6.10 - Prob. 42ECh. 6.10 - Prob. 43ECh. 6.10 - Prob. 44ECh. 6.10 - Prob. 45ECh. 6.10 - Prob. 46ECh. 6.10 - Prob. 47ECh. 6.10 - Prob. 48ECh. 6.10 - In Exercises 4760, a. determine whether the...Ch. 6.10 - Prob. 50ECh. 6.10 - Prob. 51ECh. 6.10 - Prob. 52ECh. 6.10 - In Exercises 4760, a. determine whether the...Ch. 6.10 - Prob. 54ECh. 6.10 - Prob. 55ECh. 6.10 - Prob. 56ECh. 6.10 - In Exercises 4760, a. determine whether the...Ch. 6.10 - Prob. 58ECh. 6.10 - Prob. 59ECh. 6.10 - Prob. 60ECh. 6.10 - Prob. 61ECh. 6.10 - Prob. 62ECh. 6.10 - Prob. 63ECh. 6.10 - Prob. 64ECh. 6.10 - In Exercises 6170, draw the graph of the function...Ch. 6.10 - Prob. 66ECh. 6.10 - In Exercises 6170, draw the graph of the function...Ch. 6.10 - Prob. 68ECh. 6.10 - In Exercises 6170, draw the graph of the function...Ch. 6.10 - In Exercises 6170, draw the graph of the function...Ch. 6.10 - Yearly Profit Marta is a part owner of a newly...Ch. 6.10 - Finding Distances The distance a car travels,...Ch. 6.10 - U.S. Foreign-Born Population The graph on the top...Ch. 6.10 - Hourly Temperature The following graph indicates...Ch. 6.10 - Bacteria The number of a certain type of bacteria,...Ch. 6.10 - Adjusting for Inflation If P is the price of an...Ch. 6.10 - Expected Growth The town of Lockport currently has...Ch. 6.10 - Value of an SUV The cost of a new SUV is 30,000 If...Ch. 6.10 - Population of India The population of India in...Ch. 6.10 - Value of New York City Assume the value of the...Ch. 6.10 - Radioactive Decay Radium -226 is a radioactive...Ch. 6.10 - Radioactive Decay Strontium-90 is a radioactive...Ch. 6.10 - Global Smartphone Sales The following graph shows...Ch. 6.10 - Prob. 84ECh. 6.10 - Prob. 85ECh. 6.10 - Prob. 86ECh. 6.10 - Prob. 87ECh. 6.10 - Prob. 88ECh. 6 - In Exercises 14, evaluate the expression for the...Ch. 6 - Prob. 2RECh. 6 - Prob. 3RECh. 6 - Prob. 4RECh. 6 - Prob. 5RECh. 6 - Prob. 6RECh. 6 - Prob. 7RECh. 6 - Prob. 8RECh. 6 - Prob. 9RECh. 6 - Prob. 10RECh. 6 - Prob. 11RECh. 6 - Prob. 12RECh. 6 - Prob. 13RECh. 6 - Prob. 14RECh. 6 - Prob. 15RECh. 6 - Prob. 16RECh. 6 - Prob. 17RECh. 6 - Prob. 18RECh. 6 - In Exercises 19 and 20, write the phrase in...Ch. 6 - In Exercises 19 and 20, write the phrase in...Ch. 6 - In Exercises 2124, write an equation trial can be...Ch. 6 - In Exercises 2124, write an equation trial can be...Ch. 6 - In Exercises 2124, write an equation trial can be...Ch. 6 - In Exercises 2124, write an equation trial can be...Ch. 6 - In Exercises 2528, write the equation and then...Ch. 6 - In Exercises 2528, write the equation and then...Ch. 6 - In Exercises 2528, write the equation and then...Ch. 6 - In Exercises 2528, write the equation and then...Ch. 6 - Prob. 29RECh. 6 - Prob. 30RECh. 6 - Prob. 31RECh. 6 - Prob. 32RECh. 6 - Prob. 33RECh. 6 - Prob. 34RECh. 6 - Prob. 35RECh. 6 - Prob. 36RECh. 6 - Prob. 37RECh. 6 - Prob. 38RECh. 6 - Prob. 39RECh. 6 - Prob. 40RECh. 6 - Prob. 41RECh. 6 - Prob. 42RECh. 6 - Prob. 43RECh. 6 - Prob. 44RECh. 6 - Prob. 45RECh. 6 - Prob. 46RECh. 6 - Prob. 47RECh. 6 - Prob. 48RECh. 6 - Prob. 49RECh. 6 - Prob. 50RECh. 6 - Prob. 51RECh. 6 - Prob. 52RECh. 6 - Prob. 53RECh. 6 - Prob. 54RECh. 6 - MODELING Taxi Business Cost Tonys weekly cost, C,...Ch. 6 - Prob. 56RECh. 6 - Prob. 57RECh. 6 - Prob. 58RECh. 6 - Prob. 59RECh. 6 - Prob. 60RECh. 6 - Prob. 61RECh. 6 - Prob. 62RECh. 6 - Prob. 63RECh. 6 - Prob. 64RECh. 6 - Prob. 65RECh. 6 - Prob. 66RECh. 6 - Prob. 67RECh. 6 - Prob. 68RECh. 6 - Prob. 69RECh. 6 - Prob. 70RECh. 6 - Prob. 71RECh. 6 - Prob. 72RECh. 6 - Prob. 73RECh. 6 - Prob. 74RECh. 6 - Prob. 75RECh. 6 - Prob. 76RECh. 6 - Prob. 77RECh. 6 - Prob. 78RECh. 6 - Prob. 79RECh. 6 - Prob. 80RECh. 6 - Prob. 81RECh. 6 - Prob. 82RECh. 6 - Prob. 83RECh. 6 - Prob. 84RECh. 6 - Prob. 85RECh. 6 - Prob. 86RECh. 6 - Prob. 87RECh. 6 - Prob. 88RECh. 6 - Prob. 89RECh. 6 - Prob. 90RECh. 6 - In Exercises 9194, evaluate f(x) for the given...Ch. 6 - In Exercises 9194, evaluate f(x) for the given...Ch. 6 - In Exercises 9194, evaluate f(x) for the given...Ch. 6 - In Exercises 9194, evaluate f(x) for the given...Ch. 6 - In Exercises 95 and 96, for each function a....Ch. 6 - In Exercises 95 and 96, for each function a....Ch. 6 - In Exercises 97 and 98, draw the graph of the...Ch. 6 - In Exercises 97 and 98, draw the graph of the...Ch. 6 - Prob. 99RECh. 6 - Prob. 100RECh. 6 - Prob. 1TCh. 6 - Prob. 2TCh. 6 - Prob. 3TCh. 6 - Prob. 4TCh. 6 - Prob. 5TCh. 6 - Prob. 6TCh. 6 - Prob. 7TCh. 6 - Prob. 8TCh. 6 - Prob. 9TCh. 6 - Prob. 10TCh. 6 - Prob. 11TCh. 6 - Prob. 12TCh. 6 - Prob. 13TCh. 6 - Prob. 14TCh. 6 - Prob. 15TCh. 6 - Prob. 16TCh. 6 - Prob. 17TCh. 6 - Prob. 18TCh. 6 - Prob. 19TCh. 6 - Prob. 20T
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- Exercises 105–107 will help you prepare for the material covered in the next section. 105. Let x represent a number. a. Write an equation in x that describes the following conditions: Four less than three times the number is 32. b. Solve the equation and determine the number. 106. Let x represent the number of countries in the world that are not free. The number of free countries exceeds the number of not-free countries by 44. Write an algebraic expression that represents the number of free countries. 107. You purchase a new car for $20,000. Each year the value of the car decreases by $2500. Write an algebraic expression that represents the car's value, in dollars, after x years.arrow_forwardAmerica is getting older. The graph shows the projected elderly U.S. population for ages 65–84 and for ages 85 and older.The formula E = 5.8√x + 56.4 models the projected number of elderly Americans ages 65–84, E, in millions, x years after 2020.a. Use the formula to find the projected increase in the number of Americans ages 65–84, in millions, from 2030 to 2060. Express this difference in simplified radicalform.b. Use a calculator and write your answer in part (a) to the nearest tenth. Does this rounded decimal overestimate or underestimate the difference in the projected data shown by the bar graph ? By how much?arrow_forwardSolve the variation problems in Exercises 68–73. 68. A company's profit varies directly as the number of products it sells. The company makes a profit of $1175 on the sale of 25 products. What is the company's profit when it sells 105 products? 69. The distance that a body falls from rest varies directly as the square of the time of the fall. If skydivers fall 144 feet in 3 seconds, how far will they fall in 10 seconds? 70. The pitch of a musical tone varies inversely as its wavelength. A tone has a pitch of 660 vibrations per second and a wavelength of 1.6 feet. What is the pitch of a tone that has a wavelength of 2.4 feet? 71. The loudness of a stereo speaker, measured in decibels, varies inversely as the square of your distance from the speaker. When you are 8 feet from the speaker, the loudness is 28 decibels. What is the loudness when you are 4 feet from the speaker? 72. The time required to assemble computers varies directly as the number of computers assembled and inversely as…arrow_forward
- The average amount A (in pounds per person) of fish and shellfish consumed in the UnitedStates during the period 1992–2001 can be modeled by A = (3.2x + 260)/(52x + 3800) where x is the number of years since 1992.Rewrite the model so that it has only whole number coefficients. Then simplify the model.arrow_forwardYour cardiac index is your heart's output, in liters of blood per minute, divided by your body's surface area, in square meters. The cardiac index, C(x), can be modeled by 7.644 C(x) = 10 s xs 80, where x is an individual's age, in years. The graph of the function is shown. Use the function to solve Exercises 95–96. 7.644 C(x) = %3D 10 20 30 40 50 60 70 80 90 Age 95. a. Find the cardiac index of a 32-year-old. Express the denominator in simplified radical form and reduce the fraction. b. Use the form of the answer in part (a) and a calculator to express the cardiac index to the nearest hundredth. Identify your solution as a point on the graph. 96. a. Find the cardiac index of an 80-year-old. Express the denominator in simplified radical form and reduce the fraction. Cardiac Index liters per minute squar e met ers 654 32arrow_forwardExercises 149–151 will help you prepare for the material covered in the next section. 149. Multiply: (Vx + 4 + 1)2. 150. Solve: 4x2 16x + 16 = 4(x + 4). 151. Solve: 26 – 11x 16 – 8x + x?.arrow_forward
- For Exercises 49–52, rewrite the equation so that the coefficient on x is positive.arrow_forwardIn Exercises 83–90, perform the indicated operation or operations. 83. (3x + 4y)? - (3x – 4y) 84. (5x + 2y) - (5x – 2y) 85. (5x – 7)(3x – 2) – (4x – 5)(6x – 1) 86. (3x + 5)(2x - 9) - (7x – 2)(x – 1) 87. (2x + 5)(2r - 5)(4x? + 25) 88. (3x + 4)(3x – 4)(9x² + 16) (2x – 7)5 89. (2x – 7) (5x – 3)6 90. (5x – 3)4arrow_forwardIn Exercises 125-134, solve each equation. 125. 25 - [2 + 5x – 3(x + 2)] = -3(2x – 5) – [5(x – 1) – 3x + 3] 126. 45 - [4 - 2x – 4(x + 7)] = -4(1 + 3x) – [4 – 3(x + 2) – 2(2x – 5)] 127. 7 - 7x = (3x + 2)(x - 1) 128. 10x - 1 = (2r + 1) 129. |x + 2x – 36| = 12 130. |x + 6x + 1| = 8 1 + 1 5 131. 3x + 2 x + 2 x? - 4 1 132. X - 2 X - 3 x - 5x + 6 133. Vx + 8 - Vx 4 = 2 134. Vx + 5 – Vx - 3 = 2 + 1.arrow_forward
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