Fill in the gaps to factorise the expression below: 3x2 + 16x + 5 = (3x + ___) (x + ___) Use your answer to solve: 3x2 + 16x + 5 = 0

Q: A study of several cities shows a positive correlation between the percent of people late to work…

A: A positive correlation between the percentage of people late to work and the amount of pollution on…

Q: A 1. X Y 5. Y X B 1. Y+Z 2. 3+ Y 3. (2nd) - X 6. (1st) + (4th) 7.(6th) + (5th) 2. (1st)/X 4. (3rd)/X…

A: Step 1: x × y = xyStep 2: 3 + yStep 3: (2nd) - x = (3 + y) - x = 3 +y - xStep 4: (3rd ) / x = (3 + y…

Q: Solve the system by the method of your choice. x=2y-6 -3x+6y = 18 ... Select the correct choice…

A:

Q: (2 points) If T: P₁ → P₁ is a linear transformation such that T(1 + 5x) = −1 − 3x and T(4 + 19x) =…

A: The objective of this question is to find the value of the linear transformation T(-3 - 4x) given…

Q: Find a polynomial function of degree 4 with the zeros -1 (multiplicity 2) and 1 (multiplicity 2),…

A: we are given the zeros of a polynomial function having the degree of 4 and we need to find out that…

Q: Find the domain of the function. f(x) = 9x + 10 Determine the domain of f(x). Choose the correct…

A: The domain of the function is all the values for which the function is defined.

Q: Find the slope of the line passing through the pair of points or state that the slope is undefined.…

A:

Q: Solve the following inequality. x² - 6x>0 Select the correct choice below and, if necessary, fill in…

A:

Q: 3. If it takes exactly one minute to drain a 10-gallon tank of water, the volume of water remaining…

A:

Q: Let T be a linear transformation from R² to R³ and suppose that (Q)-[]). T ¹ ([³]) - the vector…

A: It is given that,Here we have, Write vectors v1 and v2 in the matrix A

Q: The angle of elevation from a soccer ball on the ground to the top of the goal is 34°. If the goal…

A: The angle of elevation from a soccer ball on the ground to the top of the goal is 34". If the goal…

Q: A thermometer reading 8°C is brought into a room with a constant temperature of 28°C. If the…

A: Initial reading temperature= 8 °cConstant temperature= 28 °cAfter 3 minutes,reading temperature=15°c

Q: State the starting value a, the growth factor b, and the percentage growth rater for the given…

A:

Q: Current Attempt in Progress Solve the following equation exactly. Use an inverse function when…

A:

Q: Write an expression representing the given quantity. A population at time t years if it is initially…

A:

Q: Prehistoric cave paintings were discovered in a cave in France. The paint contained 7% of the…

A: Given the exponential decay model for cabon-14                                            where A0 =…

Q: 2+i). Find zw, zw, 2 2. Solve for z in the equation (2i + 1) + (3i)z = 5i. 3. Let x = a + hi y = di

A:

Q: 0 13 3. Find the matrix A such that A -6-20 use the variables a,b, c, d for the entries of A. 2-2…

A:

Q: sketch two possible different 'families' of 6th degree functions with roots at -3, 4 and 1 and write…

A: To sketch two possible different 'families' of 6th degree functions with roots at -3, 4 and 1

Q: A principal amount of $14,390 is placed in a savings account with an annual interest rate of 3.13%…

A: The compound interest formula is:Where,  is the principal, is the annual rate of interest,  is the…

Q: Let l₁: (x, y, z) = (18, 35, 4) + r(4, 6, 1) where r = R and l₂ : (x, y, z) = (−5, 2, −16) + t(1,…

A: To find the point of intersection of lines l1 and l2.Let, l1: andl2:

Q: The linear function f(x) = 48.8x + 63.8 models the number of smartphones sold in some country, f(x),…

A: The linear function that models the number of smartphones sold in a country is given by:

Q: Evaluate f(x) = 3x² - 2x when x = -3. 02 O 33 O28 08

A: given function

Q: The function 2x^3 + kx^2 + px -13  has a remainder of 21 when it is divided by  x-3 . The function…

A:

Q: Find a formula for the general term an of the sequence assuming the pattern of the first few terms…

A:

Q: use elementary row operations in order to solve the following system of equations. In order accurate…

A:

Q: 1. Determine a mapping of the form (x, y)-) from y=f(x) for each of the following. a. y=-f(7x) b.…

A: We have given a parent function y=f(x), We have to find the mapping of the function.

Q: Let f(x)=17x and g(x)=-3x-4. Find (f+g)(x), (f-g)(x), (fg)(x), and (1) (f+g)(x) = (Simplify your…

A:

Q: Find the domain of the function. 10 x-7 f(x)= What is the domain of f? OA. (-0,7) or (7,00) OB.…

A:

Q: Solve the inequality (2x-3)^2 (x-3) (x+2) <= 0

A: The given inequality .The aim is to find the solution interval for this inequality.

Q: A(-6, -2) is a point on the terminal side of 0 in standard form. Find the exact values of the…

A:

Q: Find all the complex zeros of the following polynomials: P(x) = (x - 1)(x - 2)(x2+2) P(x) =4x4-64…

A:

Q: The regression equation y = 1.3x + 6.8 approximates the number of minutes it takes an employee to…

A:

Q: Please solve using synthetic division and quadratic formula

A:

Q: Consider the following model of a market for hats in which Qs is quantity of hats produced, Qd is…

A: The objective of this question is to find the price at which the quantity of hats produced (Qs)…

Q: Solve the logarithmic equation. E log(x+8)+ log 4(x+5)=

A: log4⁡(x+8)+log4⁡(x+5)=1Using the logarithm propertiesloga+log⁡b=log⁡(ab)

Q: Suppose a random sample of n = 22 measurements is selected from a population with mean μ = 53 and…

A: A random sample of n = 22 measurements is selected from a population with mean μ = 53 and standard…

Q: Account A; the balance after 11 years is $17,779.17 Account A; the balance after 11 years is…

A: Principal investment, P= $9250Rate of interest, r = 6.12%Time, t = 11 years

Q: The fox population in a certain region has a continuous growth rate of 5 percent per year. It is…

A: Continuous growth rate of 5 percent per year,Population in the year 2000 was 17800Let the growth…

Q: Find (x) and (8). (+)(x) = (x)= 104 (Simplify your answer.)

A:

Q: Louisa has two jobs. She works as a barista, which pays $13 per hour, and she works as an…

A: Louisa has two jobs. She works as a barista, which pays $13 per hour, and she worksas an…

Q: Question 4 Maggie works at a very popular freshly squeezed lemonade stand on a beach that sells…

A: We have to maximize the profit.

Q: 7. Find the general solutions of the system with the following augmented matrix [1 - 2 - 1 3 3 - 6 -…

A:

Q: Answer each of the following questions. 1. 101.11012 x 2³ +110.10x 24

A:

Q: Graph the solution set of the system of inequalities. x+y > 3 x+y< -4 Choose the correct graph…

A:

Q: All vectors and subspaces are in R". Note you only have 5 attempts for this question. Check the true…

A: The objective of the question is to identify the true statements among the given options related to…

Q: Let = A = The cross product of two vectors in R³ is defined by a1 HH xb₂ = b3 [] b₁ a2b3-a3b₂…

A: v=[5      2     -8]

Q: -11- 2 4) Let C => 32 -3 and D= 3 Find C-3D.

A: Let C=[1−32] and D=[−13−2]

Q: Simplify the expression. Use positive exponents. Assume variables represent nonzero real numbers. 4…

A:

Q: What are the integer solutions of the equation ax +by+cz = d for a, b, c, d = Z? What is the…

A: I have appended the concept used in the solution procedure