Simplify the following rational function and state where the vertical asymptote and hole exist.

Q: Given the matrix transformation: Then we have Select one: True False 0 f(v) = (~)-[₁¹]. (&)-[]

A: Please see the below picture for detailed solution.

Q: Which best describes the following matrix: 1000 0 1 0 0 0010 0 201 ? Dilation by a factor of 2 in…

A: Given : 1000010000100201   Note that : The matrix, 100001000010lmn1  produces translation in x,y,z…

Q: Determine whether the following statement is true or false: Given matrices A of the size 3 × 5 and B…

A: We have given matrices A and B Size of matrix A = 3×5 Size of matrix B = 5×3 So, Size of AB = 3×3…

Q: Country Information Country Name Current Country Population Est. Country Population In 2052…

A: Given:Population in 2022:  217,989,714Population in 2052:  457,248,157Population…

Q: Answer the questions below based on the two quadratic functions. Function 1 f(x)=3x² + 12x + 19 10.8…

A: Given query is to find vertex of the parabola.

Q: y = Plot five points on the parabola: the vertex, two points to the left of the vertex, and two…

A: We need to graph the parabola y=14x2 by plotting 5 pointsvertex, two points to the left of vertex…

Q: the quadratic function ​f(x)=(x+2)^2 determine the largest open interval of the domain ​(a) over…

A: Given query is to find the interval where function is increasing and decreasing.

Q: Problem #1 Let A = 1 1 1 -1 b) A-¹ 1 0 a) Find the adj of A

A: See the details solution in below

Q: 1 1 1 ← Solve ーリー+- for p. Assume all variables are positive. p q p= (Simplify your answer.)

A:

Q: QUESTION 5 Write the equation of the line with slope: O O y=2==(x-6) 2 y+2=(x+6) 3 2 y+2=(x-6) 3 2 3…

A:

Q: Solve the equation by graphing. x²-9=0 First, graph the associated parabola by plotting the vertex…

A:

Q: Write the quadratic function f(x) = x² - 19 x + 2 in the form f(x) = (x - h)² + k f(x) =

A:

Q: For the vectors = 2 (a) The distance from (b) The angle between and y = - 3 2 and y is [Select] and…

A: I am attaching image so that you understand each and every step.

Q: 23. It takes Bryce and Caleb the same amount of time to row 6 mi upstream as it takes them to row 18…

A: We have to find the speed of current.

Q: Let u=2x(1-y). (a) Show that u(x, y) is harmonic. (b) Find v(x, y), the conjugate harmonic function…

A:

Q: K Determine visually whether the graph is symmetric with respect to the x-axis, the y-axis, or the…

A:

Q: A graph of a function f is given. y 1 (x, y) = 0 2 (a) Find the local minimum value of f and the…

A: We have given graph of the function  From given graph  (a)  The local minimum occurs at x=-1 local…

Q: . What is the cardinality of each of these sets? b) {{a}} d) {a, {a}, {a, {a}}} a) {a} c) {a, {a}}

A: I am attaching image so that you understand each and every step.

Q: unction Sketch the graph of the corresponding inverse function and determine the domain and range.…

A: Note: - According to the company policy we can attempt only one question so please upload the next…

Q: Please help me answer question #29 meeting the requirements for both part a and part b. Note that…

A:

Q: The function R(p) = -p² + 100p represents the daily revenue R earned from selling digital cameras at…

A: NOTE: Refresh your page if you can't see any equations. . the given revenue function is  where p is…

Q: Given a matrix 0 1 0 1 A = 0 0 √√8xy + y² 1 0 4 0 0 √√xy-y²014 [ 3x 1 Choose all values of x and y…

A:

Q: 5297 Use algebra to find the inverse of the function f(x) The inverse function is f-¹(a) = Entry…

A: To find the inverse of the given function

Q: Find the area of the parallelogram with vertices (0, 0), (1, — 5), (4, 10), (5,5).

A:

Q: Round your answers to the nearest cent. Alyssa opened a retirement account with 6.25% APR in the…

A:

Q: Circle F Diameter KC Chord TJ Radius JF Secant KM Either Use The circle "Insert--> Shapes" Create…

A: Topic:- Geometry

Q: 4) The area of a rectangular garden is (-3x³ - 6x²-x-2) m². The garden is (x + 2) m long. How wide…

A: See the details solution in below

Q: Find the circumference of the circle. Use 3.14. 6 mi

A: The radius of the circle is:r=6  mi

Q: equation y=x2−3​, ​(​a) create a table with at least three ordered pairs that are solutions of the​…

A: Given query is to graph the function.

Q: +6x+5=0 aph the associated parabola by plotting the vertex and four additional points, two on use…

A: Topic:- application of geometry

Q: 5. Let P(r), Q(x), and R(r) be the statements {r is a lion}, {z is fierce}, and {r drinks coffee},…

A:

Q: The graph of a quadratic function with vertex (-1, -2) is shown in the figure below. Find the range…

A:

Q: r a film show were sold at GH₵4 per adult and GH₵2 per  child. The total amount raised from 500…

A: To solve the following problem

Q: Describe how the graph of the function can be obtained from one of the basic graphs. f(x) = 3√√x-1…

A: We have to given formation of given graph from basic graph.

Q: Domain of g-¹ (x) ;.

A:

Q: Write an expression in factored form for the polynomial of least possible degree graphed below. y(x)…

A: Given query is to find the function of the graph.

Q: Given a matrix A - 2x -1 00 0 0 6 -2 5 3xy + y2 -1 -1 3 √√xy-y² 0 -1 -2 Choose all values of x and y…

A:

Q: The graph of a quadratic function with vertex (1, -2) is shown in the figure below. Find the range…

A: The given graph is of a parabola with vertex (1, -2) which is open downwards.

Q: 14. Use Patterns and Structure Shea sells bracelets at the farmer's market. For each bracelet she…

A: Given :- Spending on beads per bracelet = $1.50 Spending on hardware per bracelet = $3.0 Rent of…

Q: If Rita receives $63.90 interest for a deposit earning 6% simple interest for 150 days, what is the…

A: Recall: Simple interest SI=PRT Where, P=The amount of deposit, R= interest rate, T= Time in years

Q: Please help with steps to solve and a solution Given g(x) = |x + 4| what is the range and domain?

A: Given query is to find the domain and the range of the function.

Q: Solve for E. h= E mg E = hmg [

A: Given query is to solve for E.

Q: Divide. 7 75 16y'x - 14y'x 53 2y x

A: Given :

Q: The graph of y = f(x) is shown below (dashed curve). Manipulate the green draggable points to obtain…

A:

Q: Find the intervals on which f(x) is increasing, the intervals on which f(x) is decreasing, and the…

A: Let's find function decreasing, increasing interval and local minimum and maximum.

Q: Find the domain of the function. f(x) = 8x + 8 ... Select the correct choice below and, if…

A:

Q: It x² (n x)² dx = (a (1 x)² + bin x + c) + constant, then 23a + 96 +29 c = If -

A:

Q: How many local maxima and minima does the polynomial have? y=0.2x5+2x4-20.33x3-24.5x2+588x + 12 2…

A:

Q: Ten liters of pure water and 15 liters of 35 % salt solution are poured into a drum originally…

A: The answer is in step 2.

Q: Ten liters of pure water and 15 liters of 35 % salt solution are poured into a drum originally…

A: