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Q: (2z-11)2+3=17

A: Given information:The given equation is (2z-11)^2+3=17.

Q: Write the equation in its equivalent logarithmic form. 5 125 What is the equivalent logarithmic form...

A: We have to use definition of logarithm.

Q: Find the vertex, y-intercept, and x-intercepts of the quadratic function, and then graph it. y = x...

A: The given function is y=x2-4x-1.

Q: Write the equation of the line that has slope m = − 1 and passes through the point (0, 2) . Explain ...

A: Refer to the question the line has slope m = -1 and it passes through the point (0, 2).Then consider...

Q: Find f(g(x)) and g(f(x)) and determine whether the pair of functions f and g are inverses of each ot...

A: The given functions are,

Q: Christine, Ali, and Henry served a total of 138 orders on Monday at the school cafeteria Henry serve...

A: Given information:Christine, Ali, and Henry served a total of 138 orders on Monday at the school caf...

Q: Find the coordinates of the vertex of the quadratic functions beneath: y=3x2 y=3x2-2 y=-x2+3

A: (a)We can compare with quadratic equations and find a , b and c

Q: In the equation D equals 3.25 G, which takes input values of gallons (G) for fuel and gives output v...

A: We have given the equation D=3.25 G, where D represents the cost in dollars and G is the value of ga...

Q: In 2000, 51% of the residents in a large city regularly used newspapers for getting news and this ha...

A: It is given that the percentage of Residents who get news by reading newspaper is 51%.It is also giv...

Q: Function g is related to the parent function. Identify the parent function f. g(x)=4-[[x]] a. Con...

A: Consider the given function:

Q: Janet, an experienced shipping clerk, can fill a certain order in 12 hours. Bill, a new clerk, n...

A: Click to see the answer

Q: Find the inverse Step by step explanation on how to perform the row operations to find the inverse.

A: First we write using augmented matrix.

Q: Stan paid $580.50 after taxes for a new television. If the sales tax rate is 7.5%, what was the cost...

A: Given, total cost = $580.50 and sales tax rate = 7.5%

Q: The points (-4,-4) and (3,6) are the endpoints of the diameter of a circle. Find the length of...

A: The distance between two points (x1,y1) and (x2,y2) is given by:Given points are (x1,y1) = (-4,-4)...

Q: # 41 # 42

A: Find the invested amount in both accounts.Let P be the principal amount.Here, the total simple inter...

Q: Solve the following exponential equation by expressing each side as a power of the same base and the...

A: We first write 64= 4^3 and 1/sqrt(4)=4^(-1/2)

Q: Given the function f(x) = vx-7, (a) Find f (x). (b) Graph f andf in the same rectangular coordinate ...

A: (a)Consider the given function:

Q: If two opposite sides of a square are increased by 12 meters and the other sides are decreased by 10...

A: Given that two opposite sides of a square are increased by 12 meters and the other sides are decreas...

Q: Let f(x) = 4x2 + 6x -5 and simplify f(2+x)

A: The given function is f (x) = 4x2+6x–5.

Q: Consider the arithmetic sequence with the first term ai = 300 and common difference d=-90. What are ...

A: In an arithmetic sequence the terms can be obtained by adding the common difference to the previous ...

Q: 11. Simplify the following completely. Write your answer without using negative exponents. (Note: To...

A: Here, we use the above rules of exponents

Q: 9) A surfboard with a regular price of $525 is on sale at 20% off. Find the sale price of the board.

A: Given information:The regular price of the surfboard is $525.The surfboard is on sale at 20% off. Th...

Q: Below are eight functions. Find the first derivative of each. Space is provided. Use good dark in...

A: Since we are entitled to answer up to 3 sub-parts, we’ll answer the first 3 as you have not mentione...

Q: For following function, select (on the same set of coordinate axes) a graph for c = -3, 5, and 4. ...

A: The function is given by,

Q: Use synthetic division to divide: f (x) = 10x^ 4 −50x^ 3 −800 / x −6

A: We are given a function

Q: For fx) = Vx and g(x) = x + 4, find b. the domain of fo g a. (fo g)(x) (f o g)(x) a. (Simplify your ...

A: Given that two functions:

Q: Consider the function fx)= -3x +18x-8. Determine, without graphing, whether the function has a minim...

A: The function -3x2+18x-8.

Q: Solve for x: e^ x^ 2+6 = e^5x

A: Given expression is

Q: For f(x) 1-x and g(x)= 2x +x+6, find the following functions a. (f o g)(x): b. (gof)(x); c. (fo g)2)...

A: Answer: (a): -2x^2-x-5

Q: Write an equation (slope-intercept form) of the line L satisfying the given conditions: 1.) L passes...

A: 1)The slope of line ax+by=c is -a/b, using this we can calculate the slope of given line m1 which is...

Q: Graph the solution to the following system of inequalities. x-5 yz-4 3x+4y8 10 6 ? 4 -10 -8 -6 6 10 ...

A: Given information:The system of equation is shown below:

Q: 6 and g(x) = X find the following functions For f(x)= X a. (fo g)(x), b. (g o f)(x), c. (f o g)(7), ...

A: Given,

Q: Let A = [1 -1 -1 -1 1 -1 -1 -1 1]. Find a diagonalization if possible.

A: We first find the eigenvalues and eigenvectors of A.Start from forming a new matrix by subtracting λ...

Q: Out of 230 racers who started the marathon, 212 completed the race, 14 gave up, and 4were disqualifi...

A: Given that, there were 230 racers started the marathon.So, 100% is 230.Here 14 gave up and 4 were di...

Q: In Exercise 4, given each set of numbers, list the a) natural Numbers b) whole numbers c) integers d...

A: Given set of numbers are:Natural numbers:The numbers that are used for counting are called natural n...

Q: Solve the system. If there is no solution or if there are infinitely many solutions and the system's...

A: Adding second and third equation

Q: O SYSTEMS OF LINEAR EQUATIONS Paul Solving a word problem using a system of linear equations of. Esp...

A: Given information:Deandre the trainer has two solo workout plans that he offers his clients: Plan A ...

Q: Find all rational zeros of the function f (x) = 9x ^4 −9x ^3 −58x ^2 +4x +24

A: Consider the provided function.

Q: I am needing help solving the question: The quantity represents a real number. Find any restrictio...

A: Given information:The given equation is 1/2x-5=10

Q: Multiply. Use the distributive property. -2(2a-4b)

A: The given expression is –2(2a–4b).

Q: What are the zeros of the function x^2+2x-3 over x^2+3x+2

A: To find the zeroes of the function x2+2x-3 over x2+3x+2.The zeroes of a function are the values such...

Q: Find an equation of the circle whose diameter has endpoints (-5, 6) and (3, 2). X

A: Click to see the answer

Q: Divide −4x2−2x+14 by 2x+3 Write your answer in the form: −4x2−2x+14=(2x+3)×q(x)+r(x) −4x...

A: Click to see the answer

Q: # 90 and #91

A: 90. Solve a formula for a specific variable.

Q: Given the following function (a) find the vertex (b) determine whether there is a maximum or a minim...

A: Note: This question consists of 4 sub parts, we are authorized to answer up to 3 subparts, so we are...

Q: The y-intercept should be a coordinate point like (0,15), so what would it be?

A: The given y-intercept is a coordinate point like (0,15)

Q: Can you help me to solve from 1 to 3?

A: Given polynomial is :

Q: Condense the expression log4 x + log4 3 to the logarithm of a single term.

A: We will use the addition rule of logarithm.

Q: For 1-5, use the following function and use proper set builder or interval notation when appropriate...

A: The domain of the function is the values of x. And we have -3<= x <= 2 and x>2. Combining t...

Q: #9 Directions: Write the equation of the line in S.I. and S.F.

A: It is given that the equation is passing through the point (6,-4) and perpendicular to the line x-4y...