Question 2. Let f (x) = ax+ b and g(x) = cx+ d. Find the values for a,b,c,d such that f(g(x)) = g(f (x)). Characterize the domain and range of f and g.

Q: 3. Which equation is the standard form a- 4y + 6x – 8y+1= 0?

A: Given,            x2-4y2+6x-8y+1=0To find : Write the equation in standard form.

Q: 6 |(0, 5) (6, 5) (0, 2) (2, 0) (6, 0) Given graph from our problem, we are required to write a…

A: We can solve as follows

Q: For #2 & 3, Use equations. If no solution is possible, state this. -2 1 2. 19

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Q: MIN

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Q: 9. Recursive sequence: a1 = -5, an = 8 – 2an-1

A: Topic = Sequence

Q: es for which the points P(x, y) are on the g y <0 2- -2 -1 -2 3+ Write your answer in interval…

A: Topic:- function

Q: May I please have a better explaination to this question please and thank you!

A: Let, the number of seam rippers  ordered = x. Given: The fabric store ordered 5 times as many pairs…

Q: Which property would you use to solve the equation? log, (x+ 1)+log,(x – 4) = 3 (Select all that…

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Q: Which expressions are equivalent to −7z+​(−6.5​)+4.5z+6y−1.5

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Q: The following augmented matrix which represents a linear system. Solve the linear system for x z. If…

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Q: Find V · (V × F) if F(x, y, z) = 10 sin ci + 4 cos(10x – 11y)j + 6zk.

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Q: number 4 only

A: Solve the following

Q: Given the function f(x) = -4+ 8x, calculate the following values: %3D f(a) = %3D f(a + h) = %3D f(a…

A:

Q: 4. Select all the true statements about the end behavior of the function f(x) = -x*-5x .4 + 5x +3.…

A: Given :

Q: For #4-6, use the matrices below. 1 -5 A = [ 1 -2 4 -2 B = -10 3 C = 4 3 1 4 6 -5B 5. ЗС — 5А 6. СВ…

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Q: Write a system of linear equations represented by the augmented matrix. Give your answer in standard…

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Q: Use the graph below to fill in the missing values. 5- f(x) -1 2 3 4 5 f(0) = %3D If f(x) = 0, x =…

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Q: The following matrices are elementary matrices except (3 (c) (d) (n) (b) -3

A: An elementary matrix is that matrix which can be obtained by performing a single elementary…

Q: Find the characteristic equation and the eigenvalues (and a basis for each of the corresponding…

A:

Q: The area of a rectangular wall of a barn is 77 square feet. Its length is 4 feet longer than the…

A: Area of rectangle =77let width be wlength l=w+4A=l×bA=(w+4)×w77=w2+4w

Q: 8x +2y= -4

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Q: eterminant of the m II

A:

Q: 9. Which of the following is the graph of the rational function? X +5x-12 y=ーマ-25

A: We want to check whether the given function is rational or not.

Q: Write the first four terms of the sequence whose general term is given. Separate the terms with a…

A: Solution is done in step 2

Q: Solve the Cauchy-Euler differential equation

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Q: Thor opened a savings account exactly 5 years ago. His initial deposit was $1000 and the account…

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Q: The function f(x) = x° - 7 is one-to-one. a. Find an equation for f-1, the inverse function. b.…

A: This question can be solved using the concept of inverse of function and composition of function.

Q: Let T: R° - R° be a linear transformation such that T(1, 0, 0) = (2, 4, –1), T(0, 1, 0) = (3, 1,…

A: Use the linear property of linear transformation, use it to find the value.

Q: Find the solution of the exponential equation e2-4 = 10 The exact solution is: x = The approximate…

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Q: Find the eigenvalues of the matrix and determine whether there is a sufficient number to guarantee…

A: Given the matrix is  1111.

Q: 15. Factor the polynomial. 1252 + 27 O (5x – 3)(25x² +15z – 9) О б2 + 3) (2527 -152 + 9) О(ба — 3)…

A:

Q: Find a degree 3 polynomial with real coefficients having zeros 4 and 3i and a lead coefficient of 1.…

A: Given problem:- Find a degree 3 polynomial with real coefficients having zeros 4 and 3i and a lead…

Q: A cream is sold in a 38-gram container. The average amount of cream used per application is 3 4/5…

A:

Q: The sum of the first “ n “ terms of the series is 2n + 3 + x. Find the seventh term.

A: This is a problem related to series and sum calculation. Based on the general formula of nth term…

Q: The nurse mixes 70 cc of a 60% saline solution with a 30% saline solution to produce a 36% saline…

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Q: only

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Q: When a weight is tied on the end of a string and is pulled back and released, it creates a pendulum.…

A:

Q: Given P(x) = x – 64. Write P in factored form (as a product of linear factors). P(x) = %3D Question…

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Q: 5. Let A and B be n-by-n matrices. Each of the following statements is equivalent to two of the…

A: To find the statement which is not equivalent to other three.

Q: What is the vertical shift of the following trigonometric function? f(0) = 4sin(0 + )+ 2 O 2 units…

A: Given function :  f(θ) = 4 sin (θ + π/6) + 2

Q: Determine if the graph of the quadratic equation opens up or down and is wider or narrower than the…

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Q: To solve the nonlinear inequality x+1s0, we first observe that the numbers | (smaller value) and…

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Q: IND THE MISSING SIDELE 10 CM P- 96 AZ 766 20 CM 16 CM 10 CM 26

A:

Q: In the video, Ally described her problem solving process as taking 6 x 10 equals 60 and then 4 x6…

A: Given that Ally described her problem solving process as taking 6×10 equals 60 and then 4×6 equals…

Q: 15. Simplify the complex fraction. n + 112 + 24 n+ 1

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

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Q: The Ole Paint Shop sold 38 paintbrushes, one kind at $6.55 each and another at $9.10 each. In all,…

A: let the number of paint brushes of one kind be xlet thr number of paint brushes of other kind be…

Q: 96 %23 C. 5.8 2.7 A. 6.2 Show Calculator 4 of 5 Practice du %24 V

A: This is a problem related to triangle calculation. Based on the general formula and concept we will…

Q: Consider the matrix 2 2 A = 1 3 -1 -1 -2

A: Matrix power is obtained by multiplication matrix by itself 'n' times. For  A3 we have to multiply…

Q: Let x cm be the length of a rectangular box. Then the dimensions of the box are shown as below. 9-x…

A: Here, from the given figure, the dimension of the rectangular box is: l=2x,b=2x,h=9-x