Find f(g(x)) and g(f(x)). Then determine whether g and f are inverse functions. f(x) = 10x - 7 g(x) = 0.1x - 0.7

Q: . Determine the equation of the following. a) The parabola with vertex (-6, -2) and passes through…

A: We are asked to find the equation of the parabola.

Q: Matrix A is factored in the form PDP1. Use the Diagonalization Theorem to find the eigenvalues of A…

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Q: Find the indicated Matrix, if possible. Show and explain your work. |ЗА +В

A: A=4-472B=-243-73A+B = 34-472+-243-7

Q: Consider a single roll of a die. Define sets (events): A = {2 ≤ outcome ≤ 5}, B = {outcome ≥ 3}, and…

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Q: What is the purchase price on a car that has a $264 monthly payment for 5 years, financed at 8% per…

A: The purchase of a car that has a $264 monthly payment for 5 years, financed at 8% per year,…

Q: Determine whether the set S spans R2. If the set does not span R2, then give a geometric description…

A: Dimension of a set is the number of linearly independent vectors in that set. Dimension of a…

Q: Let f(x) = x - 2. Find (f o f)(x) and its domain. (fo f)(x) = (Simplify your answer.)

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Q: An investment of $9,550 is made in an account compounded quarterly at 8%. How much will the…

A: Topic = Algebra

Q: Solve each equation. 7p+2 - 343

A: As we know from the exponent rule; If am=an then m=n   Given: 7p+2=343

Q: A sum of $6,000 is invested at an interest rate of 6% per year. Find the time required for the money…

A: As per the guidelines we can answer only first three sub-parts.  If you want to get the answers of…

Q: Find a basis for the eigenspace corresponding to the eigenvalue. -6 A = =D9 - 4

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Q: concert, $1600 in tickets were sold. Adult tickets were $9 each and children’s tickets were $4 each.…

A: Given query is to make the system of equations and solve them to find the solution.

Q: 9. x- y=2 x =-2 {) व

A: The given equations,x-y=2x=-2

Q: A swimming pool has a volume of 27,500 gal. Use the table of conversion facts to find out how many…

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Q: Find the greatest common divisor of each of these pairs of numbers by the method of the intersection…

A: In this question we have to find the Greatest Common Divisor by the method of intersection of the…

Q: The compound interest formulas are A = P 1+- r and A= Pe" A bank features a savings account that has…

A: Topic = Algebra

Q: We want to determine whether f(x).= 3x+ 6 and g(x) = x- 2 are inverse functions. %3D Find f(g(x).

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Q: 14. x² + 4x + 4 = 10

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Q: Let f(x) = x - 1 and g(x) = x² - x. Find and simplify the expression. (f + g)(- 2) (f + g)( – 2) = |…

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Q: a) Does B - A =C – A imply that B = C? Justify b) Next, does A – B = A – C imply B = C? Justify c)…

A: A-B=x∈A and x∉B = A∩Bc

Q: x+2 Let f(x) = 3x - 2, g(x) = x + 6, h(x) = 3 Find (g oho f)(4).

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Q: A vector field is specified as G = 24xyax + 12(x² + 2)ay + 18z²az. Given two points, P(1, 2, - 1)…

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Q: Find the dimensions of a large 37 square foot rectangular window that has a height which is 3ft…

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Q: 4 Ssin*(x)cos¯(x)dx

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Q: WITHOUT a calculator, identify VERTEX form, STANDARD form, AND FACTORED FORM. Then use the three…

A: Given query is to find indicated points for quadratic.

Q: Find h(x) and g(x) such that f(x) = (h o g)(x). f(x) = /8x +2 Suppose that g(x) = 8x + 2. h(x) =D

A: We can solve this as follows:

Q: Solve the quadratic equation ~make sure quadratic equation is in standard form~ A) Solve the…

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Q: A regetable garden Formed a pentagonal shaper. The intertor angles are 90,90°, 100" and 120"…

A: Measure of the other angle

Q: The following table gives the total number of U.S adults with diabetes for selected years from 2010…

A: To Find: a. Find the logistic function that models these data. b. Use the model to predict the…

Q: Construct a polynomial function with the stated properties. Reduce all fractions to lowest terms.…

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Q: IT 1. angle btun u and v 18 T , and llull>I Ilvil=2. them the cosine of the angle betveen u-v and…

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Q: Solve (y+8)-8=0 , where y is a real number.

A: To solve (y+8)-8=0 where y is a real number.

Q: 3) It takes Trevon ten hours to clean an attic. Cody can clean the same attic in seven hours. Find…

A: In this question we have to find the time taken by them when the clean attic together.

Q: 5. The race for the governor of Vermont, suppose the state vote was as follows: Marilyn Christian…

A: yes here majority win from Howard Dean is winner answer is D Howard Dean win because he got158625…

Q: 3. Solve 2b2 – 12 = -5b

A: Solve the given equation

Q: Determine the equation of parabola with vertex (4,-5) and goes through the point (-1,-3).

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Q: Examples 2-4 Solve each equation by completing the square. 26. x2 – 4x + 12 = 0 27. x2 + 2r – 12 = 0…

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Q: The predicted flight path of a toy rocket is defined by the equation h = -2(d – 1) (d - 11), where d…

A: This question can be solved using the concept of graphing of quadratic function.

Q: Given that f(x) = x? 7x and g(x) = x + 13, find (a) ƒ + g = (b) ƒ – g = (c) fg = f (d) -

A: a) f+g=f(x)+g(x)f+g=x2-7x+x+13f+g=x2-6x+13

Q: 22. x2 + 32x + 256 = 1 81

A: We can solve the given problem as follows:

Q: Let f = {(- 2,1),(1, - 1)} and g = {(-2, - 4),(3,0),(5,6)}. Find f+g and its domain.

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Q: Find the number of zeros of f(z) = z3 + z* + 2z2 + 1 in the first quadrant. %3D

A: Given that,     fz=z13+z4+2z2+1

Q: Evaluate the following: log, a Find y in terms of x for In(y+1)=2– 3 In.x

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Q: QUESTION 1 If $7,000 is borrowed for 6 years at an annual simple interest rate of 8%, find the…

A: Principal amount $7000 Rate = 8% simple interest  Time = 6 years

Q: -4 1 -5 The matrix A = 8 0 3 1 2 has an eigenvalue A = -2. -2 Find an eigenvector for this…

A: According to our guideline we can only answer first question and rest can be reposted.

Q: find a formula for the function g(x) that represents the function f(x) shifted 1 unit to the right,…

A: Given problem:- find a formula for the function g(x) that represents the function f(x) shifted 1…

Q: 2. Write a quadratic equation which has -2/3 and 2/3 as solutions.

A: Roots are:23 and -23Equation:(x-23)(x+23) =0x2 -23 x + 23 x -12 =0x2 - 12 =0Quadratic equation…

Q: Determine whether each of the following statements is true or false. You do NOT need o explain. The…

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Q: Determine if the points X(-6,-4), Y(2,-2) and Z(0,5) form the vertices of a right triangle.

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Q: L> A Moving to another question will save this response. Question 2 -12 3 -12 -12 Evaluate 3 -12 3 3…

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