5. Determine the conditions for all equations/cases (not examples) that is needed if: a) f(x)g(x) = g(x) b) f(g(x)) = 1 c) f(g(x)): = x

Q: Find the unknown angle measure. X = X° 64° O Figure is not to scale. 30°

A: The sum of the interior angles of a triangle is supplementary.

Q: Find a formula in terms of k for the entries of Ak, where A is the diagonalizable matrix below A =…

A:

Q: If 9-* = 1, what does 81% equal? 04

A: Given

Q: Find the standard deviation for the group of data items. 7, 7, 7, 7, 9, 11 The standard deviation…

A:

Q: Solve the problem. 36) Suppose $14,000 is invested with 4% interest for 5 yr under the following…

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Q: Use the FOIL method to multiply the binomials (x-6)(x²-4) (x-6)x²-4)-(Simplify your answer.)

A:

Q: A circular backyard pool has a diameter of 20 feet and is 3 feet deep. One cubic foot of water has a…

A: A circular backyard pool has a diameter of 20 feet and is 3 feet deep. One cubic foot of water has a…

Q: Penny and Nicholas each collected baseball cards. Nicholas wanted his collection to be larger than…

A: The objective of this question is to understand the relationship between the number of baseball…

Q: Solve the equations and inequalities: (3x+7)(x-2)=0 (3x+7)(x-2)0 (3x+7)(x-2)≥0

A: Consider the equations and inequalities…

Q: The force needed to keep a car from skidding on a curve varies inversely as the radius of the curve…

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Q: Solve the equation: 3* = 2*. Give the exact answer in the form of fraction if necessary. I X = i|

A:

Q: If A is a 5x5 matrix with characteristic polynomial 15+1214+321³, find the distinct eigenvalues of A…

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Q: O Systems of Equations and Matrices Word problem involving multipli Chau, Kala, and Lena each sell a…

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Q: pls help ASAP on all pls I highly request

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Q: Answer the questions based on the graph: Domain: Range: -2 Decreasing: ( m Increasing: 2 Constant:…

A: As we can see from the graph,The function is not defined at x=-1 and x=1So the domain is

Q: Find the eigenvalues of A, given that A = and its eigenvectors are The eigenvalues are 5 00 0 15 4…

A: The given matrix is The given eigen vectors are

Q: Find the determinant of the matrix. [34] 64

A: Consider the matrix Determinant of   matrix

Q: e) 7* = 84 Exact answer: Approximate:

A: To solve the following equation.

Q: Solve the system of linear equations (a) Suppose the coefficient matrix is A = Find A matrices. []-…

A:

Q: 2 3 [+0 4 2 b = -2 Select true or false for each statement. Let A = and c = [12] 1. The vector c is…

A: The objective of the question is to determine whether the given vectors b and c are in the kernel…

Q: Find all zeros of the function and write the polynomial as a product of linear factors. f(x) = x4 +…

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Q: 9) let f(x) = (x +2)² - 12. a) Sketch a "good enough graph" of f. b) Determine the number of…

A: (a) f(x)=(x+2)2−12

Q: Use elimination to solve each system. = 2 3x - 12y = 3 15 2x-8y

A: We are given the system of equations and we need to solve by the elimination method.

Q: Suppose that the number of cars manufactured at an automobile plant varies jointly as the number of…

A: Let number of workers be wLet the number of cars be cLet the time worked be tIf c is jointly varying…

Q: A rectangle has a length of 175 meters and a width of 112 meters. Find its perimeter in exact and…

A:

Q: Find the 51st term of the following arithmetic sequence. 7, 13, 19, 25, 8 08

A: SolutionThe given arithmetic series 7, 13, 19, 25,........a=7 ,b=13-7=6

Q: In is the only invertible idempotent. ) U is self-inverse if and only if U = I - 2P for some…

A: An -matrix is called an idempotent if . A matrix is called self-inverse if .Show the following…

Q: ould you help explain how to solve these function inputs, I have trouble understanding fractions and…

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Q: Factor the trinomial completely 2x²-57²-42 Select the correct choice below and, if necessary, fill…

A: To factor the trinomial completely.

Q: A number cube with faces labeled 1 to 6 is rolled once. The number rolled will be recorded as the…

A:

Q: 20) Initial population = 30,599, increasing at a rate of 2.8% per year A) P(t) = 30,599-0.028t C)…

A: since you have posted multiple questions in this question which are not interlinked so i have solved…

Q: roject executives from your organization is considering the selection of a project for their…

A: we need to find out the amount that should be invested.

Q: Find the volume of the figure. The volume of the figure is (Round to the nearest whole number as…

A:

Q: Find all distinct eigenvalues of A. Then find the basic eigenvectors of A corresponding to each…

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Q: Jevonte drove 252 miles in 7 hours. Fill out a table of equivalent ratios and plot the points on the…

A: Jevonte drove 252 miles in 7 hours

Q: Use the binomial formula to find the coefficient of the y²¹ s² term in the expansion of (y+2s) ²³.…

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Q: The function y = f(x) is graphed below. Plot a line segment connecting the points on f where x = 2…

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Q: Use the definition of a one-to-one function to determine if the function is one-to-one. 27) f(x) =…

A: The function is one-to-one only if

Q: 13 use elimination to solve each system. 2x + 3y = 15 8x+12y= 40

A:

Q: Use the Fundamental Counting Principle to solve. An ice cream store sells 3 drinks, in 4 sizes, and…

A: Given information regarding the question an ice cream store sells 3 drinks, in 4 sizes and 4 flavors…

Q: Prove the given statement by using mathematical induction. 1 1 1 n ++++)-¹-(-)* = =1- 4 n

A: use mathematical induction

Q: Let A = 1 X x3 x²x³ 1 X 2 x² x² x³ 1 X 1 Find such that det (A) = 0.

A: We have to find the value of x such that the det(A)= 0.

Q: 5 use use substitution to solve each system? 3x - 2y = 4 2x + y =-1

A:

Q: If (a-b)/c = (c-b)/a = 0.1, what are a, b, and c?

A: (a-b)/c = (c-b)/a = 0.1

Q: Find an equation of the ellipse that has center (5, 4), a major axis of length 6, and endpoint of…

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Q: The exponential model A=865.1e0.026 describes the population, A, of a country in millions, t years…

A: Given that the exponential model  describes of population,A,of a country in millions t years after

Q: Find the domain of the logarithmic function in interval notation:

A: Find the domain of the logarithmic function in interval notation:

Q: Consider the following system of linear equations. 2x+16y=-4 6x+52y=-12 Solve the system by…

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Q: Answer the questions based on the graph: (-6, 1). -8-6-4-22 8 Decreasing: ( 4 2 Constant: Domain…

A: As we can see from the graph,The function is defined for all real numbers So the domain is .As we…

Q: Show and Sim 218 Iim 276 2²+1 2²+3 2 2-6 2 20 -1

A: