and g(x) = X-8 - 1 find the following composite functions and state the domain of each. For f(x) = (а) fog (b) gof (c) fof (d) gog

Q: Assume that a # b and the following system of equations: x - 2y =a x - 2y =b - Explain why the…

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Q: Let R = {(x, y) E R² | ln y < <1n1< y<e}

A: IntroductionAs per the question we are given a surface S defined by the vector function R(u,v) And…

Q: roblem 12. Calculate the volume under the elliptic parabolold z 4z + 8y and over the rectangle R…

A: Find volume.

Q: Which of the following describes the end behavior of the graph of the function f (æ) = –3x4? As x →…

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Q: Problem 3 Let R be any ring with ideals I and J such that J CI Let 1/] = {a +J| a e 1} Prove…

A: NOTE:- AS POSTED MULTIPLE PART OF THE QUESTION, I WILL ANSWER ONLY FIRST THREE PART AS PER BARTLEBY…

Q: Consider the line -x+8y36. Find the equation of the line that is perpendicular to this line and…

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Q: Solve quadratic equations using the quadratic formula.  -2y2+8y+1=0

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Q: What is the kind of tringle that the points A(-2,-7), B(1,6) and C(9,6) from with repsect to its…

A: Given :  A(-2,-7) , B(1,6) and C(9,6)  are coordinates of triangle△ABC    To Find : What type of…

Q: P: loday is Montay What is ap? wnas ir (7x^2-3メソ)-(メ2+5)eaual to? what Is X-Y<32 in words?

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Q: Rationalize the denomiaton and Sim Plify 39

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Q: Given f(x)= x² +3x – 1 and g(x)= 2x +1; what is (fog)(x ||

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Q: Commutativity: AUB = B U A, also, A n B = B nA Associativity: A U (B U C) = (A U B) U C, also, A n…

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Q: Consider the polynomial function f (x) = –5x® + x³ –- 2x + 1. Which of the following describes the…

A: given: f(x)=-5x6+x3-2x+1

Q: A ballpoint pen and a notebook costs 100 pesos. The notebook cost 60 more than a ballpoint pen. What…

A: We can solve this as follows:

Q: (c) A student was asked to rearrange the formula d 10a - 2c(6 – d) to make d the subject (assuming…

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Q: What condition, if any, must a, b, c, and d satisfy for the linear system to be consistent? X1 + 2x2…

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Q: Determine whether the sets S, and S, span the same subspace of R³. S1 = {(0, 0, 1), (0, 1, 1), (9,…

A: The given sets,S1=0,0,1, 0,1,1, 9,1,1S2=1,1,1,1,1,5,5,1,1

Q: 38 > -5x + 3 ≥ 18

A: Solving the inequality.

Q: Find a basis for the nullspace of the matrix. (If there is no basis, enter NONE in any single cell.)…

A: The given matrix,  A=7224-3-1-1-26212-12-4-2-3

Q: Foctor Completely. ithe pynunmialis nat fuclorable, write prime. Lon -lln-2

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Q: 6x a) 3x+3 x² +3x+2 5x x +3x+2 b) x +4x+3 x² +x-6 x² -4

A: a)6x23x+3÷5xx2+3x+2b)x2+3x+2x2+4x+3÷x2-4x2+x-6c)3x2-6xx2-7x+10×x-512x2

Q: Solve the following logarithmic equation: log2 (x – 3) + log2 x – log2 (x + 2) = 2. - -

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Q: Suppose that the function f is defined, for all real numbers, as follows. x-2 if x-2 Graph the…

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Q: 3 33. 3 .2 3.

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Q: Determine whether the set of vectors in P2 is linearly independent or linearly dependent. S = {x?, 2…

A: To find whether the given set of vectors are linearly dependent or notS = {x2, 2+x2}

Q: S = {(2, –1, 3), (5, 0, 4)} (a) z = (5, -5, 11) %3D S, + 52 Z = 59 (b) V = | 18, 4 4 s. 22 V = (c) w…

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Q: Write the row vectors and the column vectors of the matrix. -2 0 -3 (a) the row vectors (b) the…

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Q: Solve the quadratic equations using the quadraticc formula. 7x2+3=-8x

A: given, 7x2 + 3 = -8x

Q: In this problem, you can assume the following fact about least common multiples (lcm): FACT: If h, k…

A: here we use basic group theory

Q: A tank initially contains 400 gal of fresh water. At time t= 0, a brine solution with a…

A: As per Bartleby answering guidelines if a questions has multiple subparts then an expert is expected…

Q: * 3 = 234, 5

A: Topic = Algebra 23*3=2345

Q: Verify that (u,,u2} is an orthogonal set, and then find the orthogonal projection of y onto Span…

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Q: 11 13 33 A c.) Find area of the parallelogram B

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Q: Given the original function f and the transformed function g below, find the values of @ and b such…

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Q: what would the graphed solution? these are different questions slope=0.5 y-intercept =3.5 slope=5…

A: We need to find graph.

Q: Consider the polynomial function f (x) = -2x7 + 2x³ – 3x³ + 5. Which of the following describes the…

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Q: fourth root of 81 / fourth root of 4x^6

A: Let's find.

Q: Find a basis for the subspace of R³ spanned by S. S = {(1, 4, 7), (-1, 5, 7), (2, 5, 1)}

A: The matrix form the vectors is: A=1-12455771

Q: Find the solution set of each equation/inequality. For inequalities, write your answer using…

A: We have to solve the given inequality.

Q: 8. An English teacher can grade all her students' essays in 60 minutes. The graph shows the…

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Q: Interest is compounded annually. Find the amount in the account after the given time.​ (Hint:…

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Q: What is Hhe domaind the reratin {(1,l )4,22,4-2), (9,3),(a-23? A-2,3,4,いBこ24,4.8, what id A nB? what…

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Q: 23. a) Use the factor theorem to determine the factors of the function f(x) = 10x' +41x +x- 12. b)…

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Q: How is w = (-3, –13, 7) e R³ a linear combination of (0, -2, 2) and (1, 3, –1)? U = | V = O A. w =…

A: Given query is to find the correct option for linear combination.

Q: The first payment of a perpetuity- immediate is 62. Subsequent payments decrease by 1 per year until…

A: 1st option (31). Is correct.

Q: HAND CALCULATION: When writing 10 simultaneous equations with 7 unknowns in the Ax=b matrix form,…

A: When there are 7 unknowns , then all the unknowns will be present in x matrix So, no .of unknowns =…

Q: 1.1 1 2 222 1 210 Find the sum of 2.

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Q: The function h defined by h (t) = (5t + 5) (1 – t) models the height, in meters, of an object t…

A: Follow the procedure given below.

Q: 40 -8 -6 -4 -2 -2 (x – h)? (y – k)² 1. | Identify a and b for the ellipse with equation + a2 b = k =…

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Q: 2x, – 3x, + x3 = 2, 2x, – 3x, + x3 = 6, %3D X1 + X2 - X3 = -1, -X, + x, - 3x3 = 0; X1 + x, - X3 = 4,…

A: Note :As per our guidelines we are supposed to answer only one question if there are multiple…