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    Collen Von
    Collen VonLv2
    15 Apr 2023
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    Related questions

    1. Let f(x)=x^2-9, g(x)=2x, and h(x)=x-3. Find the solution for thefollowing function:n(f/gh)(-1)
    2. Solve the equation: -5x^2+5=6x^3-6x
    3. Let f(x)=x^2-9, g(x)=2x. Find (f of g)(-2)
    4. Use synthetic division to find the quotient and the remainder ofthe following: (z^5+3z^4-15z^3+20z^2+14z+13)(z+6)
    5. Use synthetic division to determine whether -3 is a solution ofthe following polynomial equation: x^5+2x^4-4x^3-6x^2-5x+12=0

    Q18. A size 6 dress in Country C is size 52 in Country D. A function that converts dress sizes in Country C to those in Country D is f(x) = 2(x + 20). Find a formula for the inverse of the function described.
    a. f -1(x) = (x - 20)/2
    b. f -1(x) = x - 20
    c. f -1(x) = (x/2) - 20
    d. f -1(x) = (x/2) + 20

    Q19. If f(x) = 4x and g(x) = 12, find the point of intersection of the graphs of f and g by solving f(x) = g(x). Give an exact answer.
    a. (log 4 12, 12)
    b. (log 4 12, 4)
    c. (log 4 12, 0)
    d. (12, 12)

    Q20. Find functions f and g so that f ∘ g = H(x) = (5 - 2x3)2.
    a. f(x) = 5 - 2x3 ; g(x) = x2
    b. f(x) = (5 - 2x)3 ; g(x) = x2
    c. f(x) = x2 ; g(x) = 5 - 2x3
    d. f(x) = x3 ; g(x) = (5 - 2x)2

    Q29. Solve the system of equations using Cramer's Rule if it is applicable.


    a. x = 9, y = 2, z = 5; (9, 2, 5)
    b. x = 8, y = 4, z = 5; (8, 4, 5)
    c. x = 4, y = 5, z = 4; (4, 5, 4)
    d. x = 8, y = -4, z = -5; (8, -4, -5)

    Q30. Solve the system of equations using matrices (row operations). If the system has no solution, say that it is inconsistent.


    a. x = 2, y = 3, z = -7; (2, 3, -7)
    b. x = 1, y = 3, z = -4; (1, 3, -4)
    c. x = 5, y = 13/2, z = -3; (5, 13/2, -3)
    d. x = 1, y = -3, z = -16; (1, -3, -16)

    Q33. Write the partial fraction decomposition of the rational expression (4x3 + 4x2)/(x2 + 5)2.
    a. (4x - 4)/(x2 + 5) + (-20x + 20)/(x2 + 5)2
    b. (4x + 4)/(x2 + 5) + (-20x - 20)/(x2 + 5)2
    c. (4x + 4)/(x2 + 5) + (20x - 20)/(x2 + 5)2
    d. (4x + 4)/(x2 + 5) + (20x + 20)/(x2 + 5)2

    Q34. Solve the linear programming problem. Minimize z = 11x + 6y + 7 subject to: x = 0, y = 0, x + y = 1.
    a. minimum: 7
    b. minimum: 18
    c. minimum: 24
    d. minimum: 13

    Q35. Solve the system of equations by elimination.


    a. x = 10, y = 0; (10, 0)
    b. x = 10, y = 10; (10, 10)
    c. x = 0, y = 10; (0, 10)
    d. x = 0, y = 0; (0, 0)

    Q36. Perform the row operations on the given augmented matrix.


    a.
    b.
    c.
    d.

    Q37. Solve the system of equations using Cramer's Rule if it is applicable.


    a. x = -4, y = 3; (-4, 3)
    b. x = -3, y = -4; (-3, -4)
    c. x = 4, y = 3; (4, 3)
    d. x = 3, y = 4; (3, 4)

    Q38. Write the partial fraction decomposition of the rational expression x/(x2 - 9x + 20).
    a. -4/(x - 4) + 5/(x - 5)
    b. -5/(x - 4) + 4/(x - 5)
    c. 4/(x - 4) + -5/(x - 5)
    d. -4/(x - 4) + -5/(x - 5)

    Q39. Solve the system of equations.


    a. x = -4, y = 4, z = -3; (-4, 4, -3)
    b. x = -3, y = 4, z = -4; (-3, 4, -4)
    c. x = -4, y = -3, z = 4; (-4, -3, 4)
    d. inconsistent

    Q40. Find the value of the determinant.


    a. 224
    b. 24
    c. -72
    d. 72

    Show transcribed image text

    Q2

    Modle answer but different numbers


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