Asaltyskid
Answered

40 POINTS Please someone help me with these 3 math questions got a deadline to meet


please give right answers no false

  1. Evaluate the function f(x) = 4 ∙ 7^x for x = -1 and x = 2. Show your work

  2. Find the roots of the quadratic equation x^2 - 8x = 9 by completing the square. Show your work

  3. Use the discriminant to find the number of real solutions of the equation 3x^2 - 5x + 4 = 0 Show your work.

A water balloon is tossed into the air with an upward velocity of 25ft/s. Its height H(t) in ft after t seconds is given by the function h(t) = - 16t^2 + 25t + 3. Show your work

  1. after how many seconds will the balloon hit the ground? (hint: Use the quadratic formula)

20 What will the height be at t = 1 second

Verified Answer :

Edufirst
  1. f(x) = 4 . 7^x

    for x = -1

    f(-1) = 4 . (7)^-1 = 4/7

    for x = 2

    f(2) = 4 . (7)^2 = 4 . 49 = 196

    17. x^2 - 8x = 9

    x^2 -8x + 16 = 9 +16
    (x - 4)^2 = 25

    (x - 4) = +/-5
    x = 5 + 4 = 9 and x = -5 + 4 = -1

    18. 3x^2 -5x + 4 = 0

    Discriminant √(b^2 - 4ac) = √[(-5)^2 - 4(3)(4)] = √[25 - 48] = √(-23)

    Given that √(-23) is an imaginary number, the equation does not have real solutions.

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