Question

If you answer this. i will forever love you. foreverrrrrrr

Answer 1

Explanation:

The Mean Value Theorem says that for continuous and differentiable function f(x) on the interval ( a, b ) there is number c ∈ ( a, b ) that

f'(c) =
`(f(b)-f(a))/(b-a)` ....... (1)

~~~~~~~~~~~~~~~~

f(5) = 44

f(0) = - 1

5 - 0 = 5

f'(x) = 2x + 4 ⇒ f'(c) = 2c + 4

2c + 4 =
`(44+1)/(5)`

2c + 4 = 9 ⇒ c =
`(5)/(2)` (D).