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WILL MARK BRAINLIEST!!!
A road is made in such a way that the center of the road is higher off the ground than the sides of the road, in order to allow rainwater to drain. A cross-section of the road can be represented on a graph using the function f(x) = (x – 16)(x + 16), where x represents the distance from the center of the road, in feet. Rounded to the nearest tenth, what is the maximum height of the road, in feet?

A. 0.1
B. 0.8
C. 1.3
D. 1.6

Respuesta :

Answer:

I think the best answer will be is C. 1.3 Good Luck!

Lanuel

Based on the calculations, the maximum height of this road is equal to: C. 1.3 feet.

How to calculate the maximum height of the road?

In order to determine the maximum height of the road, we would simplify the given function into a quadratic equation as follows:

f(x) = -1/200(x – 16)(x + 16)

f(x) = -1/200(x² + 16x - 16x - 256)

f(x) = -1/200(x² - 256)

f(x) = -x²/200 + 256/200

f(x) = -x²/200 + 1.28

Deductively, the values for this quadratic equation are:

  • a = -1/200
  • b = 0
  • c = 1.28

Also, the abscissa of the vertex of the parabola formed from the graph of this quadratic equation is given by:

Abscissa = -b/2a

Abscissa = -0/2(-1/200)

Abscissa = 0.

Therefore, the maximum height of the road is when x = 0

f(x) = -x²/200 + 1.28

f(0) = -0²/200 + 1.28

f(0) = 1.28 ≈ 1.3 feet.

Read more on maximum height here: https://brainly.com/question/12446886

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