contestada

A shark jumps out of the water. The quadratic function f(x) = -16x^2 + 18x models the sharks height in feet above the water after x seconds. How long is the shark out of water

Respuesta :

oladayoademosu

The shark is out of the water for 1.125 s.

Quadratic function

Since the quadratic function f(x) = -16x² + 18x models the sharks height in feet above the water after x seconds. The shark is out of the water when f(x) = 0. That is the x-intercepts of the function.

Time shark is out of water

So, f(x) = 0

⇒  -16x² + 18x

Factorizing, we have

-2x(8x - 9) = 0

So, -2x = 0 or 8x - 9 = 0

⇒ x = 0 or 8x = 9

⇒ x = 0 or x = 9/8 s

⇒ x = 0 or x = 1.125 s

Since x ≠ 0, x = 1.125 s

So, the shark is out of the water for 1.125 s.

Learn more about quadratic functions here:

https://brainly.com/question/25841119

Otras preguntas