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A ball is rolled down a ramp. The height, f(x), in meters, of the ball x seconds after it is released is modeled by the function f(x) = x²- 10x + 25 for all values of x from 0 to 5.

Which statement about the ball is true?

A. the maximum height of the ball is 5 meters

B. the height of the ball increases from 0 to 5 meters above the ground.

C. the ball has traveled 5 meters when it reaches the bottom of the ramp.

D. the ball has been traveling for 5 seconds when it reaches the bottom of the ramp

Respuesta :

wegnerkolmp2741o

Answer:

D. the ball has been traveling for 5 seconds when it reaches the bottom of the ramp

Step-by-step explanation:

f(x) = x²- 10x + 25

We can factor this.

What 2 numbers multiply to 25 and add to -10

-5 *-5 = 25

-5+-5 = -10

f(x) =(x-5) (x-5)

Using the zero product property, we know that it will cross the axis at x=5

At 5 seconds f(x) =0.  This means the height is zero at 5 seconds

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