Question

The path of a soccer ball can be modeled by the equation h(x)=−12x(x−20)%0D%0Aℎ%0D%0A(%0D%0A%0D%0A)%0D%0A=%0D%0A−%0D%0A1%0D%0A2%0D%0A%0D%0A(%0D%0A%0D%0A−%0D%0A20%0D%0A)%0D%0A , where h(x)%0D%0Aℎ%0D%0A(%0D%0A%0D%0A)%0D%0A is the height reached by the ball, in feet, and x is the horizontal distance the ball has traveled, in feet. What is the horizontal distance the ball will have traveled when it hits the ground? Use a graph or table if necessary.(1 point)%0D%0AThe ball will have traveled a horizontal distance of feet when it hits the ground.

Answer 1

To find the horizontal distance the ball will have traveled when it hits the ground, we need to find the value of x when h(x) = 0.

Starting with the equation h(x) = -12x(x-20), we set h(x) = 0:

0 = -12x(x-20)

0 = -12x^2 + 240x

0 = 12x(20-x)

This equation is equal to 0 when x = 0 or x = 20.

Therefore, the ball will have traveled a horizontal distance of 20 feet when it hits the ground.