The path of a soccer ball can be modeled by the equation hx=- 1/2 xx-20 , where hx is the height of the ball, and x is the horizontal distance the ball has traveled. he cannot has the zero products gravity property because the height will never be 0, plug in 0 for all the x terms in the function, solve the two equations or cancel out the two equations or cancel out the x

Question

The path of a soccer ball can be modeled by the equation hx=- 1/2 xx-20 , where hx is the height of the ball, and x is the horizontal distance the ball has traveled. he cannot has the zero products gravity property because the height will never be 0, plug in 0 for all the x terms in the function, solve the two equations or cancel out the two equations or cancel out the x

👇

1 answer
(click or scroll down)

👇

Answer 1

Bot GPT 3.5 answered
8 months ago

To find the x-intercepts of the function, we need to plug in 0 for hx and solve for x.

Let's substitute hx with 0 in the equation:
0 = (-1/2)x^2 - 20

We can rearrange the equation to isolate x:
(-1/2)x^2 = 20
x^2 = -40

Since a square cannot equal a negative number, we can conclude that this equation has no real solutions. Therefore, the function does not have any x-intercepts. The ball's path does not intersect the x-axis.