Antoine stands on a balcony and throws a ball to his dog, who is at ground level. the ball's height (in meters above the ground), x seconds after antoine threw it, is modeled by: h(x)=-2x^2+4x+16. how many seconds after being thrown will the ball hit the ground?

Step-by-step explanation:

H(x)=0

-2x^2 +4x+16=0

X^2 - 2x - 8 = 0

(X + 2) (x-4) = 0

X + 2 = 0 or x -4 = 0

X= -2 or x=4

Since -2 doesn’t make sense use 4

The ball will hit ground in 4 seconds

4 seconds

Step-by-step explanation:

Given : The ball's height (in meters above the ground), x seconds after Antoine threw it, is modeled by:

To Find: How many seconds after being thrown will the ball hit the ground?

Solution:

We are supposed to find after how much time the ball hits the ground.

So, we are required to substitute h = 0 because when ball hits the ground the height will be 0

So,

Since time cannot be negative .So, neglect -2

Hence A ball will take 4 seconds to hit the ground after being thrown.

it is probably the graph on the bottom right.