Aball is thrown in the air from a ledge. its height in feet is represented by f(x) = –16(x2 – 5x – 6), where x is the number of seconds since the ball has been thrown. the height of the ball is 0 feet when it hits the ground. how many seconds does it take the ball to reach the ground?

The ball takes 6 seconds to reach the ground.

Explanation

Height of the ball after seconds is represented by....

The height of the ball is 0 feet when it hits the ground. So, for finding the number of second the ball takes to reach the ground, we will just plug into the above equation and then solve for .

Thus...

Using zero-product property....

and

(Negative value is ignored as time can't be negative)

So, the ball takes 6 seconds to reach the ground.

six seconds (apex) :)