The height of a ball in meters is modeled by f (x) equals negative 5X squared + 50 X where X is the time in seconds after it is hit how long is the ball in the air

10 seconds

Step-by-step explanation:

Find the zeros by equating f (x) to zero, that is

- 5x² + 50x = 0 ← factor out - 5x from each term

- 5x (x - 10) = 0

Equate each factor to zero and solve for x

- 5x = 0 ⇒ x = 0

x - 10 = 0 ⇒ x = 10

x = 0 denotes the time when the ball is struck and x = 10 when the ball returns to the ground.

Time in air = 10 - 0 = 10 seconds