Natalie found a tennis ball outside a tennis court. She picked up the ball and threw it over the 12-foot fence into the court. The height of the ball, h, and time t seconds is given by the equations h(t) = -16t^2 + 18t +5. Will she make it iver the fence?

Natalie cannot make it over the fence.

Step-by-step explanation:

After reading the statement, we must demostrate if the following inequation is possible, that is:

After some algebraic handling we find this equivalent expression:

(1)

The polynomial is factorized by the Quadratic Formula:

Since all roots are complex, we conclude that Natalie cannot make it over the fence.