Apenguin leaps out of the water while swimming. this action is called porpoising. the height y (in feet) of a porpoising penguin can be modeled by y = −16x2 + 4.8x, where x is the time (in seconds) since the penguin leaped out of the water. find the roots of the equation when y = 0. explain what the roots mean in this situation.

The roots of the equation when y = 0 are 0 and 0.3

In this situation the root means the time (in seconds) since the penguin is inside the water.

Step-by-step explanation:

Given: The height y (in feet) of a porpoising penguin can be modeled by

, where x is the time (in seconds) since the penguin leaped out of the water.

When y=0, then

Taking 16x as common from both terms as gcf, we get

The roots of the equation when y = 0 are 0 and 0.3

In this situation the root means the time (in seconds) since the penguin is inside the water.

1

x = 1

step-by-step explanation:

0 ÷ x = 0

0 ÷ 1 = 0