A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the time that the rocket will hit the ground, to the nearest 100th of second. Y=-16x^2+157x+104

The rocket will hit the ground approximately 10.77 seconds after launch.

Step-by-step explanation:

Let the height of the rocket as a function of time be represented by . According to the statement, we must solve the following equation:

(1)

The roots of the polynomial are calculated by the Quadratic Formula:

and

Since time is a positive variable, the only solution that is physically reasonable is:

The rocket will hit the ground approximately 10.77 seconds after launch.

walter needs to make at least 5 more cookies but no more than 40. 5 ≥ x ≥ 40;

step-by-step explanation:

walter has to make a minimum of 20 cookies. he already has 15 cookies made, so he must make 5 more to meet the minimum.

the maximum amount of cookies he can make is 55. he already has 15, so he has to make no more than 40 more cookies to meet the maximum.