Final answer:
To find the time that the rocket will hit the ground, we need to solve the quadratic equation -16x² + 235x + 129 = 0.
Step-by-step explanation:
To find the time that the rocket will hit the ground, we need to find the value of x when y is equal to zero in the given equation y = -16x² + 235x + 129.
Setting y to zero, we get 0 = -16x² + 235x + 129. This is a quadratic equation that we can solve using the quadratic formula: x = (-b ± √(b² - 4ac)) / 2a
Plugging in the values from the equation: a = -16, b = 235, and c = 129, we can calculate the values for x. The positive value of x will give us the time when the rocket hits the ground.