Answer:
3 seconds.
Step-by-step explanation:
Since we are figuring out when the water balloon will hit the ground, y will need to be equal to 0.
0 = - 16t² - 16t + 96
Now we simply factor the trinomial to find t.
0 = -16(t² - t - 6)
0 = (t - 3)(t + 2)
t - 3 = 0 ⇒ t = 3
t + 2 = 0 ⇒ t = -2
Since we are referring to time, we need to use the positive value. Therefore, the water balloon will take 3 seconds to hit the ground.
Use the distributive property.
3(6 + x) = 24
18 + 3x = 24
3x = 6
x = 2
