Answer:
t = 3; It takes the ball 3 seconds to reach the maximum height and 6 seconds to fall back to the ground.
Step-by-step explanation:
To find the axis of symmetry, we need to find the vertex by turning this equation into vertex form (this is y = a(x - c)² + d where (c, d) is the vertex). To do this, we can use the "completing the square" strategy.
h(t) = -16t² + 96t
= -16(t² - 6t)
= -16(t² - 6t + 9) - (-16) * 9
= -16(t - 3)² + 144
Therefore, we know that the vertex is (3, 144) so the axis of symmetry is t = 3. Since the coefficient of the squared term, -16, is negative, it means that the vertex is the maximum. We know that it takes the golf ball 3 seconds to reach the maximum height (since the t value of the vertex is 3) and because the vertex is on the axis of symmetry, it would take 3 more seconds for the ball to fall to the ground, therefore it takes 3 + 3 = 6 seconds to fall to the ground. The final answer is "t = 3; It takes the ball 3 seconds to reach the maximum height and 6 seconds to fall back to the ground.".
Answer:
multiply 8 by 5 then round :D
Step-by-step explanation:
Answer:
The answer is: mean = 80.8, median = 82.5, mode = 67
Step-by-step explanation:
Answer:
1 1/8
Step-by-step explanation:
First, Make the first fraction into a new one with an equal denominator. (3/4 x2= 6/8)
Then, subtract the whole numbers (2-1=1) and the fractions (6/8-5/8= 1/8)
Lastly, add your two differences together and you get 1 1/8.
