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.".
Step-by-step explanation:
You transformed the function as follows:
All trasformations of the fashion 
translate the function horizontally, k units right if k is positive, k units left if k is negative.
In your case, k=6, so you translated the original function y=|x| 6 units to the right.
Answer:
since we are not given the options, I will write down a few equations that represent the number of French bread loaves and bagels:
- a = number of loaves of French bread
- b = number of bagels
- available amount of flour = 38
2a + b ≤ 38
2a ≤ 38 - b
a ≤ (38 - b) / 2
a ≤ 19 - 0.5b
b ≤ 38 - 2a
b ≤ 2(19 - a)
Hopefully one of these equations is one of the choices given to you.
Answer:
multiply it by zero
Step-by-step explanation:
zero times anything is zero
