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:
1456
Step-by-step explanation:
56x2x13
56x26
1456
Step-by-step explanation:
the picture includes the answer and work
I plugged in 2 for x
the equations that got the same answer, I put together
-2 | 8-x| - 6 = -12...add 6 to both sides
-2 |8-x| = -12 + 6
-2 |8-x| = - 6...divide both sides by -2
|8-x| = -6/-2
|8-x| = 3
8 - x = -3 -(8 - x) = -3
-x = -3-8 -8 + x = -3
-x = -11 x = -3 + 8
x = 11 x = 5
not correct.....sign error
Answer:
$2.24 / lb
Step-by-step explanation:
$1 = 100 cents
16 oz = 1 lb
Simplified,
= $2.24/ lb
