|4r + 8| ≥ 32
Split this expression into two expressions:
First ⇒ 4r + 8 ≥ 32 and second ⇒ 4r + 8 ≤ - 32
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First expression: 4r + 8 ≥ 32
Subtract 8 from both sides.
4r ≥ 24
Divide both sides by 4.
r ≥ 6
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Second expression: 4r + 8 ≤ - 32
Subtract 8 from both sides.
4r ≤ -40
Divide both sides by 4.
r ≤ -10
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Your answer is 
Answer:
What is the volume of a square pyramid if each side of the base is 18 meters and the height is 12 meters?
V=1296
The correct answer is x=4
To find the the maximum value of a function, we set the first derivative equal to 0 and solve for the critical points. The first derivative is:
h'(t) = -32t + 36
Now we will find the critical points:
-32t + 36 = 0
-4(8t-9) = 0
8t - 9 = 0
t = 9/8
As a decimal, the answer is 1.125
To find the maximum height, we plug t = 1.125 into h(t):
h(1.125) = -16(1.125)^2 + 36(1.125) + 5 = 25.25
So the maximum height is 25.25 feet at 1.13 seconds.
