Factor completely, or state that the polynomial is prime.8x3 - 8
A. 8(x3 - 1)
B. 8(x + 1)(x2 - x + 1)
C. prime
D. 8(x - 1)(x2 + x + 1)
Answer: D
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Solve the problem.Wildlife management personnel use predator-prey equations to model the populations of certain predators and their prey in the wild. Suppose the population M of a predator after t months is given by M = 750 + 125 sin 
twhile the population N of its primary prey is given by N = 12,250 + 3050 cos 
tFind the period for each of these functions.
Fill in the blank(s) with the appropriate word(s).
Find the standard deviation of the probability density function to the nearest hundredth.f(x) = 
- 
; [2, 6]
A. 0.93 B. 0.95 C. 0.92 D. 0.94
Simplify. Assume that no radicands were formed by raising negative quantities to even powers.
A. 3(m + 8)6
B. 27(m + 8)6
C. 2(m + 8)6
D. 3(m + 8)6
Solve the problem.The temperature of water in a certain lake on a day in October can be determined by using the model 
where x is the number of feet down from the surface of the lake and y is the Celsius temperature of the water at that depth. Based on this model, how deep in the lake is the water 9 degrees? (Round to the nearest foot.)
A. 67 B. 12 C. 45 D. 30