Factor by grouping.x5 - x4 + 8x - 8
A. (x4 + 8)(8x - 1)
B. (x4 + 8)(x - 1)
C. (x4 - 1)(x + 8)
D. (x4 - 8)(x - 1)
Answer: B
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Verify the identity.cot3 x = cot x (csc2 x - 1)
What will be an ideal response?
Based on data collected during an experiment, a biologist found that the number of fruit flies (Drosophila) with a limited food supply could be approximated by the exponential model
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where t denotes the number of days since the beginning of the experiment. Find the average number of fruit flies in the colony in the first 12 days of the experiment and in the first 22 days. Please round your answers to the nearest integer.
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The average number of fruit flies in the first 12 days : __________
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The average number of fruit flies in the first 22 days : __________
What will be an ideal response?
Find the composition. If f(x) = 5x + 2 and g(x) = x + 6, find (f ? g)(x)
A. 5x + 8 B. 5x2 + 32 C. 5x + 32 D. 5x2 + 32x + 12
Solve the problem.John owns a hotdog stand. He has found that his profit is represented by the equation 
with P being profits and x the number of hotdogs. How many hotdogs must he sell to earn the most profit?
A. 39 hotdogs B. 20 hotdogs C. 41 hotdogs D. 38 hotdogs