The answer is: "p = 2" .
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Explanation:
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Given:
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" 8p + 8 = 10 + 7p " ; Solve for "p" ;
Subtract "7p" from each side of the equation; & subtract "8" from each side of the equation; as follows:
8p + 8 − 7p − 8 = 10 + 7p − 7p <span>− 8 ;
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to get:
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"p = 2 " ; which is our answer.
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Answer:
293 packs is the maximum the store can sell.
Step-by-step explanation:
Determine the number of packs that can be made with 4 pairs of socks.
(1173 pairs)/(4 pairs/pack) = 293.25 packs
We can't sell 0.25 pack (1 pair of socks), so drop that fraction to yield 293 full packs. Donate the spare pair, so to speak, to the local IRS agent.
The critical points are at x = 1 and x = 4 giving you the intervals (-inf, 1), (1, 4) and (4, inf).
By substituting x values in these 3 intervals, you can see that f'(x) is positive in the first and third intervals and negative in the second interval.
This means that f(x) is increasing in the first and third intervals and decreasing in the second interval.
The answer is D.