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Maurinko [17]
3 years ago
8

a factory produces toy dolls at a rate of 400 per hour and has to recycle 3% of them because the clothes are torn. express the r

ecycle percent as a rate per 100. how many dolls are recycled each hour during production?
Mathematics
1 answer:
AnnyKZ [126]3 years ago
4 0
12
3/100 = 0.03
0.03x400 = 12
12 dolls are recycled per hour
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Part A. You have the correct first and second derivative.

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Part B. You'll need to be more specific. What I would do is show how the quantity (-2x+1)^4 is always nonnegative. This is because x^4 = (x^2)^2 is always nonnegative. So (-2x+1)^4 >= 0. The coefficient -10a is either positive or negative depending on the value of 'a'. If a > 0, then -10a is negative. Making h ' (x) negative. So in this case, h(x) is monotonically decreasing always. On the flip side, if a < 0, then h ' (x) is monotonically increasing as h ' (x) is positive.

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Part C. What this is saying is basically "if we change 'a' and/or 'b', then the extrema will NOT change". So is that the case? Let's find out

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so either
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