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umka2103 [35]
3 years ago
13

A book 500 pages (500 sheets of paper) long is 2.25 inches thick. If each cover is 0.125 inches thick, how thick is each sheet o

f paper?
Mathematics
1 answer:
luda_lava [24]3 years ago
6 0
Subtract the thickness of the covers from the total thickness of the 500-pages book. Since each cover is 0.125 inches thick, double this value and subtract from 2.25 inches. This results to 2 inches. To determine the thickness of each of the pages, divide 2 inches by 500 pages. Therefore, the thickness of a single page is 4x10^-3 inch. 
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Given the function h(x)=x^2+14x+41, to solve by completing square we procced as follows;
x^2+14x+41=0
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but;
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substituting the value of c in the expression we get:
x^2+14x+49=-41+49
x^2+14x+49=8
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this can be written in vertex form;
h(x)=a(x-h)^2+k
where:
(h,k) is the vertex;
thus
(x+7)^2=8
h(x)=(x+7)^2-8
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