Mathematics, 19.12.2019 00:31 riveg
Delmar is constructing an equilateral triangle. he uses his straightedge to draw a segment and labels the endpoints w and x. with the compass opening equal to the length of the segment, he draws a circle centered at point w and then a circle centered at point x. he labels the intersections of the circles as points p and q.
how should delmar finish the construction?
use a straightedge to join points p and q. label the intersection of pq and wx as a. construct the midpoint of ax and label it b. use a straightedge to join points q and b. △qab is equilateral.
use a straightedge to join points w and p, p and q, and then w and q. △wpq is equilateral.
use a straightedge to join points w and p and then points p and x. △wpx is equilateral.
use a straightedge to join points p and q. label the intersection of pq and wx as a. use a straightedge to join points q and x. △qax is equilateral.
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If p(x) is the total value of the production when there are x workers in a plant, then the average productivity of the workforce at the plant is a(x) = p(x) x . (a) find a'(x). a'(x) = xp'(x) − p(x) x a'(x) = xp'(x) − p(x) x2 a'(x) = p'(x) − p(x) x a'(x) = xp'(x) − p'(x) x2 a'(x) = p'(x) − xp(x) x2 why does the company want to hire more workers if a'(x) > 0? a'(x) > 0 ⇒ a(x) is ; that is, the average productivity as the size of the workforce increases. (b) if p'(x) is greater than the average productivity, which of the following must be true? p'(x) − xp(x) > 0 p'(x) − xp(x) < 0 xp'(x) − p'(x) > 0 xp'(x) − p(x) < 0 xp'(x) − p(x) > 0
Answers: 2
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