The projected population in thousands for city over the next several years can be estimated by the function P(x)=x^3+2x^2 -8x + 520 where X is the number of years since 2005 use synthetic substitution to estimate the population for 2015

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step-by-step explanation:

nndncnd cnn

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place r′ so that qr′ is parallel to the tangent.

now we get that ∠r′py=∠pr′q, where y is on the tangent, on the opposite side of p from x.

also, because of the symmetry, ∠r′py=∠qpx.

finally, note that no matter where we place r, as long as it's on the correct arc, we have ∠prq=∠pr′q.

stringing all these equalities together, we end up with ∠prq=∠qpx.

this picture will show how its going to look like.

hope this by jack monhen