Elena collects data to investigate the relationship between the number of bananas she buys at the store (LaTeX: xx) and the total cost of the bananas (LaTeX: yy). Which value for the correlation coefficient is most likely to match a line of best fit of the form LaTeX: y=mx+by = m x + b for this situation?

r=–0.9

r=–0.4

r=0.9

r=0.4

hello from mrbilldoesmath!

answer:   x (x+6)^2, choice b

discussion:

factor x out of the equation:

x^3 + 12x^2 + 36x = x (x^2 + 12x + 36).

note that 6+6 = 12 and 6*6 = 36 so the above factors into:

x (x+6)^2

which is choice b

you,

mrb

b and c are the correct answers.

good luck on the quiz! : d

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