The price of oranges be determined by the equation: n P 89 . 0 $  , where P is the price and n is the number of pounds of oranges. What is the constant of proportionality (unit rate)?

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

The figure below shows three quadrilaterals on a coordinate grid. which of the following statements is true about the three quadrilaterals? q and w are similar but not congruent. w and s are similar and congruent. w and q are similar and congruent. q and s are similar but not congruent.

How do we express one half of the number difference of a number cubed and one