A restaurant finds that the number of meals sold is represented by the expression 2m-7. The cost per meal is m dollars. The amount of money the restaurant makes is the product of the number of meals sold and the cost per meal. If the restaurant made $12,250, what equation can be used to determine the cost per item?

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 length of a rectangle is 5 times the width. if the perimeter is to be greater than 36 meters. what are the possible values for the width?

Solve the proportionx+1 14 = x-1 20 a. -3/17 b.10/7 c.7/10 or d. -17/3