Oliver is working two summer jobs, making $8 per hour babysitting and making $18 per hour lifeguarding. In a given week, he can work no more than 16 total hours and must earn no less than $180. If x represents the number of hours babysitting and y represents the number of hours lifeguarding, write and solve a system of inequalities graphically and determine one possible solution.

Which ordered pair identifies a point in quadrant iv? a) (2, 5) b) (0, 1) c) (-1, -1) d) (12, -5) which quadrant is (-4,-6) in? a) i. b) ii. c) iii. d) iv.

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

Classify the following triangle check all tht apply