1) Darius is making picture frames. To make a frame, Darius starts with a square piece of cardboard that is 12 inches long on each side. Then he cuts out a square hole in the center. The size of the square hole depends on the picture he is framing. 12 in. .) s = length (in.) of one side of the square hole 1) Which expression represents the area of the frame in square inches? (12 - 8) 122 - 82 (8 - 12) 8? - 12

In δabc, if the length of side b is 3 centimeters and the measures of ∠b and ∠c are 45° and 60°, respectively, what is the length of side c to two decimal places?

Calculate the missing value. round the answer to on decimal place. start with 70, increase it by 21%, and end up with

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