Acyclist rides at an average speed of 31 miles per hour. the cyclist’s speed, s, can differ from the average by as much as 8 miles per hour. the absolute value inequality |31-s|< =8 represents this situation. if the compound inequality -x< =31-s and x> =31-s also represents this situation, what is the value of x in the compound inequality?
a.–8
b. – 8 or 8
c. 8
d. 8 and –8

Olive's solar powered scooter travels at a rate of 30 miles per hour. what equation can she use to calculate her distance with relation to the time she traveled? h=hours m=miles 1. h=m+30 2. m=30h 3. m=h+30 4. h=30m

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

:)i need to know on which ones are corresponding, alternate interior, alternate exterior, or none of these.