Josh is hiking glacier national park. he has now hiked a total of 17 \text{ km}17 km17, start text, space, k, m, end text and is 2 \text{ km}2 km2, start text, space, k, m, end text short of being \dfrac12 2 1 start fraction,
1, divided by,
2, end fraction of the way done with his hike.
write an equation to determine the total length in kilometers (h)( h, )of josh's hike.
find the total length of josh's hike. \text{km}km

Acompany wants to reduce the dimensions of its logo by one fourth to use on business cards. if the area of the original logo is 4 square inches, what is the area of the logo that will be used on the business cards?

Lines a and b are parallel. what is the value of x? -5 -10 -35 -55

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