Caleb has $800 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax. He buys a new bicycle for $252.32.
He buys 3 bicycle reflectors for $11.73 each and a pair of bike gloves for $35.19.
He plans to spend some or all of the money he has left to buy new biking outfits for $58.97 each.

Which inequality can be used to determine x, the maximum number of outfits Caleb can purchase while staying within his budget?

Solve the system. -a+4b+2c=-8 3a+b-4c=9 b=-1 a.(0,11) ,-1,2) c.(1,1,-2) d.(2,-1,-1)

The position of a moving particle is given by the position function: f(t)=-9t-t^2-0.2t^3+0.1t^4 a. at what time does the particle reverse direction? b. when is the displacement positive? (round one decimal place and answer in interval notation) c. when is the displacement negative? (round one decimal place and answer in interval notation) d. when is the particle’s acceleration positive? (round one decimal place and answer in interval notation) e. when is the particle’s acceleration negative? (round one decimal place and answer in interval notation)

What is the location of point g, which partitions the directed line segment from d to f into a 5: 4 ratio? –1 0 2 3