Joseph has $620 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 $440.12.
He buys 2 bicycle reflectors for $12.86 each and a pair of bike gloves for $19.26.
He plans to spend some or all of the money he has left to buy new biking outfits for $53.96 each.

Write and solve an inequality which can be used to determine oo, the number of outfits Joseph can purchase while staying within his budget.

So our limit is the 620$ that he has to spend. We know for a fact that the bike costs about 427.57 dollars. 4  $11.38 reflectors are purchased as well as gloves for 31.41.  Now however many outfits he can purchase cannot exceed or go over his money limit of 620 so the variable (x) represents how many outfits he can buy without going over.

Step-by-step explanation:

n

Step-by-step explanation:

nn

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.