(30 points multiple choice + brainliest answer)
a company dyes two sizes of rugs. a small rug requires 2 hours for dyeing and a medium-size rug requires 3 hours for dyeing. the dyers need to make at least 15 rugs, and they must do it in less than 60 hours. let x equal small rugs and y equal medium rugs. which of the following inequalities can be paired with x + y ≥ 15 to create a system that represents this situation?

a. 2x + 3y < 60
b. 3x + 2y < 60
c. 2x + 3y > 60
d. 3x + 2y > 60

(x3 + 6x2 + 2x - 6) • (x - 1)

step-by-step explanation:

polynomial long division :

3.2     polynomial long division

dividing :   x4+5x3-4x2-8x+6

                              ("dividend")

by         :     x-1     ("divisor")

dividend     x4   +   5x3   -   4x2   -   8x   +   6

- divisor   * x3     x4   -   x3            

remainder         6x3   -   4x2   -   8x   +   6

- divisor   * 6x2         6x3   -   6x2        

remainder             2x2   -   8x   +   6

- divisor   * 2x1             2x2   -   2x    

remainder               -   6x   +   6

- divisor   * -6x0               -   6x   +   6

remainder                     0

quotient :   x3+6x2+2x-6   remainder:   0