Ronald is setting up an aquarium in his new office. at one pet store, fish cost $2 each and an aquarium cost $40. at another pet store, fish cost $3 each and an aquarium cost $36. write and solve a system of equations to represent the cost of x fish and an aquarium at each store. solve this the system. what does this solution represent? if ronald wants 5 fish, from which pet store should he buy his aquarium

Store #1 : 2x + 40

Store #2 : 3x + 36

he should buy his aquarium from store #1 because (2 * 5) + 40 = 50 and     (3 * 5) + 36 = 51, therefore it is cheaper at store #2 if he is buying 5 fish

(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