Aclothing store is having a sale on holiday socks. each pair of socks costs x dollars. you leave the store with 6 pairs of socks and spend a total of (6x-14) dollars. you pay with $40. how much change do you receive?

$ 14

Step-by-step explanation:

Since, the cost of 1 pair of socks = x

The cost of 6 pair of socks = 6 x

Total amount spend = $ 40

According to the question,

6 x - 14 = 40

6 x = 40 + 14

6 x  = 54

x = 9

Thus, the original price of one pair of socks = $ 9

⇒ The original price of 6 pairs of socks = $ 54

Hence, the total change = original price of socks - the price of socks in the sale = 54 - 40 =  $ 14

(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

70

step-by-step explanation: