515x + 285y=11,080. X+Y=30

work is shown and pictured

x = 11, y = 19.

Step-by-step explanation:

515x + 285y=11,080

x + y = 30

Divide first equation by 5:

103x +57y = 2216

Now multiply the second equation by -57:

-57x - 57y =  -1710

Adding the last 2 equations:

46x = 506

x = 506/46 = 11

Substituting for x in x + y = 30:

11 + y = 30

y = 19.

(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