The difference between two numbers is 4. If twice the larger number x is equal to three more than three times the smaller number y, what is the value of 2x + 3y?

33

Step-by-step explanation:

x-y=4 or x=y+4

2x=3y+3 or x=1.5y+1.5

x=y+4 and x=1.5y+1.5 so

y+4=1.5y+1.5 or 2.5=0.5y or y=5

plug y=5 into x=y+4 and you get x=9

plug in y=5 and x=9 into 2x+3y and you get 2*9+3*5=18+15=33

lo.lll

step-by-step explanation:

(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