Which of the following could represent consecutive even integers?
a. x + 1, x + 2
b. x + 1, x + 3
c. 2x, 2x + 1

Only b. x+1, x+3 as long as x is an odd integer 

a. x+1, x+2, wouldn't be consecutive even integers.     If x is odd (e.g. 1), then 1+1=2 would be even but, 1+2=3 would be odd. 

c. 2x, 2x+1, wouldn't be the answer.  2x will certainly be even but 2x+1 is going to be odd. 

(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

80π/3 or about 83.775

step-by-step explanation:

since a cone is 1/3 of a cylinder, we need to find the base's area. since area = πr^2, we get 16π. then, multiplying this by 5, we get 80π. dividing by 3, since the cone's volume is 1/3 of that of a cylinder's, we get 80π/3.

hope this !