Classify the shapes based on their volumes. a cone with a radius of 12 units
and a height of 6 units
a cylinder with a diameter of 12 units
and a height of 27 units
a sphere with a diameter of 12 units
a cylinder with a diameter of 8 units
and a height of 18 units
a sphere with a radius of 9 units
a cone with a diameter of 18 units
and a height of 36 units

(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

its the second choice.

step-by-step explanation:

the elements in the range will be 7 less than the elements in the domain.

y= 2x+7

changed to y= 5x +7

as slope is increased from 2 to 5

therefore it would be less steeper

so, option d) is correct