What is the answer to x 3,6,9,12 y -6,-12,-18,-24 y=mx+b

The equation of the line or linear function is:

y = -2x

Step-by-step explanation:

Given the table

x        3       6       9        12

y      -6    -12      -18      -24

As there is a constant change in x and y values, so the table represents the linear function.

The slope-intercept form of the linear equation

y = mx+b

where

Taking any two points, let say

Determining the slope between (3, -6) and (6, -12)

Refine

Thus, the slope m = -2

now substituting m = -2 and (3, -6) in the slope-intercept form

y = mx+b

-6 = -2(3) +b

-6 = -6 + b

b = -6 + 6

b = 0

Thus, the y-intercept b = 0

now substituting m = -2 and b = 0  in the slope-intercept form of linear function

y = mx+b

y = -2x + 0

y = -2x

Therefore, the equation of line or linear function is:

y = -2x

(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

ratio is 2 : 9

the answer is three

13.5 : 3