Does y vary directly with x if so what is the equation for the direct variation x: 1 4 7 y: 3 6 9

No Y and X do not vary directly.

Step-by-step explanation:

The equation for  direct variation is

This means , the ratio of y and x must be a constant.

In the given values:

for y = 3, x = 1

for y = 6, x = 4

for y = 9, x = 7

Since the ratio of y and x values is not a constant, there is no direct variation in the equation.

(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

i think it will be zero as slope has a formula of difference between initial and final distance divided by itz time interval