The variable z is directly proportional to x. when x is 13, z has the value 169. what is the value of z when x = 19?

Given that, the variable z is directly proportional to x.

So, we can set up an equation as following:

z = kx Where k is constant of variation.

When x= 13, z is 169.

Hence, next sep is to plug in these values in the above equation to get the value of k. Therefore,

169 = k * 13

Divided each sides by 13.

So, k = 13

By plug in k = 13 in the above equation we will get z = 13x.

Now we need to find the value of z when x = 19.

From the above equation we will get:

z = 13 * 19

z = 247

So, z = 247.

I hope this helps you!

15 units use socratic

step-by-step explanation: 15 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