Lily needed to get her computer fixed. She took it to the repair store. The technician at the store worked on the computer for 4.5 hours and charged her $193 for parts.
The total was $530.50. What was the cost of labor, per hour?

The cost per hour for the labor will be $75

Total amount charged = $530.50

Amount charged for parts = $193

Number of hours used = 4.5 hours

Let the amount charged per hour = x

Therefore, the equation to solve the question will be:

193 + 4.5(x) = 530.50

193 + 4.5x = 530.30

Collect like terms

4.5x = 530.50 - 193

4.5x = 337.50

Divide both side by 4.5

4.5x/4.5 = 337.50/4.5

x = 75.

The cost of labor per hour is $75

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(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