Someone please help me and show work

Step-by-step explanation:

The Total Cost formula for the Dealership is

$24 + ($99/hr)h, where h represents the number of hours of labor performed.

That for the Local Mechanic is

$45 + ($89/hr)h

We equate these two formulas so as to determine h, the number of hours elapsed so that the total costs are the same:

24 + 99h = 45 + 89h

Combining like terms, we get:

21 = 188h

Solve for h by dividing both sides by 188:

h = 188/21 = 8.95

The two bills would be equal 8.95 hours after commencement of the work.

Part b:

Dealership:  $24 + ($99/hr)h.  Evaluate this at 8.95 hrs:  $910.05.

The dealership's bill would be more expensive AFTER 8.95 hours, because the rate of change ($99/hr) is greater in that case.

The local mechanic's total bill would be less up until the time that the car has been worked on for 8.95 hours.

$24 + ($99/hr)(8.95 hr) =

g(x) = x² + 2

step-by-step explanation:

it is given that the graphs are the same shape.

the only difference is that the red graph is 2 units higher than the blue graph.

that is to say that the red graph is simply the blue graph that has been moved vertically by 2 units in the positive y direction.

hence

g(x) = f(x) + 2

or

g(x) = x² + 2