Jimmy owns a small engine repair business. The revenue, in dollars, can be modeled by the equation y = 420 + 72x, where x is the number of hours spent repairing small engines. The overhead cost, in dollars, can be modeled by the equation y = 24x² + 180 where x is the number of hours spent repairing bikes. After about how many hours does the company break even? Note: The phrase break even refers to the value where the two functions are equivalent.

5 hours

Step-by-step explanation:

Given

--- Revenue

--- Overhead cost

Required

Determine the hours for break even

To do this, we simply equate both expressions as follows:

Collect Like Terms

Divide through 24

Expand:

Factorize:

But x can't be negative because it represents time.

So, x = 5 hours

may i see the picture? it would a lot, xox

the correct answer option is (2x-3)(2x+3).

step-by-step explanation:

we are given the following expression and we are to factorize it:

we are to find such factors that when multiplied they give a result of 36 (9 x 4 = 36) and when added they give a result of 0.

the two such factors of 36 are negative six and postive six.

factorizing the given expression to get:

therefore, the correct factorization of is (2x-3)(2x+3).