Mike repairs televisions. his revenue, in dollars, can be modeled by the equation y = 25 + 30x, where x is the number of hours spent repairing televisions. his overhead cost, in dollars, can be modeled by the equation y=5x2−10 , where x is the number of hours spent repairing televisions. after how many hours does he break even? note: the phrase break even refers to the value where the two functions are equivalent.

At x = 7 hours spent on repairing television he will get break even point.

Step-by-step explanation:

Since we have given that

Equation of revenue is given by

where x is the number of hours spent repairing television.

Equation of overhead cost is given by

We need to find the break even point.

As we know the break even situation:

Hence, at x = 7 hours spent on repairing television he will get break even point.

4

step-by-step explanation:

a) one student is chosen from classroom a, then a student is chosen from classroom b.  

step-by-step explanation:

independent events are ones in which the probability of one event does not affect the probability of the second event.

one student is chosen from classroom a; this does not affect the chances of choosing a student from classroom b.   this makes these independent events.

when one card is chosen from a standard deck and then set aside before a second card is chosen, the probability of the second card being chosen changes.   this makes them dependent events.

when one student is chosen from classroom a and then a second student is chosen from classroom a, the probability of choosing the second student changes.   this makes them dependent events.

when a letter is chosen from the alphabet and then a second letter is chosen, the probability of choosing the second letter changes.   this makes them dependent events.