To solve the equation 12x + 12 = 1212, Martina first subtracted 12 from both sides of the equation. Theo, on the other hand, first factored 12 from both of the terms on the left side of the equation. If Martina and Theo both continue with their solutions, using the least number of steps possible, which of these is a valid argument?

Aschool typically sells 500 yearbooks each year for 50 dollars each. the economic calls does a project and discovers that they can sell 100 more yearbooks for every $5 decrease in price. the revenue for yearbook sales is equal to the number of yearbooks sold times the price of the yearbook. let x represent the number of $5 decrease in price. if the expression that represents the revenue is written in the form r(x)=(500+ax)(50-bx). to maximize profit, what price should the school charge for the yearbooks? what is the possible maximum revenue? if the school attains the maximum revenue, how many yearbooks will they sell?

Julian wrote the following numeric pattern on the board3,10,17,24,31,38.what numbers of julian's pattern are compound numbers.

What is the approximate value of  x  in the equation below.–3.396–0.7080.3040.955