Mr. Koger is making copies of the school literary magazine to distribute to students and faculty. He has access to two copy machines: an older machine and a new machine. If he used only the older machine, it would take 80 minutes longer than if he used only the new machine. If he used both machines, he would finish the job in 30 minutes.

Ms. sutton recorded the word counts and scores of the top ten essays in a timed writing contest. the table shows her data. how does the word count of an essay relate to its score in the contest? word count tends to decrease as the score decreases. word count tends to increase as the score decreases. word count tends to remain constant as the score decreases. word count has no apparent relationship to the score of the essay.

Suppose that the price p (in dollars) and the weekly sales x (in thousands of units) of a certain commodity satisfy the demand equation 4p cubedplusx squaredequals38 comma 400. determine the rate at which sales are changing at a time when xequals80, pequals20, and the price is falling at the rate of $.20 per week.

Factor the polynomial by its greatest common monomial factor.