Brent is trying to choose two gifts for his friend Julie's birthday. While at one store, he notes 6 different CDs and 3 different DVDs that he knows she would like. At a second store, there are 3 different mysteries, 3 different biographies, and 7 different cookbooks he could also purchase. If Brent wants to buy one gift from each store, how many different combinations could he purchase?

A.90
B.22
C.32
D.117

answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

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