Casey is traveling from the grocery store to the bank. there are two possible routes she can take, marked yellow and green in the diagram. which statement is true? a) the yellow path is 1 mile longer than the green path. b) the yellow path and green path are the same distance. c) the green path is 2 miles shorter than the yellow path. d) the green path is half the distance of the shorter path. e) the yellow path is double the distance of the green path.

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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