Atrack team will run a 4 mile relay race. the coach divided the students into groups of 4. the first runner of each group would run 1/4 of the distance, the second runner would run the next 1/3 of the distance, the third runner would run 1/2 of the remaining distance, and the fourth would run the rest of the way. some say this is unfair because some people would run longer distances than others. are they correct, explain.

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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