Which description is paired with its correct expression?
seven less than the quotient of two and a number squared, increased by six; 7 minus StartFraction 2 Over n squared EndFraction + 6
nine times the difference of a number cubed and three; 9 (n cubed minus 3)
eight more than the quotient of a number squared and four, decreased by seven; 8 + StartFraction 4 Over n squared EndFraction minus 7
twice the difference of a number cubed and eight; 2 n cubed minus 8

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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