Mandy has just purchased a bag of marbles. A new bag of marbles contains an average of 31 regular marbles and 2 large-sized novelty marbles. The number of regular marbles in a new bag can vary by as many as four marbles, but there are always 2 large-sized novelty marbles in each bag. Which equation can be used to determine the maximum and minimum number of regular marbles that Mandy could have in her new bag of marbles?

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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c

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a

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think about the doctor who treated the major and the speaker in the short story "in another country." put yourself in the shoes of the doctor, and based on what you read in the story, write what you think his thoughts about the major and the speaker would be. use the following vocabulary in your response and change the form of these words as needed: detached resign withered