Travis gained 9 pounds during the holidays. he dieted and lost 14 pounds but gained 3 more when he went on vacation. by the end of the year he lost another 7 pounds. how much and in what direction was his net change in weight?

At the end of the year, Travis had 9 less pounds then what he started with during the holidays, meaning that the direction of his net change in weight is negative.

Step-by-step explanation:

We don't know what Travis's weight is to start with, so let's add a variable that will substitute for his weight. It's not too important to know exactly what his weight to start with is, anyway. If you write it out using w as the weight Travis started with during the holidays, you would end up with:

w + 9 - 14 + 3 - 7

If you simplify the above equation:

w - 9

This means that at the end of the year, Travis will have 9 less pounds than what he started with in the holidays.

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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