Research studies show that the relationship between the tire pressure of a vehicle’s tires and the life of the tires is quadratic. The following table shows the recommended tire pressure of a car’s tires (in pounds per square inch) and its anticipated tire life (in thousands of miles).
Use a graphing or online regression calculator to find the quadratic function of best fit for this set of data. What is the value of a in this function?

Tire Pressure Tire Life
29 46.8
32 57.6
34 58.8
36 60.0
38 58.8
40 57.0
42 52.8

-0.00240947
-0.0240947
-0.240947
-2.40947

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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answer:   c ?

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