Use the following scenario to answer the question below: A young equestrian loved to ride her horse all day long, dreaming of the day
she would ride in the Kentucky Derby. One day in early April, she left home at
10:00 am and rode her stallion at a nice, steady 10 miles per hour away from
her house. At noon a call came in from the Derby saying she was in! Her
father immediately jumped on his scooter to try and track her down and tell
her the good news.
Riding at a breezy 15 miles per hour, after how many hours on the scooter will
her father catch up to her?

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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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