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Chapter 4: Q 233 (page 458)
In the following exercises, evaluate the determinate of each square matrix.
The value of the determinant is
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Solve the system of equations by substitution
Translate to a system of equations and then solve:
Mitchell left Detroit on the interstate driving south towards Orlando at a speed of miles per hour. Clark left Detroithour later traveling at a speed of miles per hour, following the same route as Mitchell. How long will it take Clark to catch Mitchell?
Translate to a system of equations and then solve:
Mark went to the gym and did minutes of Bikram hot yoga and minutes of jumping jacks. He burned calories. The next time he went to the gym, he did minutes of Bikram hot yoga and minutes of jumping jacks burning calories. How many calories were burned for each minute of yoga? How many calories were burned for each minute of jumping jacks?
Geraldine has been offered positions by two insurance companies. The first company pays a salary of \(12,000 plus
a commission of \)100 for each policy sold. The second pays a salary of \(20,000 plus a commission of \)50 for each
policy sold. How many policies would need to be sold to make the total pay the same?
Without graphing, determine the number of solutions and then classify the system of equations.
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