Find the determinant of the given matrix. 

A. 48
B. -8
C. 62
D. 8


Answer: B

Mathematics

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Solve the problem.The gas mileage, m, of a compact car is a linear function of the speed, s, at which the car is driven, for  For example, from the graph we see that the gas mileage for the compact car is 45 miles per gallon if the car is driven at a speed of  Find and interpret the average rate of change in gas mileage between speeds of 40 mph and 90 mph.

A. -0.75 miles per gallon/mph;  Between speeds of 40 mph and 90 mph, gas mileage decreases at a rate of 0.75 miles per gallon for each 1 mph increase in speed. B. -0.5 miles per gallon/mph;  Between speeds of 40 and 90 mph, speed decreases at a rate of 0.5 miles per hour for each 1 mpg increase in gas mileage. C. -0.5 miles per gallon/mph;  Between speeds of 40 mph and 90 mph, gas mileage decreases at a rate of 0.5 miles per gallon for each 1 mph increase in speed. D. 0.5 miles per gallon/mph;  Between speeds of 40 and 90 mph, gas mileage increases at a rate of 0.5 miles per gallon for each 1 mph increase in speed.

Mathematics

Solve the problem.After a 17% price reduction, a boat sold for $26,560. What was the boat's price before the reduction? Round to the nearest cent, if necessary.

A. $4515.20 B. $31,075.20 C. $32,000 D. $156,235.29

Mathematics

Graph the system of inequalities.y ? x2x + y > 2

A.

B.

C.

D.

Mathematics

Solve the system of equations. If there is no solution to the system, give a reason.Solve using the substitution method.  x + 7y = -14-7x + 8y = -16

A. (1, -3) B. No solution; inconsistent system of equations C. (2, 0) D. (0, -2)

Mathematics