Solve the system using the inverse matrix method. 

A. x = 4, y = -1, z = 9; (4, -1, 9)
B. x = 11, y = -13, z = 9; (11, -13, 9)
C. x = 12, y = 0, z = 0; (12, 0, 0)
D. x = 45, y = 57, z = 19; (45, 57, 19)


Answer: B

Mathematics

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Find the length of the third side of the right triangle. Give an exact answer and, where appropriate, an approximation to three decimal places.

A. c = 7 km B. c = 9 km C. c = 5 km D. c = 10 km 

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Write the binomial expansion of the expression.5

A. -32 - y - y2 - y3 - y4 - y5
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Mathematics

According to automobile association of a country, on March 27, 2009, the national average price per gallon of regular unleaded (85-octane) gasoline was $2.02, and the price of premium unleaded (93-octane) gasoline was $2.23. The cost of the blend of mid-grade unleaded gasoline (92-octane). Determine the constraints for the objective function. ?

A.              x ? 0             y ? 0       x + y = 9285x + 93y = 92 B.              x ? 0             y ? 0       x + y = 185x + 93y = 92 C.                   x ? 0                  y ? 0            x + y = 922.02x + 2.23y = 93 D.                   x ? 0                  y ? 0            x + y = 922.02x + 2.23y = 92 E.                   x ? 0                  y ? 0            x + y = 922.02x + 2.23y = 85

Mathematics