Solve the system using the inverse of the coefficient matrix of the equivalent matrix equation.2x + 8y + 6z = 204x + 2y - 2z = -23x - y + z = 11

A. (-1, 2, 1)
B. (2, 1, 6)
C. (2, -1, 4)
D. No solution


Answer: C

Mathematics

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Solve the problem.If f(x, y) = (4000ey)/(1 + /2) represents the population density of a planar region on Earth, where x and y are measured in miles, find the number of people within the rectangle -9 ? x ? 9 and -2 ? y ? 0.

A. 8000(1 - e-2) ln 5 ? 16,587
B. 4000(1 - e-2) ln  ? 5896
C. 8000(1 - e-2) ln  ? 11,792
D. 16,000(1 - e-2) ln  ? 23,585

Mathematics

Solve the problem.If an object is thrown upward with an initial velocity of 12 ft per sec, then its height (in feet) is given by  after time t seconds. What is its maximum height?

A. 144 ft B. 147 ft C. 36 ft D. 108 ft

Mathematics

Solve.The volume V of a gas varies inversely as the pressure P on it. The volume of a gas is  under a pressure of  What will be its volume under a pressure of 36 kg/cm2?

A. 140 cm3 B. 133 cm3  C. 315 cm3 D. 331 cm3

Mathematics

Solve the system by the addition method. If there is no solution or an infinite number of solutions, so state. Use set notation to express the solution set.

A. no solution; ? B. {(1, -1)} C. {(-1, -2)} D. {(-2, -1)}

Mathematics