Solve the following system by any appropriate method. If there is no real number solution, so state.x2 + 4y2 = 8x2 - 4y2 = 10
A. (3, 1), (-3, -1)
B. (3, 1), (3, -1)
C. (3, 1), (3, -1), (-3, 1), (-3, -1)
D. no solution
Answer: D
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Write the equation for the plane.The plane passing through the points (1, 2, 6), (-1, 4, 0), and (3, 1, 5).
A. 9x - 2y + 8z = 53 B. 6x + 11y - z = 22 C. 4x + 7y + z = 24 D. 2x + 4y + 5z = 40
Use the two steps for solving a linear programming problem to solve the problem.A summer camp wants to hire counselors and aides to fill its staffing needs at minimum cost. The average monthly salary of a counselor is $2400 and the average monthly salary of an aide is $1100. The camp can accommodate up to 45 staff members and needs at least 30 to run properly. They must have at least 10 aides, and may have up to 3 aides for every 2 counselors. How many counselors and how many aides should the camp hire to minimize cost?
A. 35 counselors and 10 aides B. 12 counselors and 18 aides C. 18 counselors and 12 aides D. 27 counselors and 18 aides
Give a geometric description of the set of points whose coordinates satisfy the given conditions. x2 + y2 + z2 > 64
A. All points outside the cylinder with radius 8 B. All points in space C. All points outside the sphere of radius 8 D. All points on the surface of the cylinder with radius 8
Solve the problem.Kim decided to do some spring cleaning. She spent 
hours cleaning her garage on Saturday. The next day she spent 
hours cleaning her basement. What was the total amount of time she spent cleaning that weekend?
A. 16 hours
B. 16
hours
C. 3
hours
D. 15 hours