Find the center and the radius of the circle.x2 + y2 + 7x - 3y - 59 = 0

A. , r = 
B. , r = 
C. , r = 
D. , r = 


Answer: B

Mathematics

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Find the domain and range and describe the level curves for the function f(x,y).f(x, y) = 

A. Domain: all points in the xy-plane; range: all real numbers; level curves: parabolas 
B. Domain: all points in the xy-plane excluding x = 0; range: real numbers z ? 0; level curves: parabolas 
C. Domain: all points in the xy-plane; range: real numbers z ? 0; level curves: parabolas 
D. Domain: all points in the xy-plane excluding x = 0; range: all real numbers; level curves: parabolas 

Mathematics

Determine the system of inequalities illustrated in the graph. Write inequalities in standard form.

A. x - 4y > -2 3x + y < 0 B. -x + 4y > -2  3x + y < 0 C. -x + 4y < -2  3x + y < 0 D. x - 4y < -2 3x + y < 0

Mathematics

Solve the problem.The area of a rectangular piece of cardboard shown is 860 square inches. The cardboard is used to make an open box by cutting a 4-inch square from each corner and turning up the sides. If the box is to have a volume of 1680 cubic inches, find the dimensions of the cardboard that must be used.

A. 12 inches by 31 inches B. 20 inches by 43 inches C. 16 inches by 39 inches D. 24 inches by 47 inches

Mathematics

Solve the problem.If the average cost per unit C(x) to produce x units of plywood is given by C(x) = , what do 600 units cost?

A. $18,000.00 B. $180.00 C. $857.14 D. $899.95

Mathematics