Determine the type of conic that is the graph of the equation.2x2 - 2x + y + 4 = 0

A. parabola
B. ellipse
C. not a conic
D. hyperbola


Answer: A

Mathematics

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Determine algebraically whether the graph is symmetric with respect to the x-axis, the y-axis, and the origin.x4 + y4 = 6

A. x-axis only B. x-axis, y-axis, origin C. Origin only D. y-axis only

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Evaluate the expression when x = 2, y = 1, and z = 4.2z2

A. 16 B. 32 C. 18 D. 12

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Find the constant of proportionality k, and write the linear function relating the two variables.Suppose that y varies jointly with x and z. When y = 84, x = 56 and z = 24.

A. k = ; y = xz
B. k = ; y = 
C. k = ; y = xz
D. k = ; y = 

Mathematics

Use the simplex method to solve the linear programming problem.Minimizew = 4y1 + 2y2subject to:3y1 + y2 ? 22 y1 + 4y2 ? 26 y1 ? 0, y2 ? 0

A. 22.5 when y1 = 0 and y2 = 0 B. 52 when y1 = 248 and y2 = 224 C. 32.7 when y1 = 5.6 and y2 = 5.1 D. 88 when y1 = 14 and y2 = 8

Mathematics