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
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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
Evaluate the expression when x = 2, y = 1, and z = 4.2z2
A. 16 B. 32 C. 18 D. 12
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 =
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