Use the Venn diagram shown to list the set in roster form.
A ? C
A. {2, 3, 4, 6, 8, 9, 10, 11, 12, 13}
B. {11}
C. {4, 11, 12}
D. {11, 13}
Answer: D
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Solve the minimization problem by using the simplex method to solve the dual problem.Minimize 4x1 + 5x2subject to 5x1 + 4x2 ? 20 4x1 + x2 ? 12 x1 + 3x2 ? 9and x1 ? 0, x2 ? 0
A. Minimum = when x1 =
and x2 =
B. Minimum = when x1 =
and x2 =
C. Minimum = when x1 = 2 and x2 =
D. Minimum = when x1 =
and x2 =
Find an equation of the line containing the pair of points.(9, -1) and (9, -5)
A. y = - 5x
B. y = -1
C. y = - x
D. x = 9
If possible, solve each system by an algebraic method (substitution or addition method). Otherwise, state that the problem has no solution or an infinite number of solutions.0.5x - 0.3y = -0.9-0.9x + 0.1y = 2.5
A. (-3, -2) B. (-2, -3) C. (-4, -1) D. (-3, -1)
Find the center and the radius of the circle.x2 + y2 + 9x + 7y + 10 = 0
A. , r =
B. , r =
,
C. , r =
D. , r =