Find the vertex of the parabola.y = x2 - 8 x - 2

A. (-4, -18)
B. (-4, -21)
C. (4, -18)
D. (4, -21)


Answer: C

Mathematics

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Evaluate the sum. Round to two decimal places, if necessary. 

A. 0.26 B. 62 C. 0.62 D. -0.82

Mathematics

Simplify the expression.(1 - )(6 + 2)

A. 6 + 2 - 30 - 2
B. 6 + 2 - 6 - 2
C. 6 - 2 - 6 - 
D. 6 + 2 -  + 2

Mathematics

Given matrix A, find the indicated minor or cofactor.Find the cofactor A12.A = 

A. 6 B. -1 C. 3 D. 1

Mathematics

A workshop of Peter's Potters makes vases and pitchers. Profit on a vase is $3, profit on a pitcher is $4. Each vase requires  hour of labor, each pitcher requires 1 hour of labor. Each item requires 1 unit of time in the kiln. Labor is limited to 4 hours per day and kiln time is limited to 6 units per day. Initial and final tableaux are shown in finding the production plan that will maximize profits: (x = the number of vases and y = the number of pitchers made per day).?

/>?(initial)(final)How much surplus kiln time is available when the optimal plan is in effect?

A. 2 units
B. 1 unit
C. 4 units
D. 0 units
E. none of these

Mathematics