Solve the system. If the system's equations are dependent or if there is no solution, state this.7x - 2y + 7z = 2-4x + 8y + 3z = -828x - 8y + 28z = 6

A. The equations are dependent.
B. No solution
C. (4, 4, -1)
D. (2, -8, 6)


Answer: B

Mathematics

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Solve the problem.A vineyard produces two special wines, a white and a red. A bottle of the white wine requires 14 pounds of grapes and 1 hour of processing time. A bottle of red wine requires 25 pounds of grapes and 2 hours of processing time. The vineyard has on hand 2,198 pounds of grapes and can allot 160 hours of processing time to the production of these wines. A bottle of the white wine sells for $11.00, while a bottle of the red wine sells for $20.00. How many bottles of each type should the vineyard produce in order to maximize gross sales?

A. 76 bottles of white, 42 bottles of red B. 14 bottles of white, 132 bottles of red C. 132 bottles of white, 14 bottles of red D. 42 bottles of white, 59 bottles of red

Mathematics

Sketch the given surface.x2 + y2 = z2

What will be an ideal response?

Mathematics

Provide an appropriate response.Use a metric ruler to measure the line below to the nearest millimeter:  

Fill in the blank(s) with the appropriate word(s).

Mathematics

Determine the standard equation of the hyperbola with the given characteristics and sketch the graph.The foci are at (0, - ) and (0, ), and an asymptote has equation y = - x.

A.   -  = 1

B.   -  = 1

C.  -  = 1

D.  -  = 1

Mathematics