Answer the question.To complete the square of 2x2 + 4x = 8, is it ever a good idea to divide by the coefficient of x2?
What will be an ideal response?
Yes. In order to complete the square, the coefficient of the second-degree term must be 1.
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Solve the problem.Let Vt be the volume of the tetrahedron bounded by the coordinate planes and the plane 
, and let Ve be the volume of the ellipsoid 
. Find the quotient 
.
A. 
B. 
C. 4?
D. 8?
Determine whether the graph is a tree.An advertising corporation is concerned about employees becoming socially isolated as a result of the company's new network and e-mail system that makes face-to-face interaction less frequent. The corporation managers believe that this isolation is responsible for a decline in personal creativity. To assess the extent of the personal isolation, employees are asked to correctly name other employees when shown photographs of those other employees. To summarize the data, a graph is created in which vertices represent employees and edges connect pairs of employees who correctly identified each other from their photos. Must the graph necessarily be a tree?
A. Yes B. No
Perform the indicated operations.(6x6 + 3x3 - 5x) + (8x6 + 9x3 + 8x)
A. 3x6 + 15x3 + 11x B. 14x + 12x6 + 3x3 C. 29x10 D. 14x6 + 12x3 + 3x
Simplify the expression. If any variables exist, assume that they are positive.6
+ 5
A. 11
B. 30
C. 33
D. 11