Use the theorem that relates the sum of degrees to the number of edges to determine the number of edges in the graph.A graph with 8 vertices, one of degree 4, three of degree 2, and four of degree 1.

A. 6 edges
B. 5 edges
C. 14 edges
D. 7 edges


Answer: D

Mathematics

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Find the absolute maxima and minima of the function on the given domain.  on the trapezoidal region with vertices        and  

A. Absolute maximum: 11 at    absolute minimum: 0 at  
B. Absolute maximum: 11 at    absolute minimum: 8 at  
C. Absolute maximum: 6 at    absolute minimum: 0 at  
D. Absolute maximum: 16 at    absolute minimum: 8 at  

Mathematics

Find the equation of an ellipse that contains the following points.(-1, 6), (-1, -4), (7, 1), (-9, 1)

A.  +   = 1
B.  +   = 1
C.  +   = 1
D.  +   = 1

Mathematics

Solve the problem.A museum curator collects fossils from two different periods. He has 500 from one period and 255 from a later period. He plans to arrange the fossils in display cases so that each case contains the same number of fossils. Also, each case must contain fossils from only one period. What is the largest number of fossils that can be placed in each case?

A. 255 B. 25,500 C. 500 D. 5

Mathematics

-15 ? 7x - 8 ? 13

A. [-1, 3)
 
B. [-1, 3]
 
C. (-1, 3)
 
D. (-1, 3]
 

Mathematics