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 6 vertices, two of degree 2, three of degree 1, and one of degree 3.
A. 5 edges
B. 10 edges
C. 6 edges
D. 20 edges
Answer: A
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Solve the equation. Determine if the equation is an identity, a contradiction, or a conditional equation.27x + 2(x + 1) = 29(x + 1) - 27
A. ?; contradiction
B. ; identity
C. {29}; conditional
D. {27}; conditional
Use two equations in two variables to find the following integers.The sum of two integers is 40 and their difference is 18.
A. 10, 30 B. 9, 27 C. 11, 27 D. 11, 29 E. 9, 30
Solve the problem.From a thin piece of cardboard 10 in. by 10 in., square corners are cut out so that the sides can be folded up to make a box. What dimensions will yield a box of maximum volume? What is the maximum volume? Round to the nearest tenth, if necessary.
A. 6.7 in. × 6.7 in. × 3.3 in.; 148.1 in3 B. 5 in. × 5 in. × 2.5 in.; 62.5 in3 C. 3.3 in. × 3.3 in. × 3.3 in.; 37 in3 D. 6.7 in. × 6.7 in. × 1.7 in.; 74.1 in3
Sketch the surface z = f(x,y).f(x, y) = 4x2 + 4y2 + 2
A.
B.
C.
D.