Solve the problem.How many spanning trees does the following network have?

A. 6
B. 7
C. 4
D. 5
E. none of these


Answer: A

Mathematics

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Graph the quadratic function. Determine the vertex, find the equation of the axis of symmetry, find any x- and y-intercepts, and state the domain and range in interval notation.f(x) = -x2 + 2x

A. vertex: (1, 1)
axis of symmetry: x = 1
x-intercepts: 0 and 2; y-intercept: 0
domain: (-?, ?); range: (-?, 1]
 
B. vertex: (-1, 1)
axis of symmetry: x = -1
x-intercepts: 0 and - 2; y-intercept: 0
domain: (-?, ?); range: (-?, 1]
 
C. vertex: (1, -1)
axis of symmetry: x = 1
x-intercept: none; y-intercept: -2
domain: (-?, ?); range: (-?, -1]
 
D. vertex: (-1, -1)
axis of symmetry: x = -1
x-intercept: none; y-intercept: -2
domain: (-?, ?); range: (-?, -1]

Mathematics

Find the quadratic approximation of f at x = 0.f(x) = tan 3x

A. Q(x) = 1 + x2
B. Q(x) = 3x
C. Q(x) = 1 + 3x2
D. Q(x) = 1 - x2

Mathematics

Write the expression in the standard form a + bi.(7 - 3i) + (5 + 6i)

A. -12 - 3i B. 12 + 3i C. 12 - 3i D. 2 + 9i

Mathematics

Solve the problem.The local hardware store has shelf space for, at most, 30 boxes of wood screws and drywall screws. The owner wants at least 14 boxes of wood screws and 4 boxes of drywall screws. Graph the possible stock arrangements and find the vertices. 

A.

B.

C.

D.

Mathematics