Use the equation and the corresponding graph for the quadratic function to find what is requested.f(x) = -2(x - 5)2 + 1Find the domain and range.

A. Domain: (-?, 1]; Range: (-?, ?)
B. Domain: (-?, ?); Range: [1, ?)
C. Domain: (-?, ?); Range: (-?, 1]
D. Domain: (-?, ?); Range: (-?, ?)


Answer: C

Mathematics

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Factor completely. If the polynomial is prime, state so.512x3y6 - 72x6y3

A. 8x3y3(4y + 3x)(16y2 - 12xy + 9x2) B. 8x3y3(4y - 3x)(16y2 + 12xy + 9x2) C. 8(4xy2 + 3x2y)(16x2y4 - 12x3y3 + 9x4y2) D. 8x3y3(64y3 - 9x3)

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Solve the problem.A club contains 7 women and 4 men. The club wants to select a committee of three to organize a fund drive. How many of the possible committees contain at least one man?

A. 165 B. 161 C. 130 D. 4

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Write the equation in standard form for an ellipse or a hyperbola centered at (h, k).6x2 + 4y2 + 16y - 8 = 0

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

Mathematics

An objective function and a system of linear inequalities representing constraints are given. Graph the system of inequalities representing the constraints. Find the value of the objective function at each corner of the graphed region. Use these values to determine the maximum value of the objective function and the values of x and y for which the maximum occurs.Objective Function z = 6x + 7yConstraints x ? 0 y ? 0 2x + 3y ? 12 2x + y ? 8

A. maximum 32; at (2, 3) B. maximum 24; at (4, 0) C. maximum 32; at (3, 2) D. maximum 52; at (4, 4)

Mathematics