Multiply.(x + 3)(x2 - x + 9)

A. x3 + 2x2 + 27
B. x3 + 27
C. x3 + 2x2 + 6x + 27
D. x3 + 4x2 + 12x + 27


Answer: C

Mathematics

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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 Functionz = 7x + 9yConstraintsx ? 0 0 ? y ? 5 2x + 3y ? 12 2x + 3y ? 20

A. Maximum: 59; at (2, 5) B. Maximum: 70; at (10, 0) C. Maximum: -28; at (4, 0) D. Maximum: 42; at (6, 0)

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Decompose v into two vectors v1 and v2, where v1 is parallel to w and v2 is orthogonal to w.v = -3i - 5j,w = 2i - j

A. v1 = - i - jv2 = i - j
B. v1 = - i - jv2 = - i - j
C. v1 = - i - jv2 = - i - j
D. v1 = - i - jv2 = - i - j

Mathematics

Select a direction field for the differential equation from a set of direction fields labeled I-IV.

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Use the functions given by  and g(x) = x3 to find (f º g)-1. ?

A.
B.
C.
D.
E.

Mathematics