Factor by grouping.15x2 - 6xy + 10xy - 4y2

A. (3x - 2y)(5x - 2y)
B. (3x + 2)(5x - 2)
C. (15x + 2y)(x - 2y)
D. (3x + 2y)(5x - 2y)


Answer: D

Mathematics

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A function f(x), a point x0, the limit of f(x) as x approaches x0, and a positive number ? is given. Find a number  such that for all x, 0 <  < ? ?  < ?.f(x) = , L = 3, x0 = 6, and ? = 1

A. 16 B. 5 C. 4 D. 7

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Find all the second partial derivatives.f(x, y) = xy2 + yex2 + 5

A.  = 2yex2 = 2x;   =  = 2xex2
B.  = 2yex2 = 2x;   =  = 2y + 2xex2
C.  = yex2(1 + 2x2);  = x;   =  = y + xex2
D.  = 2yex2(1 + 2x2);  = 2x;   =  = 2y + 2xex2

Mathematics

1.3594 to the nearest thousandth

A. 1.359 B. 1.36 C. 1.358 D. 1.360

Mathematics

Solve the equation.0.8x - 0.4(80 + x) = -0.2(80)

A. {50} B. {20} C. {30} D. {40}

Mathematics