Factor completely.80 - 104x - 24x2 

A. (8x + 40)(-3x + 2)
B. -8(x - 5)(3x + 2)
C. (x + 5)(-24x + 16)
D. -8(x + 5)(3x - 2)


Answer: D

Mathematics

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Find T, N, and B for the given space curve.r(t) = (t2 - 9)i   + (2t - 5)j  + 2k 

A. T = i  + j; N = i  - jB = -k
B. T = i  + j; N = i  - jB = -k
C. T = i  + j; N = i  - jB = k
D. T = i  - j; N = - i  - jB = -k

Mathematics

Determine whether the graph is that of a function. If it is, use the graph to find its domain and range, the intercepts, if any, and any symmetry with respect to the x-axis, the y-axis, or the origin.

A. function domain: {x|x > 0} range: all real numbers intercept: (1, 0) symmetry: none B. function domain: all real numbers range: {y|y > 0} intercept: (1, 0) symmetry: none C. function domain: {x|x > 0} range: all real numbers intercept: (0, 1) symmetry: origin D. not a function

Mathematics

Find an equation for the ellipse described. Graph the equation.Foci at (1, 4) and (-5, 4); vertex at (-8, 4)

A.  +  = 1

B.  +  = 1

C.  +  = 1

D.  +  = 1

Mathematics

Determine the intervals on which the function is increasing, decreasing, and constant.

A. Increasing on (1, 3); Decreasing on (-2, 0) and (3, 5); Constant on (2, 5)
B. Increasing on (-1, 0) and (3, 5); Decreasing on (0, 3); Constant on (-5, -3)
C. Increasing on (-2, 0) and (3, 4); Decreasing on (-5, -2) and (1, 3)
D. Increasing on (-2, 0) and (3, 5); Decreasing on (1, 3); Constant on 

Mathematics