Find an equation of a parabola satisfying the given conditions.Focus at (-5, -1), directrix y = 9

A. (y + 5)2 = -20(x - 4)
B. (x + 5)2 = -20(y + 4)
C. (y + 5)2 = -20(x + 4)
D. (x + 5)2 = -20(y - 4)


Answer: D

Mathematics

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Find a formula for the nth partial sum of the series and use it to find the series' sum if the series converges. +  +  + ... +  + ...

A.
B.
C.
D.

Mathematics

Give all possible rational zeros for the polynomial.f(x) = x3 - 9x2 + 4x - 24

A. ±1, ± , ±2, ±3, ±4, ±6, ±8, ±12, ±24
B. ±1, ±2, ±3, ±4, ±6, ±12, ±24
C. ±1, ±2, ±3, ±4, ±6, ±8, ±12, ±24
D. ±1, ±2, ±3, ±4, ±24

Mathematics

The augmented matrix is given for a system of equations. If the system is consistent, find the general solution. Otherwise state that there is no solution. 

A. x1 = -7 - 4x2 - 5x4 x2 is free x3 = -4 - 4x4 x4 is free B. x1 = -7 - 4x2 - 5x3 x2 = -4 - 4x3 x3 is free C. x1 = - 4x2 +2x3 + 3 x4 + 1 x2 is free x3 = -4 - 4x4 x4 is free D. x1 = -7 - 4x2 - 5x4 x2 is free x3 = -4 - 4x4 x4 = 0

Mathematics

Solve the equation for all complex solutions, giving exact forms in your solution set.-2x3 + 2x2 + 8x - 8 = 0

A. {-2, -1, -2} B. {-2, 1, 2} C. {2, 1, 2} D. {2, -1, -2}

Mathematics