Solve the equation. Write complex solutions in standard form.x2 + x + 3 = 0

A.  ± i
B. -  ± i
C. 1 ± i
D. -1 ± i


Answer: B

Mathematics

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Graph the equation. Include the coordinates of any local extreme points and inflection points.y = 

A. absolute maximum: 
no inflection point

B. local minimum: (3, -1)
local maximum: (-3, 1)
inflection point: (0, 0)

C. local minimum: 
local maximum: 
inflection point: (0,0)

D. local minimum: (-3, -1)
local maximum: (3, 1)
inflection points: (0, 0), (-3, -),
 (3)

Mathematics

The figure below is a square ABCD with center O. (M, N, P, and Q are the midpoints of the sides.) Which of the following reflections is not a symmetry of the square?

A. the reflection with axis the line passing through P and Q B. the reflection with axis the line passing through A and C C. the reflection with axis the line passing through A and B D. the reflection with axis the line passing through M and N E. all of these are symmetries of the square.

Mathematics

Find the relative extrema, if any, of the function. Use the second derivative test, if applicable. ? ?

A. Relative maximum:  f (1)  =  6 B. Relative maximum:  f (0)  =  2 C. Relative minimum:  f (0)  =  2 D. Relative minimum:  f (1)  =  6 E. none

Mathematics

Find the equation of variation if the following is true.Suppose p varies directly as q and p = 1 when q = .

A. p = 17q
B. p = 19q
C. p = q
D. p = 18q

Mathematics