Use the discriminant to identify the graph of the non-degenerate conic as a parabola, an ellipse, or a hyperbola.2x2 + 8xy + 8y2 - 4x + 6y = 0

A. hyperbola
B. ellipse
C. parabola


Answer: C

Mathematics

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Assume that f is an even function, g is an odd function, and both f and g are defined on the entire real line. State whether the combination of functions (where defined) is even or odd.g ? f

A. Even B. Odd

Mathematics

Translate the problem to a system of equations; then solve using the elimination method.Mardi received an inheritance of $70,000. She invested part at an APR of 8 percent and deposited the remainder in tax-free bonds at an APR of 10 percent. Her total annual income from the investments was $6200. Find the amount invested at 8 percent.

A. $40,000 B. $63,800 C. $39,000 D. $20,000

Mathematics

Find the tax. Use $3700 for each personal exemption; a standard deduction of $5800 for single people, $11,600 for married people filing jointly, $5800 for married people filing separately, and $8500 for head of a household; and the tax rate schedule. Jennifer Binh is single and claims one exemption. Her salary last year was $93,074, and she had other income of $6256 and interest income of $8353. She has adjustment to income of $2486 for an IRA contribution. Her itemized deductions are $4122 in mortgage interest, $2408 in state income tax, $1586 in real estate taxes, and $806 in charitable contributions.

A. $19,268.75 B. $19,538.00 C. $20,412.16 D. $22,036.16

Mathematics

Solve the problem.Find any local extrema (maxima, minima, or saddle points) of    given that   and  

A. Local minimum at 
B. Local maximum at 
C. Local minimum at  
D. Saddle point at  

Mathematics