Determine the real solutions to the system of nonlinear equations.x2 + y2 = 169x + y = 17
A. (-12, 5), (-5, 12)
B. (-12, -5), (-5, -12)
C. (12, 5), (5, 12)
D. (12, -5), (5, -12)
Answer: C
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Perform the indicated operation. Where possible, reduce the answer to its lowest terms. +
A.
B.
C.
D.
Find the vertex, focus, and directrix of the parabola.y2 = 32x
A. Vertex: V(0, 0); focus: F(8, 0); directrix: x = 8 B. Vertex: V(0, 0); focus: F(8, 8); directrix: x = 8 C. Vertex: V(0, 0); focus: F(0, 8); directrix: y = -8 D. Vertex: V(0, 0); focus: F(8, 0); directrix: x = -8
Graph the function in a viewing window that shows all of its extrema and x-intercepts.f =
3
A.
B.
C.
D.
If we model after-tax household income by a normal distribution, then the figures of a 1995 study imply the information in the following table. Assume that the distribution of incomes in each country is bell-shaped and symmetric. Find the percent of canadian families which earned an after-tax income of $69,000 or more. CountryU.S.CanadaSwitzerlandGermanySwedenMean Household Income$38,000$35,000$39,000$34,000$32,000Standard Deviation$21,000$17,000$16,000$14,000$11,000?
A. 5% B. 95% C. 47.5% D. 2.5% E. 99.7%