Identify the type of conic section.Identify the type of conic section consisting of the set of all points in the plane for which the distance from the point (0, 18) is twice the distance from the line y = 3.

A. Circle
B. Ellipse
C. Hyperbola
D. Parabola


Answer: C

Mathematics

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Round the number so that there is only one nonzero digit.662,337

A. 500,000 B. 600,000 C. 1,000,000 D. 700,000

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Solve the rational inequality.x +  < 8

A. (-?, 0) ? (6, ?) B. (0, 2) ? (6, ?) C. (-?, 0) ? (2, 6) D. (0, 2) ? (2, 6)

Mathematics

Solve the system of nonlinear equations using the method of elimination.

A. (-2, 6), (-2, 2), (-3, -4 + ), (-3, -4 - )
B. (-2, 6), (-2, 2), (-3, 4 + ), (-3, 4 - )
C. (-2, 6), (-2, 2), (3, -4 + ), (3, -4 - )
D. (-2, -6), (-2, -2), (-3, -4 + ), (-3, -4 - )

Mathematics

Analyze the graph of the given function f as follows:(a) Determine the end behavior: find the power function that the graph of f resembles for large values of |x|.(b)  Find the x- and y-intercepts of the graph.(c)  Determine whether the graph crosses or touches the x-axis at each x-intercept.(d)  Graph f using a graphing utility.(e)  Use the graph to determine the local maxima and local minima, if any exist. Round turning points to two decimal places.(f) Use the information obtained in (a) - (e) to draw a complete graph of f by hand. Label all intercepts and turning points.(g)  Find the domain of f. Use the graph to find the range of f.(h)  Use the graph to determine where f is increasing and where f is decreasing.f(x) = x2(x + 3)

What will be an ideal response?

Mathematics