Provide an appropriate response.Explain in your own words how you can tell from the equation whether the graph is an ellipse or a hyperbola.
What will be an ideal response?
In the equation of an ellipse, the x2- and y2-terms both have positive coefficients. In the equation of a hyperbola, one squared term has a negative coefficient (either x2 or y2 but not both).
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Perform the indicated operations, expressing the answer in simplest form with rationalized denominators.
A.
B.
C.
D. 1
In the sense used in the textbook, which of the following would be not classified as an innovation?
A. the development of a unique wind-resistant glass for commercial and residential buildings B. implementing a method of marketing medical services to a new population C. the creation of a new database management system for an organization D. increasing the efficiency of a manufacturing plant by running two shifts of workers
Solve the problem.The following numerical representation for f computes the average number of hours of television watched per day based on year of birth x.Give a numerical representation for a function g that computes the average number of hours of television watched per day for the year x, where
corresponds to the birth year 1975. Write an equation that shows the relationship between f(x) and g(x).
A.
f(x) = g(x - 1900)
B.
f(x) = g(x - 1975)
C.
f(x) = g(x + 1975)
D.
f(x) = g(x) - 1975
Solve the problem.Find the area of the region in the first quadrant bounded on the left by the y-axis, below by the line above left by
and above right by y = -x2 + 10.
A.
B.
C. 15
D.