Describe the transformations and give the equation for the graph.

A. It is the graph of f(x) =  stretched vertically by a factor of 9 and translated 2 units down. The equation is y = 9 - 2
B. It is the graph of f(x) =  shrunken vertically by a factor of 9 and translated 2 units down. The equation is y =  - 2
C. It is the graph of f(x) =  stretched vertically by a factor of 9 and translated 2 units down. The equation is y =  + 2
D. It is the graph of f(x) =  shrunken vertically by a factor of 9 and translated 2 units down. The equation is y = 9 + 2


Answer: A

Mathematics

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Answer the question.You are hiking on a mountainside, following a trail that slopes downward for a short distance and then begins to climb again. At the bottom of this local "dip", what can be said about the relationship between the trail's direction and the contour of the mountainside? [Hint - Think of the trail as a constrained path, g(x, y) = c, on the mountainside's surface, altitude = f(x, y). Consider only infinitesimal displacements.]

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A. II B. III C. I D. None

Mathematics

A child has an enormous jar in which she has been saving all of her spare change. In order to determine exactly how much money she has in the jar, she dumps all of the coins on the floor and counts them. Under the watchful eye of her mother, she counts 180 pennies, 120 nickels, 100 dimes, and 80 quarters.The sampling proportion in this survey is

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Mathematics

Find the product. Simplify before performing the multiplication. ? 

A.
B.
C.
D.

Mathematics