Provide an appropriate response.Can a tangent line to a graph intersect the graph at more than one point? If not, why not. If so, give an example.
What will be an ideal response?
Yes, a tangent line to a graph can intersect the graph at more than one point. For example, the graph 
has a horizontal tangent at x = 0. It intersects the graph at both (0, 0) and (2, 0).
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Write an expression for the general or nth term, an, for the geometric sequence.-2, 6, -18, 54, . . .
A. an = -2 ? (-3)n-1 B. an = 2 ? (-3)n C. an = -2 ? 3n D. an = 2 ? (-3)n-1
Provide the appropriate response.Suppose that the complete graph of a cubic function shows that -3, 3, and 8 are the x-intercepts, and the end behavior is described by f(x) ? ? as x ? -? and f(x) ? -? as x ? ?. Find the solution set of f(x) < 0.
A. (-?, -3) ? (3, 8) B. (-?, -3) ? (8, ?) C. (-3, 8) D. (-3, 3) ? (8, ?)
Provide an appropriate response.The table below describes the smoking habits of a group of asthma sufferers.
If one of the 1038 subjects is randomly selected, find P(H), the probability that the person is a heavy smoker. Then find P(M), the probability that the person chosen is a man. Then find P(H ? M), the probability that the person is a heavy smoker and a man. Are the events "being a heavy smoker" and "being a man" independent? How can you tell?
What will be an ideal response?
Add.(-9y2 - 20y + 19) + (2y2 + 2y).
A. -7y2 - 18y + 19 B. -7y4 - 18y2 + 19 C. -7y2 - 18y - 19 D. -25y6 + 19