Provide an appropriate response.Suppose that a polynomial function P is defined in such a way that 
and P(7) = 3. Can we be certain that there is no zero between -1 and 7? Explain using a graph.
What will be an ideal response?
No, we can't be certain. The intermediate value theorem does not apply in this case. Consider the following graph. (Graphs shown may vary.)
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Solve the problem.A person's hair length varies proportionately with the number of weeks it has been growing. If Fred shaved his head bald and his hair was 0.2 inches long after 4 weeks, how long would it be after an additional 12 weeks? Round to the nearest hundredth of an inch.
A. 2.40 in. B. 3.20 in. C. 0.60 in. D. 0.80 in.
List all equally likely outcomes in the sample space for the indicated experiment.Two people, each with a well shaken box containing 3 slips of paper labeled rock, paper, and scissors, draw one slip each.
A. {(r, p), (r, s), (p, r), (p, s), (s, r), (s, p)} B. {(r, p), (r, s), (p, s)} C. {(r, r), (r, p), (r, s), (p, r), (p, p), (p, s), (s, r), (s, p), (s, s)} D. {(3, 3)}
Convert as indicated.84 in. to feet
A. 7 ft
B. 252 ft
C. 28 ft
D. 
ft
Prepare a probability distribution for the experiment. Let x represent the random variable, and let P represent the probability.Three coins are tossed, and the number of heads is noted.
A. 
B. 
C. 
D. 