Provide an appropriate response.If h(x) = 
, find functions f and g such that h(x) = f(g(x)).
What will be an ideal response?
f(x) = 
, g(x) = x2. (Other answers are possible.)
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Solve the problem.In order to make a three-day drive to your hometown for a family reunion, you estimate that you should drive x hours each day. On the first day, you get a late start, plus you end your driving for the day earlier than you had planned, so you lose 3 hours of driving time. On the second day, your stop for lunch is longer than you had anticipated, because in addition to eating, you visit an attraction that catches your interest. As a result, you lose 6 hours of driving time. On day three, you start early and double your planned driving time to arrive at your destination by late evening. If your total driving time for the trip was one hour more than you expected, and you had predicted a steady driving speed of src="https://sciemce.com/media/4/ppg__2720709191425__f1q46g1.jpg" alt="" style="vertical-align: -4.0px;" />, how many miles did you expect to drive each day?
A. 650 miles
B. (4x - 9) miles
C. 780 miles
D. (4x - 10) miles
Find the mode for each data set.96, 96, 94, 32, 72, 96
A. 96 B. 32 C. 94 D. no mode
Solve the problem.Fred is in a row boat that is 6 miles from the shore of a lake. He wants to get to his house, which is 19 miles down the shore, as shown below. He will row to shore and then jog the remaining distance along the shore. He can row at 3 miles per hour and can jog at 6 miles per hour. At about what point along the shore should he beach the boat and jog the rest of the way if he wants to get home as soon as possible? Round your answer to the nearest tenth of a mile, if necessary.6 miles
? 19 miles
A. 15.5 miles from home B. 7.2 miles from home C. 17.6 miles from home D. 13.2 miles from home
Name the polygon.
A. hexagon B. quadrilateral C. heptagon D. octagon