Aman stands at a point a on the bank of a straight river, 3 mi wide. to reach point b, l = 9 mi downstream on the opposite bank, he first rows his boat to point p on the opposite bank and then walks the remaining distance x to b, as shown in the figure. he can row at a speed of 2 mi/h and walk at a speed of 5 mi/h.

(a) find a function that models the time t needed for the trip.
(b) where should he land so that he reaches b as soon as possible? (round your answer to two decimal places.)

Li buys supplies so he can make and sell key chains. he begins to make a profit only after he sells 4 key chains. what point on the graph makes the most sense in this situation?

17. a researcher measures three variables, x, y, and z for each individual in a sample of n = 20. the pearson correlations for this sample are rxy = 0.6, rxz = 0.4, and ryz = 0.7. a. find the partial correlation between x and y, holding z constant. b. find the partial correlation between x and z, holding y constant. (hint: simply switch the labels for the variables y and z to correspond with the labels in the equation.) gravetter, frederick j. statistics for the behavioral sciences (p. 526). cengage learning. kindle edition.

How many ordered pairs of positive integers satisfy xy=32?