The length and width of a rectangle are given by f(x) = 3x2 - 2x and g(x) = 2x - 3, where x > 2. What
is fg and what does its value represent?

A. (f. g)(x) = 12x2 - 40x + 33; the area of the rectangle
B. (f. g)(x) = 12x2 - 40x + 21; the perimeter of the rectangle

C. (f. 9)(x) = 6x3 - 13x2 + 6x; the area of the rectangle
D. (f. g)(x) = 6x3 - 9x2 + 2x; the area of the rectangle

At the olympic games, many events have several rounds of competition. one of these events is the men's 100-meter backstroke. the upper dot plot shows the times (in seconds) of the top 8 finishers in the final round of the 2012 olympics. the lower dot plot shows the times of the same 8 swimmers, but in the semifinal round. which pieces of information can be gathered from these dot plots? (remember that lower swim times are faster.) choose all answers that apply: a: the swimmers had faster times on average in the final round. b: the times in the final round vary noticeably more than the times in the semifinal round. c: none of the above.