4 For the sequence u, n = 2n^2 - 5n +3, determine:

a) the value of n for which u, n = 45​

What is the equation of a line passing through the point (6,1) and parallel to the line whose equation 3x=2y+4

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.

Your food costs are $5,500. your total food sales are $11,000. what percent of your food sales do the food costs represent?