Which of the functions below have exactly two distinct real zeros?

1. f(x) = -x2 + 14x – 45

II. f(x) = 4x2 + 4

III. f(x) = 2x2 + 12x + 18

IV. f(x) = 3x2 - 4x - 4

Which of the binomials below is a factor of this trinominal? x^2-13+30

The number of branches on a tree demonstrates the fibonacci sequence. how many branches would there be on the next two levels of this tree? 13 | | | m branches

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.