Which statements are true of the function f(x) = 3(2.5)x? the function is exponential. the initial value of the function is 2.5. the function increases by a factor of 2.5 for each unit increase in x. the domain of the function is all real numbers. the range of the function is all real numbers greater than 3.

Solve this system of equations. 12x − 18y = 27 4x − 6y = 10

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.

Lena reflected this figure across the x-axis. she writes the vertices of the image as a'(−2, 8), b'(−5, 6), c'(−8, 8), d'(−4, 2).