The function f(x) = 3x − 2 represents the altitude of a hot air balloon, where x is the time in minutes. The function g(x) = x2 − 1 represents the time in minutes, where x is the height in thousands of feet of the hot air balloon. What is the value of f[g(5)]?

Which basic geometric term has no width, no length, and no thickness? line b. point c. angle d. plane

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.

Rewrite the following quadratic functions in intercept or factored form. show your work. f(x) = 3x^2 - 12