The square of one number is 23 less than the square of a second number. If the second number is 1 more than the first, what are the two numbers? If x represents the smaller number, then which of the following quadratic equations represents the word problem? (x + 23)^2 = x^2 + 2x + 1
x^2 +23 = x² +1
x^2+23 = x^2 + 2x + 1​

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.