Which of the following statements are equivalent to the statement "price decreased by 25%"? choose all correct answers. (a) the price doubled (b) the price is 150% of the price before (c) the price was reduced by a quarter (d) the price became a half of what it was before (e) the price is now 1.5 of what it was before (f) the price now is 66 2/3 % of what it was before (g) the price now is 200% of what it was before (h) the price is 75% of what it was before

Find the value of p for which the polynomial 3x^3 -x^2 + px +1 is exactly divisible by x-1, hence factorise the polynomial

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.

Sanjay solved the equation below. which property did he use to determine that 7x+42=42 is equivalent to 7(x+6)=42 7x+42=42 7x=0 x=0