Let A and B be sets, let R and S be relation on A and B, respectively, and let f:A be a function. The function f is relation preserving if x R y if and only if f(x) S f(y), for all x, y∈A. (1) suppose that f is bijective and relation preserving. Prove that f^(-1) is relation preserving.

The box plot shows the number of raisins found in sample boxes from brand c and from brand d. each box weighs the same. what could you infer by comparing the range of the data for each brand? a) a box of raisins from either brand has about 28 raisins. b) the number of raisins in boxes from brand c varies more than boxes from brand d. c) the number of raisins in boxes from brand d varies more than boxes from brand c. d) the number of raisins in boxes from either brand varies about the same.

Is the power produced directly proportional to the wind speed, give reasons for your answer?

The point a is at –2 and the point b is at 7. marissa would like to divide this line segment in a 4: 3 ratio, and she would like to use the formula x = (x2 – x1) + x1. what values should she substitute into the formula? a = a + b = x1 = x2 =