Let [a, b] ⊆ ℝ be a close bounded interval, and let f : [a, b] → [a, b] be a function. suppose that f is continuous. prove that there is some c ∈ [a, b] such that f(c) = c. the number c is called a fixed point of f.

Ateacher asked his students to vote for an animal to be their class pet. five-eighteenths of the students voted for a rabbit, voted for a snake, and voted for a hamster. which statement is true? more students voted for a hamster than a snake. more students voted for a snake than a rabbit. more students voted for a rabbit than a hamster. more students voted for a snake than a hamster.

How many solutions does the nonlinear system of equations graphed bellow have?

Find the magnitude, correct to two decimal places, made by each of the following with positive direction of the x axis a) y= x the answer is 45° but i don’t know how