Which of the following functions f : {0, 1, 2, 3} ! {0, 1, . . , 7} are one-to-one?
1) f(x) = x2 mod 8
2) f(x) = x3 mod 8
3)f(x)=(x^3-8) mod 8

4)f(x)=(x^3+2x) mod 8

5) f(0) = 3, f(1) = 1, f(2) = 4, f(3) = 1

Angle that produces maximum distance

For the right triangle shown, the lengths of two sides are given. find the third side. leave your answer in simplified, radical form.

The bottom of ignacio's desktop is 74.5cm from the floor. ignacio's sits in his adjustable chair, and the tops of his legs are 49.3cm from the floor. each clockwise rotation of the knob on the chair raises ignacio's legs by 4.8cm. write an inequality to determine the number of clockwise rotations, r, ignacio could make with the knob without his legs touching the desk