Use mathematical induction to prove that the statement is true for every positive integer n. show your work.

2 is a factor of n2 - n + 2

Drag each scenario to show whether the final result will be greater than the original value, less than the original value, or the same as the original value. 1. a 25% decrease followed by a 50% increase 2. a 20% decrease followed by a 25% increase

Which product is positive a is 2/5 -8/9 -1/3 -2/7 b is -2/5 8/9 -1/3 -2/7 c is 2/5 8/9 1/3 -2/7 d is -2/5 -8/9 1/3 2/7

Find the distance from the theater to the library. leave your answer in simplest radical form if necessary. 12 √12 74 √74