It's a mathematical induction type of problem:
Prove that for all integers:
133 | 11^(n+2) + 12^(2n+1) where 133 here is divider of 11^(n+2) + 12^(2n+1)

So far I've checked statement to be true for n=1 and n=k
133 | 11^(k+2) + 12^(2k+1)
11^(k+2) + 12^(2k+1) = 133m

but I have a problem with proving n=k+1

Match each inequality to the number line that represents its solution

17. a researcher measures three variables, x, y, and z for each individual in a sample of n = 20. the pearson correlations for this sample are rxy = 0.6, rxz = 0.4, and ryz = 0.7. a. find the partial correlation between x and y, holding z constant. b. find the partial correlation between x and z, holding y constant. (hint: simply switch the labels for the variables y and z to correspond with the labels in the equation.) gravetter, frederick j. statistics for the behavioral sciences (p. 526). cengage learning. kindle edition.

[15 points, algebra 2]simplify the complex fraction and find the restrictions.