Suppose you draw n lines in the plane so that every pair of lines cross (no lines are parallel) and no three lines cross at the same point. This will create some number of regions in the plane, including some unbounded regions. Call the number of regions R n . Find a recursive formula for the number of regions created by n lines, and justify why your recursion is correct.

Sandy is upgrading her internet service. fast internet charges $20 for installation and $52.45 per month. quick internet has free installation but charges $57.45 per month. part 1 out of 2 complete the equation that can be used to find the number of months after which the internet service would cost the same. use the variable x to represent the number of months of internet service purchased.

Witch sequence shows a pattern where each term is 1.5 times the previous term

Given the equation    = 5, solve for x and identify if it is an extraneous solution