Originally Posted by

**HallsofIvy** 1, 3, 3, 3, 5, 5, 5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 11. Just count!

Or:

1 occurs 1 time

3 occurs 3 times

5 occurs 5 times

7 occurs 7 times

9 occurs 9 times

so 11 occurs after 1+ 3+ 5+ 7+ 9 other numbers.

"Let the function g be defined by $\displaystyle g(x)= x^2+ 4$. If **p** is a positive number such that $\displaystyle g(2m)= g(m)+ 22$ which of the following could be a value of m?"

There's an obvious typo in this problem. They must mean "If m is a positive number...".

$\displaystyle g(2m)= (2m)^2+ 4= 4m^2+ 4$. g(2m)= g(m)+ 22 becomes $\displaystyle 4m^2+ 4= (m^2+ 4)+ 22$. Solve that equation for m.

Your other problem appears to be just a copy of that.

As for your random question, "Also, the forumula $\displaystyle \frac{p}{q}$ is used to solve polynomials correct? Polynomials and or Binomials?", I can make no sense out of it. First, $\displaystyle \frac{p}{q}$ is a not a "formula", it is just a fraction or, more generally, an "expression". Second, you don't "solve polynomials", you solve polynomial equations. Most importantly, since you have not said what "p" and "q" are, or how they are connected to the equation, I don't know how you would intend to use $\displaystyle \frac{p}{q}$ to solve the equation.