So yes a mixed reef is a combination of sps, lps, softies, etc. Usually mixed reefs have sps from mid to top while lps and softes from mid to bottom.
Since each of these corals thrive best in there own conditions, this is what makes mixed reefs particularly difficult. Usually people try to find a sweet spot. I have heard people run nitrates around 5-10 and phosphate around .05 for mixed reefs and it works well. Recently more and more results have been seen by running nutrients slightly higher with sps than compared in the past.