Identify a counterexample to disprove 6n> n^2/6,where n is a real number.

Aresearcher believes increased perceived control influence the well-being of residents at a nursing home. to test this , she allowed one group of residents to have control over their daily lies, (where to eat etc) . the other group of 5 residents had these deceisions made by staff. the resident's feelings of well-being were measured on a 10 point scale at the end of a one month trial period. is there a difference on well-being?

Multiply the polynomials (x+3)(x^2-6x+5)

If we draw lines to join each given point to the origin, identify the points whose corresponding line has a slope that is an integer value.