Prove that acb if and only if anb a 2. if bca, prove that b a\ (a\b) 3. if f: a- b and e, fc a show that: a. f(euf) f(e) uf (f) b. f (enf)f(e)nf (f) 4. prove that: 13+23 +.+ n3 = [; n (n+ 1)]2 vn en (use mathematical induction)

All per-unit concepts rely on ratios,meaning,to provide a type of measurement

When the solutions to each of the two equations below are graphed in the xy-coordinate plane, the graphs of the solutions intersect at two places. write the y-cordninates of the points of intersection in the boxes below in order from smallest to largest. y=2x y=x^2-3

James was playing a game with his friends. he won 35 points. then he lost 15, lost 40 and won 55. how did he come out