Question

Which amounts of money can be formed using just two dollar bills and five-dollar bills? Prove your answer using strong induction. Let E(m) be the statement that in a triangulation of a simple polygon with n sides, at least one of the triangles in the triangulation has two sides bordering the exterior of the polygon

words"like determine','obtain',construct,or show request proof. please show your work thanks!

Answer 1

Dete Awwer he aunbuntol monet flat can be torned wodollasard ive dollar lls are war omtbr na fous 2x+ 5 서의 orvne t-e. 210) +5(0) 2)50)2 2(2) + s(0) 2(0)大50):5 2(3)5()6 20) + 50)- 2(4)o) 8 (2) 5 2(0) t 5(2)=10 =0 two.dollass and kivc- doloills To prove: n dellars can be n 24

)Dete have to broe tlus t rn) be a tatimnt sut hot PCn dallass ton be jormud tou Let a b two-dolar and ddtor bils f(4) ú truu because dollarscab orvud sH 2 to -delas bills 2(2)こ千 rue,berause 5 dollass can be dellosit S) ae all rus all ambuts from 4 to k and fve- delan bill toe proue tuat 『(k41) u also Tu'. Suite rek-I) is true, rck+1 )-ts_一also true because 1 too-dol Ian bill can be addid to rk-) to lorm Pkt) nzue unec ucs ros