MathDB

Problem 5

Part of 2019 LIMIT Category B

Problems(2)

inequality with parameter

Source: LIMIT 2019 CBS1 P5

4/28/2021
The set of values of mm for which mx2−6mx+5m+1>0mx^2-6mx+5m+1>0 for all real xx is <spanclass=′latex−bold′>(A)</span> m<14<span class='latex-bold'>(A)</span>~m<\frac14 <spanclass=′latex−bold′>(B)</span> m≥0<span class='latex-bold'>(B)</span>~m\ge0 <spanclass=′latex−bold′>(C)</span> 0≤m≤14<span class='latex-bold'>(C)</span>~0\le m\le\frac14 <spanclass=′latex−bold′>(D)</span> 0≤m<14<span class='latex-bold'>(D)</span>~0\le m<\frac14
inequalitiesparameterization
polygon has twice as many diagonals as it has sides

Source: LIMIT 2019 CBS2 P5

4/28/2021
A polygon has twice as many diagonals as it has sides. How many sides does it have?
geometry