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![\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\diamond](https://img.qammunity.org/2023/formulas/mathematics/high-school/jt0zb87xo62mbvm4z0epbjkkpt2znif5it.png)
Which expression has least value when x=100?
![\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}\diamond](https://img.qammunity.org/2023/formulas/mathematics/high-school/ops23xlfnhp7nibptwgw69udqec0uciw9z.png)
Substitute 100 for x and solve:-
![\bold{(1)/(100)}](https://img.qammunity.org/2023/formulas/mathematics/high-school/z2bdo6o9u9nrqqxzhen2ncuaxav1g8am4m.png)
![\bold{(10)/(100)}](https://img.qammunity.org/2023/formulas/mathematics/high-school/6d81diiizwusf85kv918j2ohc4tjc93b2c.png)
![\bold{1-100=-99}](https://img.qammunity.org/2023/formulas/mathematics/high-school/432bd29aw6v9v6os8rrnm6nr9scb4fgdrh.png)
![\bold{10-100=-90}](https://img.qammunity.org/2023/formulas/mathematics/high-school/djkt3qv3aj5l968977u5ww1y5cc2tq7ynw.png)
Since -99 is the smallest number here, the expression with the least value when x=100 is Option C -
![\checkmark\dashrightarrow\boxed{\boxed{1-x}}}\dashleftarrow\checkmark](https://img.qammunity.org/2023/formulas/mathematics/high-school/m3hqzrs2a5lvnb7jwji2o1k7w2bs5oqzl0.png)
Good luck.
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