\[\boxed{\text{182\ (182).\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]
\[y = \frac{10}{x}\]
\[x = 100:\ \ \ \ \ \ \]
\[y = \frac{10}{100} = 0,1.\]
\[x = 1000:\text{\ \ \ }\]
\[y = \frac{10}{1000} = 0,01.\]
\[x = 0,1:\text{\ \ \ \ \ \ }\]
\[\ y = \frac{10}{0,1} = 100.\]
\[x = 0,02:\text{\ \ \ \ \ }\]
\[y = \frac{10}{0,02} = \frac{1000}{2} = 500.\]
\[\frac{10}{- 0,05} = \frac{1000}{- 5} = - 200\]
\[принадлежит.\]
\[\frac{10}{- 0,1} = \frac{100}{- 1} = - 100 \neq 100\]
\[не\ принадлежит.\]
\[\frac{10}{400} = \frac{1 \cdot 25}{40 \cdot 25} = \frac{25}{1000} = 0,025\]
\[принадлежит.\]
\[\frac{10}{500} = \frac{1 \cdot 2}{50 \cdot 2} = \frac{2}{100} =\]
\[= 0,02 \neq - 0,02\]
\[не\ принадлежит.\]
\[\boxed{\text{182.\ }\text{еуроки}\text{-}\text{ответы}\text{\ }\text{на}\text{\ }\text{пятёрку}}\]
\[y = \frac{120}{x}\ \]
\[x\] | \[- 1200\] | \[- 600\] | \[- 240\] | \[- 120\] | \[75\] | \[120\] | \[300\] | \[1000\] |
---|---|---|---|---|---|---|---|---|
\[y\] | \[- 0,1\] | \[- 0,2\] | \[- 0,5\] | \[- 1\] | \[1,6\] | \[1\] | \[0,4\] | \[0,12\] |
\[\frac{120}{- 1200} = - \frac{1}{10} = - 0,1\]
\[\frac{120}{- 600} = - \frac{1}{5} = - 0,2\]
\[- 0,5 = \frac{120}{x}\]
\[x = \frac{120}{- 0,5} = - 120\ :\frac{1}{2} = - 240\]
\[- 1 = \frac{120}{x}\]
\[x = - \frac{120}{1} = - 120\]
\[\frac{120}{75} = \frac{24}{15} = \frac{8}{5} = \frac{16}{10} = 1,6\]
\[0,4 = \frac{120}{x}\]
\[x = \frac{120}{0,4}\]
\[x = 120\ :\frac{2}{5}\]
\[x = \frac{120 \cdot 5}{2}\]
\[x = 300\]