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МатематикаРешебник по алгебре 8 класс Мерзляк ФГОС Задание 333
Задание 333
\[\boxed{\text{333\ (333).}\text{\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]
\[1)\left\{ \begin{matrix} xy = 4 \\ 4y = x \\ \end{matrix} \right.\ \text{\ \ \ \ \ \ \ \ \ }\left\{ \begin{matrix} y = \frac{4}{x} \\ y = \frac{x}{4} \\ \end{matrix} \right.\ \]
\[y = \frac{4}{x}\]
| \[x\] | \[1\] | \[2\] | \[4\] | \[- 1\] | \[- 2\] | \[- 4\] |
|---|---|---|---|---|---|---|
| \[y\] | \[4\] | \[2\] | \[1\] | \[- 4\] | \[- 2\] | \[- 1\] |
\[y = \frac{x}{4}\]
| \[x\] | \[4\] | \[8\] |
|---|---|---|
| \[y\] | \[1\] | \[2\] |
\[Ответ:( - 4;\ - 1);(4;1).\]
\[2)\ \left\{ \begin{matrix} x - y = 1 \\ xy = 2\ \ \ \ \\ \end{matrix} \right.\ \text{\ \ \ \ \ \ \ \ \ \ }\left\{ \begin{matrix} y = x - 1 \\ y = \frac{2}{x}\text{\ \ \ \ \ \ \ } \\ \end{matrix} \right.\ \]
\[y = x - 1\]
| \[x\] | \[1\] | \[2\] |
|---|---|---|
| \[y\] | \[0\] | \[1\] |
\[y = \frac{2}{x}\]
| \[x\] | \[1\] | \[2\] | \[4\] | \[- 1\] | \[- 2\] | \[- 4\] |
|---|---|---|---|---|---|---|
| \[y\] | \[2\] | \[1\] | \[0,5\] | \[- 2\] | \[- 1\] | \[- 0,5\] |
\[Ответ:( - 1; - 2);(2;1).\]
\[\boxed{\text{333.}\text{\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]
\[1)\ A\ ( - 6;\ - 8):\ \ \]
\[- 8 = - \frac{48}{- 6}\text{\ \ }\]
\[- 8 \neq 8\ \Longrightarrow не\ проходит.\]
\[2)\ \text{B\ }(12;\ - 4):\ \ \]
\[- 4 = - \frac{48}{12}\]
\[- 4 = - 4 \Longrightarrow \ проходит.\]
\[3)\ \text{C\ }(0,3;\ - 16):\ \ \]
\[- 16 = - \frac{48}{0,3}\text{\ \ }\]
\[- 16 \neq - 160 \Longrightarrow не\ проходит.\]
\[4)\ \text{D\ }(0,4;\ - 120):\ \ \]
\[- 120 = - \frac{48}{0,4}\]
\[- 120 = - 120 \Longrightarrow проходит.\]
