Решебник по алгебре 7 класс Мерзляк ФГОС Задание 996

 

\[\boxed{\text{996\ (996).\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]

\[x = - 2;\]

\[(0;0);\ \ (2;\ - 2)\ \]

\[y = \text{kx}\text{\ \ }\]

\[- 2 = 2k\text{\ \ }\]

\[k = - 1 \Longrightarrow \ \ y = - x;\]

\[(0;3);\ \ ( - 1;0)\]

\[y = kx + b\ \]

\[3 = 0 + b \Longrightarrow \ \ b = 3\]

\[0 = - k + 3\ \ \]

\[k = 3 \Longrightarrow \ \ y = 3x + 3.\]

\[(4;0),\ \ (0;\ - 2),\]

\[y = kx + b\]

\[\ - 2 = 0 + b \Longrightarrow \ \ b = - 2\]

\[0 = 4k - 2\]

\[4k = 2\ \]

\[k = 0,5 \Longrightarrow \ y = 0,5x - 2.\]

\[\boxed{\text{996.\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]

\[y = \left\{ \begin{matrix} - 2x + 4,\ \ x > 0 \\ 0,1x - 5,\ \ x \leq 0 \\ \end{matrix} \right.\ \]

\[1)\ y(3) = - 2 \cdot 3 + 4 =\]

\[= - 6 + 4 = - 2\]

\[2)\ y(0,001) = - 2 \cdot 0,001 + 4 =\]

\[= - 0,002 + 4 = 3,998\]

\[3)\ y(0) = 0,1 \cdot 0 - 5 = - 5\]

\[4)\ y( - 8) = 0,1 \cdot ( - 8) - 5 =\]

\[= - 0,8 - 5 = - 5,8\]