Решебник по алгебре 7 класс Мерзляк ФГОС Задание 983

 

\[\boxed{\text{983\ (983).\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]

\[1)\ A\ (2;8)\ \ \ и\ \ (0;0);\ \ \]

\[\text{ax} + \text{by} = c,\ \ \]

\[2a + 8b = c\ \ \ и\ \ 0 + 0 = c \Longrightarrow \ \]

\[\Longrightarrow \ c = 0\]

\[y = \text{kx} + b \Longrightarrow \ \ b = 0 \Longrightarrow\]

\[\Longrightarrow \ \ y = kx\]

\[8 = k \cdot 2;\ \ \ k = 4 \Longrightarrow y = 4x.\]

\[2)\ \text{B\ }( - 6;15)\ \ и\ \ (0;0),\ \ \]

\[y = kx + b \Longrightarrow \ 0 = 0 + b \Longrightarrow\]

\[\Longrightarrow \ b = 0\]

\[y = kx \Longrightarrow \ 15 = - 6k \Longrightarrow\]

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

\[\boxed{\text{983.\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]

\[y( - 3) = - 3 \cdot ( - 3 + 8) = - 15\]

\[\ y( - 2) = - 2 \cdot ( - 2 + 8) = - 12\]

\[y( - 1) = - 1 \cdot ( - 1 + 8) = - 7\ \]

\[\ y(0) = 0\]

\[\ y(1) = 1 \cdot (1 + 8) = 9\]

\[y(2) = 2 \cdot (2 + 8) = 20\ \ \]

\[y(3) = 3 \cdot (3 + 8) = 33\]