445 Вправа 445Алгебра 8 клас Тарасенкова 2025 · § 11 · стор. 126

445. Який коефіцієнт k функції y = k/x:

Записуємо формулу у вигляді ${\displaystyle y=}$${\displaystyle \frac{k}{x}}$.

1) ${\displaystyle y=}$${\displaystyle \frac{1}{5x}=}$${\displaystyle \frac{\frac{1}{5}}{x}}$; ${\displaystyle k=}$${\displaystyle \frac{1}{5}}$;

2) ${\displaystyle y=}$${\displaystyle -\frac{1}{7x}=}$${\displaystyle \frac{-\frac{1}{7}}{x}}$; ${\displaystyle k=}$${\displaystyle -\frac{1}{7}}$;

3) ${\displaystyle y=}$${\displaystyle \frac{4}{9x}=}$${\displaystyle \frac{\frac{4}{9}}{x}}$; ${\displaystyle k=}$${\displaystyle \frac{4}{9}}$;

4) ${\displaystyle y=}$${\displaystyle \frac{5}{6x}=}$${\displaystyle \frac{\frac{5}{6}}{x}}$; ${\displaystyle k=}$${\displaystyle \frac{5}{6}}$;

5) ${\displaystyle y=}$${\displaystyle -\frac{1}{0,2x}=}$${\displaystyle \frac{-5}{x}}$; ${\displaystyle k=}$${\displaystyle -5}$;

6) ${\displaystyle xy=}$${\displaystyle -8}$ | ${\displaystyle :x}$

${\displaystyle y=}$${\displaystyle \frac{-8}{x}}$; ${\displaystyle k=}$${\displaystyle -8}$;

7) ${\displaystyle 2xy=}$${\displaystyle 14}$ | ${\displaystyle :2x}$

${\displaystyle y=}$${\displaystyle \frac{7}{x}}$; ${\displaystyle k=}$${\displaystyle 7}$;

8) ${\displaystyle 4xy=}$${\displaystyle -24}$ | ${\displaystyle :4x}$

${\displaystyle y=}$${\displaystyle \frac{-6}{x}}$; ${\displaystyle k=}$${\displaystyle -6}$.