446 Вправа 446Алгебра 8 клас Тарасенкова 2025 · § 11 · стор. 126

446. Знайдіть значення k, якщо графік функції y = k/x проходить через точку:

${\displaystyle k=}$${\displaystyle x\cdot y}$.

1) ${\displaystyle k=}$${\displaystyle 0,5\cdot (-10)=}$${\displaystyle -5}$;

2) ${\displaystyle k=}$${\displaystyle 0,1\cdot 100=}$${\displaystyle 10}$;

3) ${\displaystyle k=}$${\displaystyle -6\cdot 0,05=}$${\displaystyle -0,3}$;

4) ${\displaystyle k=}$${\displaystyle 1,5\cdot 0,02=}$${\displaystyle 0,03}$;

5) ${\displaystyle k=}$${\displaystyle (-\frac{2}{5})\cdot (-15)=}$${\displaystyle \frac{2\cdot \stackrel{3}{\cancel{15}}}{\underset{1}{\cancel{5}}}=}$${\displaystyle 6}$;

6) ${\displaystyle k=}$${\displaystyle \frac{3}{4}\cdot (-1\frac{1}{2})=}$${\displaystyle -\frac{3}{4}\cdot \frac{3}{2}=}$${\displaystyle -\frac{9}{8}=}$${\displaystyle -1\frac{1}{8}}$;

7) ${\displaystyle k=}$${\displaystyle 2\frac{1}{7}\cdot 35=}$${\displaystyle \frac{15\cdot \stackrel{5}{\cancel{35}}}{\underset{1}{\cancel{7}}}=}$${\displaystyle 15\cdot 5=}$${\displaystyle 75}$;

8) ${\displaystyle k=}$${\displaystyle (-1\frac{1}{3})\cdot (-1,75)=}$${\displaystyle \frac{4}{3}\cdot \frac{\stackrel{7}{\cancel{175}}}{\underset{4}{\cancel{100}}}=}$${\displaystyle \frac{\cancel{4}\cdot 7}{3\cdot \cancel{4}}=}$${\displaystyle \frac{7}{3}=}$${\displaystyle 2\frac{1}{3}}$.