Question

Проверим ваши знания!Задание....Если Y=1+1/х и х>1, то какому из чисел 1/7,5/7,8/7,15/7,19/7 может быть равно число Y??? Решаем!..

Answer 1

т.к. х>1, то 1<y<2

 

Методом исключения:

 

1/7,5/7 - не подходят, т.к. не соответсвуют условию (y>1)

15/7,19/7 - тоже не подходят, т.к. у<2

 

Ответ: 8/7

Answer 2

Solving the Equation

To solve the given equation Y = 1 + 1/x for x > 1, we can substitute the given values of 1/7, 5/7, 8/7, 15/7, 19/7 into the equation and see which one satisfies it.

Let's start by substituting each value into the equation and see which one gives a valid solution for Y.

1. For x = 1/7: - Y = 1 + 1/(1/7) - Y = 1 + 7 - Y = 8

2. For x = 5/7: - Y = 1 + 1/(5/7) - Y = 1 + 7/5 - Y = 12/5

3. For x = 8/7: - Y = 1 + 1/(8/7) - Y = 1 + 7/8 - Y = 15/8

4. For x = 15/7: - Y = 1 + 1/(15/7) - Y = 1 + 7/15 - Y = 22/15

5. For x = 19/7: - Y = 1 + 1/(19/7) - Y = 1 + 7/19 - Y = 26/19

Conclusion

Based on the calculations, the value of Y can be equal to 8 when x = 1/7. Therefore, the number 1/7 is the only value among the given options that can be equal to the number Y.