Запиши заданное множество {k|11k+3≤6k+4} в виде числового промежутка. Выбери правильный вариант ответа: 1) k ∈[7/5;+∞). 2) k ∈(−∞;5]. 3) k ∈(−∞;5/1]. 4) k∈(−∞;7/5]. 5) k ∈(−∞;1/5). 6) k ∈(−∞;1/5].
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ответ:
10 минут
объяснение:
последняя строка таблицы говорит о том что ванна полностью опорожнилась за 60 минут, т.е.
( \frac{1}{x+2} - \frac{1}{x})*60 = -1 \\
\frac{x-x-2}{x(x+2)}*60 = -1 \\
\frac{-2}{x(x+2)} = - \frac{1}{60} \\
x(x+2)=120 \\
x^{2} +2x-120=0 \\
d = 4 + 4*120 = 484 \\
\sqrt{d} = 22 \\
x_{1} = \frac{-2+22}{2}=10 \\
x_{2} = \frac{-2-22}{2}=-12 \\
второй корень посторонний.
ответ: второй кран опорожнит полную ванну за 10 минут.