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Home » Let \(x\) = liters of 20% solution, then \(30 - x\) = liters of 50% solution - High Altitude Science

Let \(x\) = liters of 20% solution, then \(30 - x\) = liters of 50% solution - High Altitude Science

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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2a = 6 \Rightarrow a = 3, \quad a + b = 4 \Rightarrow 3 + b = 4 \Right...
Thus, the leading coefficient of $ f(x) $ is $ \boxed{3} $.
Question: A function $ f: \mathbb{R} \to \mathbb{R} $ satisfies $ f(a...
Solution: Let’s plug in $ a = b = 1 $ into the functional equation:
f(2) + f(0) = 2f(1) + 2f(1) = 4
We are given $ f(1) = 1 $, so:
f(2) + f(0) = 4 \quad \text{(1)}
Now plug in $ a = 0, b = 1 $:
f(1) + f(-1) = 2f(0) + 2f(1) \Rightarrow 1 + f(-1) = 2f(0) + 2 \Righta...
Now plug in $ a = 1, b = 0 $:

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