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Home » A_\texttriangle = \frac12ab = r \cdot s - go-checkin.com

A_\texttriangle = \frac12ab = r \cdot s - go-checkin.com

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 Substitute \( x = 1 \) back into the equation to find \( y \):

📌 \[ y = 2(1)^2 - 4(1) + 1 = 2 - 4 + 1 = -1 \]

📌 The vertex is \( (1, -1) \).

📌 #### (1, -1)

📌 A solution contains 30% alcohol. How much pure alcohol must be added to 200 mL of this solution to make a 50% alcohol solution?

📌 First, calculate the amount of alcohol in the initial solution:

📌 \[ 0.3 \times 200 = 60 \, \text{mL} \]

📌 Let \( x \) be the amount of pure alcohol added. The total volume becomes \( 200 + x \), and the total alcohol is \( 60 + x \).

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