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Home » -16((y - 2)^2 - 4) = -16(y - 2)^2 + 64 - Get link 4share

-16((y - 2)^2 - 4) = -16(y - 2)^2 + 64 - Get link 4share

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 ある会社の利益 \( P(x) \) は、千ドル単位で、\( P(x) = -2x^2 + 12x - 16 \) という関数で表され、\( x \) は販売個数を百単位で表します。利益を最大にする販売個数を求めます。

📌 頂点の \( x \) は \( x = -\frac{b}{2a} = -\frac{12}{2 \times -2} = 3 \) で与えられます。

📌 初速度20 m/sで真上にボールを投げます。公式 \( h(t) = -5t^2 + 20t \) を使用して、ボールが到達する最大高さを求めます。

📌 高さの関数 \( h(t) = -5t^2 + 20t \) は下に開いた放物線です。

📌 頂点は \( t = -\frac{b}{2a} = -\frac{20}{2 \times -5} = 2 \) 秒で発生します。

📌 \( t = 2 \) を \( h(t) \) に代入します：\( h(2) = -5(2)^2 + 20(2) = -20 + 40 = 20 \) メートルです。

📌 方程式 \( 3^{2x} = 81 \) を \( x \) について解きます。

📌 81を \( 3^4 \) と書き換えます。

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