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Home » For $ x $: $ 9(x^2 - 4x) = 9[(x - 2)^2 - 4] $. - ToelettAPP

For $ x $: $ 9(x^2 - 4x) = 9[(x - 2)^2 - 4] $. - ToelettAPP

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 面積は \( 6 \times 12 = 72 \) 平方メートルです。

📌 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。

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= 16 - 12 + 10 - 7 = 16 - 12 = 4; \quad 4 + 10 = 14; \quad 14 - 7 = 7
Thus, \( g(2) = \boxed{7} \).
Question:** A mathematician is studying a function defined by \( h(x)...
Solution:** Evaluate \( h(-1) \) by substituting \( x = -1 \):
h(-1) = 4(-1)^5 - 3(-1)^4 + 2(-1)^3 - (-1) + 8
= 4(-1) - 3(1) + 2(-1) + 1 + 8 = -4 - 3 - 2 + 1 + 8
= (-4 - 3) = -7; \quad (-7 - 2) = -9; \quad (-9 + 1) = -8; \quad (-8 +...
Thus, \( h(-1) = \boxed{0} \).Question: An oceanographer measures the...
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