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Home » 2x + 5y = 10 \quad \text(2) - Dachbleche24

2x + 5y = 10 \quad \text(2) - Dachbleche24

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 A = \pi a b

📌 Substituting the values of \(a\) and \(b\):

📌 A = \pi \times 3 \times 2 = 6\pi

📌 Thus, the area enclosed by the ellipse is \(\boxed{6\pi}\).

📌 A data scientist is analyzing the relationship between credit scores and loan repayments modeled by the quadratic function \(f(x) = 2x^2 - 12x + 18\). Determine the vertex of this parabola and interpret it as the optimal credit score for minimizing repayment cost.

📌 The given function is \(f(x) = 2x^2 - 12x + 18\), which is a quadratic function in standard form \(ax^2 + bx + c\), with \(a = 2\), \(b = -12\), and \(c = 18\).

📌 The vertex of a parabola \(y = ax^2 + bx + c\) occurs at:

📌 x = -\frac{b}{2a} = -\frac{-12}{2 \cdot 2} = \frac{12}{4} = 3

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