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Home » 4) This Astonishing Transformation of Kenzo Lee Hounsou Will Leave You Speechless! - AMAZONAWS

4) This Astonishing Transformation of Kenzo Lee Hounsou Will Leave You Speechless! - AMAZONAWS

📅 March 5, 2026 👤 scraface

Mar 05, 2026

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📌 oxed{ ext{Ellipse}}

📌 A herpetologist is modeling the population growth of a species of endangered reptiles using a quadratic function \( P(t) = at^2 + bt + c \), where \( t \) is time in years. If \( P(t) \) reaches its maximum at \( t = 5 \) years and \( a < 0 \), determine the relationship between \( a, b, \) and \( c \).

📌 The vertex form of a quadratic function \( P(t) = at^2 + bt + c \) gives the time at which the maximum value occurs as \( t = -rac{b}{2a} \). Given that the maximum occurs at \( t = 5 \), we have:

📌 = -rac{b}{2a}

📌 Solving for \( b \), we find:

📌 Since \( a < 0 \), this ensures the parabola opens downwards, confirming a maximum. The value of \( c \) does not affect the location of the vertex or the sign of \( a \), so \( c \) can be any real number. Therefore, the relationship between \( a, b, \) and \( c \) is:

📌 oxed{b = -10a ext{ where } a < 0}

🔥 Popular Posts

2(5) + 3b = 11 \implies 10 + 3b = 11 \implies b = \frac{1}{3}
هذا غير صحيح، لذا دعونا نحاول $a = 1$:
2(1) + 3b = 11 \implies 3b = 9 \implies b = 3
استكمالًا، لنفترض $c = 3$:
2(3) + 3d = 15 \implies 3d = 9 \implies d = 3
\mathbf{M} = \begin{pmatrix} 1 & 3 \\ 3 & 3 \end{pmatrix}
\boxed{\begin{pmatrix} 1 & 3 \\ 3 & 3 \end{pmatrix}}
الإجابة النهائية:** $\boxed{\begin{pmatrix} 1 & 3 \\ 3 & 3 \end{pmatri...
السؤال: أوجد جميع الزوايا $z \in [0^\circ, 360^\circ]$ التي تحقق المعا...
2\sin z + \sqrt{3} = 0 \implies \sin z = -\frac{\sqrt{3}}{2}

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