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Home » Hit the Comix: Hela Marvel Comics Will Change Everything You Thought You Knew! - ToelettAPP

Hit the Comix: Hela Marvel Comics Will Change Everything You Thought You Knew! - ToelettAPP

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 C(x) = 3x^2 - 12x + k

📌 Substitute \( x = 2 \) into the cost function:

📌 C(2) = 3(2)^2 - 12(2) + k = 3 \cdot 4 - 24 + k = 12 - 24 + k = -12 + k

📌 Set the minimum cost equal to zero:

📌 Thus, the value of \( k \) that ensures the minimum cost is zero is \(\boxed{12}\).

📌 An AI programmer is optimizing a model's performance using a quadratic cost function \( f(x) = ax^2 + bx + c \). If the vertex of this parabola corresponds to the minimum point at \( x = 3 \) and the cost at the vertex is \(-5\), find the relationship between \( a \) and \( c \) given \( b = -6 \).

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\(5^2 + b^2 = 13^2\)
\(25 + b^2 = 169\)
\(b^2 = 144\)
\(b = \sqrt{144} = 12\) metros
#### 12 metros
Un recipiente cilíndrico con un radio de 2 metros está lleno de agua h...
Volumen del cilindro = \(\pi r^2 h = \pi \times 2^2 \times 3 = 12\pi\)...
Volumen de agua en el cubo = \(8 \times \text{altura}\)
Igualar volúmenes: \(12\pi = 8 \times \text{altura}\)
Altura = \(\frac{12\pi}{8} = \frac{3\pi}{2} \approx 4.71\) metros

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