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Home » Revealed: The #1 Recipe Box That’s Making Home Cooks Swear—Try It NOW! - Abbey Badges

Revealed: The #1 Recipe Box That’s Making Home Cooks Swear—Try It NOW! - Abbey Badges

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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📌 $ -3b \cdot 2a = -6ab $,

📌 $ -3b \cdot 7b = -21b^2 $.

📌 Combine like terms: $ 10a^2 + 35ab - 6ab - 21b^2 = 10a^2 + 29ab - 21b^2 $.

📌 \boxed{10a^2 + 29ab - 21b^2}

📌 Question: The functions $ f(x) = x^2 - 6x + m $ and $ g(x) = x^2 - 6x + 5m $ are evaluated at $ x = 3 $. If $ f(3) = 2g(3) $, find $ m $.

📌 Solution: Compute $ f(3) = 9 - 18 + m = -9 + m $, and $ g(3) = 9 - 18 + 5m = -9 + 5m $. Set $ -9 + m = 2(-9 + 5m) $:

📌 $ -9 + m = -18 + 10m \Rightarrow -9 + 18 = 10m - m \Rightarrow 9 = 9m \Rightarrow m = 1 $.

📌 \boxed{1}Question: What is the greatest common factor of 48 and 60?

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Set \( P(t) = 100000 = 50000 \cdot e^{0.03t} \)
\( 2 = e^{0.03t} \)
Take natural log: \( \ln 2 = 0.03t \)
\( t = \frac{\ln 2}{0.03} \approx \frac{0.693}{0.03} \approx 23.1 \) y...
#### 23.1 years
\( 2x + 3y = 12 \)
\( 4x - y = 10 \)
Multiply second equation by 3: \( 12x - 3y = 30 \)
Add to first: \( 2x + 3y + 12x - 3y = 12 + 30 \)
\( 14x = 42 \), so \( x = 3 \)

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