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Home » 2at + (a + b) = 2t + 1. - Appfinity Technologies

2at + (a + b) = 2t + 1. - Appfinity Technologies

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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Simplify: \( \frac{3x^2 - 12x}{x^2 - 4} \div \frac{3x}{x + 2} \).
First, factor: \( \frac{3x(x - 4)}{(x - 2)(x + 2)} \div \frac{3x}{x +...
Dividing is multiplying by reciprocal:
\( \frac{3x(x - 4)}{(x - 2)(x + 2)} \times \frac{x + 2}{3x} = \frac{x...
#### \( \frac{x - 4}{x - 2} \)
If \( \log_2(x) + \log_2(x - 2) = 3 \), what is the value of \( x \)?
\( \log_2(x(x - 2)) = 3 \) → \( x(x - 2) = 2^3 = 8 \).
\( x^2 - 2x - 8 = 0 \) → \( (x - 4)(x + 2) = 0 \).
\( x = 4 \) (since \( x > 2 \) for log to be defined).
The graph of \( y = a \cdot 2^x \) passes through the points $ (0, 3)...

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