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Home » Wait — $ \textlcm(7,8,9) $: - ToelettAPP

Wait — $ \textlcm(7,8,9) $: - ToelettAPP

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 A rectangle has a perimeter of 48 cm. If the length is 3 times the width, find the dimensions of the rectangle.

📌 Let the width be \( w \) and the length \( 3w \).

📌 Simplifying, \( 8w = 48 \).

📌 Solving for \( w \), \( w = 6 \).

📌 #### 6 cm, 18 cm

📌 Find the value of \( x \) in the equation \( 2^x = 64 \).

📌 Rewrite 64 as a power of 2: \( 64 = 2^6 \).

📌 Therefore, \( 2^x = 2^6 \).

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Constant second differences of 2 indicate a quadratic polynomial. But...
Assume $ f(x) = ax^3 + bx^2 + cx + d $. Use the system:
$ a + b + c + d = 3 $
For $ x = 2 $:
$ 8a + 4b + 2c + d = 8 $
For $ x = 3 $:
$ 27a + 9b + 3c + d = 15 $
For $ x = 4 $:
$ 64a + 16b + 4c + d = 24 $
Subtract equations to eliminate $ d $:

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