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Home » \[ 12,000,000 = 500,000 \times e^10r \] - ToelettAPP

\[ 12,000,000 = 500,000 \times e^10r \] - ToelettAPP

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 The function g(x) = (x² − 4)/(x − 2) is undefined at x = 2. What is the limit of g(x) as x approaches 2?

📌 Simplify: g(x) = (x² − 4)/(x − 2) = (x − 2)(x + 2)/(x − 2) = x + 2, for x ≠ 2.

📌 Therefore, limₓ→2 g(x) = 2 + 2 = 4.

📌 A triangle has sides of length 7, 24, and 25. What is the area of the triangle?

📌 Area = (1/2) × 7 × 24 = 84 square units.

📌 Find the sum of all integer solutions to the inequality |2x − 5| < 9.

📌 Solve: −9 < 2x − 5 < 9 → −4 < 2x < 14 → −2 < x < 7.

📌 Integer solutions: x = −1, 0, 1, 2, 3, 4, 5, 6 (8 values).

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