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Home » The larger integer is \( x + 2 = 74 \). - Simpleprint

The larger integer is \( x + 2 = 74 \). - Simpleprint

📅 March 14, 2026 👤 scraface

Mar 14, 2026

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📌 A historian analyzes a 1900 laboratory invoice: 200 grams of platinum at $2.50/gram and 15 grams of rhodium at $12.80/gram. If adjusted for 120 years of 2.8% annual inflation, what is the current purchasing power of the total cost?

📌 Platinum cost = 200 × 2.50 = <<200*2.50=500>>500

📌 Rhodium cost = 15 × 12.80 = <<15*12.80=192>>192

📌 Subtotal = 500 + 192 = <<500+192=692>>692

📌 Inflation factor = (1.028)^120 ≈ 13.83

📌 Present value = 692 / 13.83 ≈ <<692/13.83=49.97>>49.97

📌 #### 49.97Question: Let $ f(x^2 + 2) = x^4 + 4x^2 + 3 $. Find $ f(x^2 - 2) $.

📌 Solution: Let us define a function $ f(u) $ such that

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So solution: \( x < -3 \) or \( x > 4 \)
In interval notation:
oxed{(-\infty, -3) \cup (4, \infty)}
Let \( a \) and \( b \) be complex numbers such that \( a + b = 4 \) a...
\( a + b = 4 \)
\( a^2 + b^2 = 10 \)
We use the identity:
Substitute:
4^2 = 10 + 2ab \Rightarrow 16 = 10 + 2ab \Rightarrow 2ab = 6 \Rightarr...
Now compute \( |a - b| \). Note:

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