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Home » The Dark Crystal Age of Resistance Is Here: Are You Ready to Witness History Unfold? - 500apps

The Dark Crystal Age of Resistance Is Here: Are You Ready to Witness History Unfold? - 500apps

📅 March 15, 2026 👤 scraface

Mar 15, 2026

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📌 We analyze the sign of this rational expression by identifying the critical points where the numerator or denominator is zero:

📌 Numerator zero: $ -3x + 11 = 0 \Rightarrow x = rac{11}{3} $.

📌 Denominator zero: $ x - 2 = 0 \Rightarrow x = 2 $.

📌 These divide the real line into intervals:

📌 We test the sign of $ rac{-3x + 11}{x - 2} $ in each interval:

📌 For $ x < 2 $, say $ x = 0 $: numerator $ -3(0) + 11 = 11 > 0 $, denominator $ 0 - 2 = -2 < 0 $ â negative.

📌 For $ 2 < x < rac{11}{3} $, say $ x = 3 $: numerator $ -9 + 11 = 2 > 0 $, denominator $ 1 > 0 $ â positive.

📌 For $ x > rac{11}{3} $, say $ x = 4 $: numerator $ -12 + 11 = -1 < 0 $, denominator $ 2 > 0 $ â negative.

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\( \frac{7}{18} \times 60 = 23.\overline{3} \approx 23.33 \text{ minut...
Answer:** #### 23.33
A store discounts a jacket originally priced at $140 by 15%. After the...
\( 15\% \times 140 = 0.15 \times 140 = 21 \).
Price after discount:
\( 140 - 21 = 119 \).
Sales tax:
\( 7\% \times 119 = 0.07 \times 119 = 8.33 \).
\( 119 + 8.33 = 127.33 \).
Answer:** #### 127.33

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