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Home » 5x = -1 \implies x = -\frac15 - Belip

5x = -1 \implies x = -\frac15 - Belip

📅 May 5, 2026 👤 scraface

May 05, 2026

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📌 2A genetic modification specialist introduces a gene into 120 plant cells. On day one, 25% of the cells successfully incorporate the gene. On day two, 40% of the remaining unmodified cells are successfully modified. How many cells remain unmodified after day two?

📌 First, calculate the number of cells successfully modified on day one: 120 × 25% = 120 × 0.25 = <<120*0.25=30>>30 cells.

📌 Then, find the number of unmodified cells after day one: 120 – 30 = <<120-30=90>>90 cells.

📌 On day two, 40% of these 90 unmodified cells are successfully modified: 90 × 0.40 = <<90*0.40=36>>36 cells.

📌 Subtract to find the remaining unmodified cells: 90 – 36 = <<90-36=54>>54 cells.

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Thus, the series converges.
#### Converges
To find the inverse, set \( y = rac{2x + 3}{x - 1} \) and solve for \...
\[ y = rac{2x + 3}{x - 1} \]
Multiply both sides by \( x - 1 \):
\[ y(x - 1) = 2x + 3 \]
\[ yx - y = 2x + 3 \]
Rearrange to isolate terms with \( x \):
\[ yx - 2x = y + 3 \]
\[ x(y - 2) = y + 3 \]

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