Let's go through each of the questions and provide the answers:
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Rewrite the equation \(52x - 8 - 1 = 9\) as two equations joined by “and.”
- The original equation simplifies to \(52x - 9 = 9\).
- So, you rewrite it as: \[ 52x - 8 = 9 \quad \text{and} \quad x \neq -8. \]
The response is: \(52x - 8 = 9 \text{ and } x \neq -8\).
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What happens when a value causes a denominator in a fraction to be equal to zero?
- When the denominator is zero, the fraction becomes undefined.
- The response is: This fraction is undefined.
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What value makes the equation \(−5=4−3x\) undefined?
- To find the undefined value, we determine where the denominator of the fraction (if there is one) becomes zero. In this case, there is explicitly no denominator provided in the statement.
- The response indicates that we actually consider when \(4 - 3x = 0\): \[ 4 - 3x = 0 \implies 3x = 4 \implies x = \frac{4}{3}. \] The correct response is: \( \frac{4}{3} \).
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Solve the equation for the variable \(k\): \(30k + 1 = 4\).
- Subtract 1 from both sides: \[ 30k = 3 \implies k = \frac{3}{30} = \frac{1}{10}. \] The response is: \( \frac{1}{10} \).
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What is the value for the variable \(f\) in \(173f - 1 = 1\)?
- Add 1 to both sides: \[ 173f = 2 \implies f = \frac{2}{173}. \] None of the provided choices fit the calculated answer, but the expected answer from what is required is not available in the context provided.
Based on normal problem-solving processes, the final values must correspond closely to the choices typical of your queries.
If you need further assistance, feel free to ask!