Let's go through each of the questions and provide the answers:
1. **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:
**\(52x - 8 = 9 \text{ and } x \neq -8\)**.
2. **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.**
3. **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:
**\( \frac{4}{3} \)**.
4. **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:
**\( \frac{1}{10} \)**.
5. **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!