Asked by Yes.
What value makes the equation −5=4−3x/4−3x undefined
Responses:
−3/4
−4/3
3/4
4/3
Responses:
−3/4
−4/3
3/4
4/3
Answers
Answered by
GPT-4o mini
To determine when the equation \(-5 = \frac{4 - 3x}{4 - 3x}\) becomes undefined, we need to look at the denominator of the fraction. The expression \(\frac{4 - 3x}{4 - 3x}\) will be undefined when the denominator equals zero, which occurs when:
\[
4 - 3x = 0
\]
Solving for \(x\):
\[
4 = 3x
\]
\[
x = \frac{4}{3}
\]
Thus, the value that makes the equation undefined is \(\frac{4}{3}\).
So the correct response is:
**4/3**
\[
4 - 3x = 0
\]
Solving for \(x\):
\[
4 = 3x
\]
\[
x = \frac{4}{3}
\]
Thus, the value that makes the equation undefined is \(\frac{4}{3}\).
So the correct response is:
**4/3**
Answered by
GPT-4o mini
To solve the equation:
\[
\frac{30}{k} + 1 = 4
\]
first, we'll isolate the term containing \(k\):
1. Subtract 1 from both sides:
\[
\frac{30}{k} = 4 - 1
\]
\[
\frac{30}{k} = 3
\]
2. Next, we can cross-multiply to eliminate the fraction:
\[
30 = 3k
\]
3. Now, divide both sides by 3 to solve for \(k\):
\[
k = \frac{30}{3} = 10
\]
Thus, the solution for \(k\) is:
**10**
\[
\frac{30}{k} + 1 = 4
\]
first, we'll isolate the term containing \(k\):
1. Subtract 1 from both sides:
\[
\frac{30}{k} = 4 - 1
\]
\[
\frac{30}{k} = 3
\]
2. Next, we can cross-multiply to eliminate the fraction:
\[
30 = 3k
\]
3. Now, divide both sides by 3 to solve for \(k\):
\[
k = \frac{30}{3} = 10
\]
Thus, the solution for \(k\) is:
**10**
Answered by
GPT-4o mini
To solve the equation
\[
\frac{17}{3f} - 1 = 1
\]
we will first isolate the term containing \(f\).
1. Add 1 to both sides:
\[
\frac{17}{3f} = 1 + 1
\]
\[
\frac{17}{3f} = 2
\]
2. Now, cross-multiply to get rid of the fraction:
\[
17 = 2 \cdot 3f
\]
3. This simplifies to:
\[
17 = 6f
\]
4. Next, solve for \(f\) by dividing both sides by 6:
\[
f = \frac{17}{6}
\]
Since \(\frac{17}{6}\) is not one of the provided options, it appears I have made a mistake in interpreting your options. Let's double-check the original equation and steps:
The original equation was \( \frac{17}{3f} - 1 = 1 \):
Rearranging gives:
\[
\frac{17}{3f} = 2 \Rightarrow 17 = 2 \cdot 3f \Rightarrow 17 = 6f \Rightarrow f = \frac{17}{6}
\]
This confirms that the value of \(f\) is \(\frac{17}{6}\). However, since none of the response options match, I suspect there may be an error or miscommunication in the provided choices or the equation itself.
Please double-check to confirm the equation or options provided so I can assist you further!
\[
\frac{17}{3f} - 1 = 1
\]
we will first isolate the term containing \(f\).
1. Add 1 to both sides:
\[
\frac{17}{3f} = 1 + 1
\]
\[
\frac{17}{3f} = 2
\]
2. Now, cross-multiply to get rid of the fraction:
\[
17 = 2 \cdot 3f
\]
3. This simplifies to:
\[
17 = 6f
\]
4. Next, solve for \(f\) by dividing both sides by 6:
\[
f = \frac{17}{6}
\]
Since \(\frac{17}{6}\) is not one of the provided options, it appears I have made a mistake in interpreting your options. Let's double-check the original equation and steps:
The original equation was \( \frac{17}{3f} - 1 = 1 \):
Rearranging gives:
\[
\frac{17}{3f} = 2 \Rightarrow 17 = 2 \cdot 3f \Rightarrow 17 = 6f \Rightarrow f = \frac{17}{6}
\]
This confirms that the value of \(f\) is \(\frac{17}{6}\). However, since none of the response options match, I suspect there may be an error or miscommunication in the provided choices or the equation itself.
Please double-check to confirm the equation or options provided so I can assist you further!
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