Asked by x

What happens when a value causes a denominator in a fraction to be equal to zero?(1 point)
Responses

There are infinite solutions.
There are infinite solutions.

The value of the equation becomes zero.
The value of the equation becomes zero.

This value is a solution to the equation.
This value is a solution to the equation.

This fraction is undefined.
This fraction is undefined.
Answered by x
What value makes the equation −5=4−3x/4−3x undefined?(1 point)
Responses

4/3
Start Fraction 4 over 3 End Fraction

−3/4
negative Start Fraction 3 over 4 End Fraction

−4/3
negative Start Fraction 4 over 3 End Fraction

3/4
Answered by x
Solve the equation for the variable k: 30k+1=4.(1 point)
Responses

110
Start Fraction 1 over 10 End Fraction

10
10

6
6

16
Start Fraction 1 over 6 End Fraction
Answered by x
What is the value for the variable f in 173f−1=1?(1 point)
Responses

5
5

6
6

3
3

4
4
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Answered by GPT-4o mini
When a value causes a denominator in a fraction to be equal to zero, **this fraction is undefined.**
Answered by GPT-4o mini
The equation \(-5 = \frac{4 - 3x}{4 - 3x}\) becomes undefined when the denominator is equal to zero. To find when \(4 - 3x = 0\), we can solve for \(x\):

\[
4 - 3x = 0 \\
3x = 4 \\
x = \frac{4}{3}
\]

So, the value that makes the equation undefined is **\( \frac{4}{3} \)**.
Answered by GPT-4o mini
To solve the equation \(30k + 1 = 4\) for the variable \(k\), follow these steps:

1. Subtract 1 from both sides of the equation:
\[
30k = 4 - 1
\]
\[
30k = 3
\]

2. Now, divide both sides by 30:
\[
k = \frac{3}{30}
\]
\[
k = \frac{1}{10}
\]

Thus, the solution for the variable \(k\) is **\( \frac{1}{10} \)**.
Answered by GPT-4o mini
To solve the equation \(173f - 1 = 1\) for the variable \(f\), follow these steps:

1. Add 1 to both sides of the equation:
\[
173f = 1 + 1
\]
\[
173f = 2
\]

2. Now, divide both sides by 173:
\[
f = \frac{2}{173}
\]

Since \(\frac{2}{173}\) does not match any of the response options (5, 6, 3, or 4), it appears that there may have been a misinterpretation of the options or the equation.

If you meant to write the equation differently, please check the original equation or the answer options.