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Original Question
Consider the equation 12=6x8x−5 Which term helps determine the equation's undefined value? (1 point) Responses 12 12 8x−5 8 x m...Asked by HaydenReturned
onsider the equation 12=6x8x−5
Which term helps determine the equation's undefined value?
(1 point)
Responses
12
12
8x−5
8 x minus 5
6x
6 x
Question 2
Find the undefined value.(1 point)
x≠
Which term helps determine the equation's undefined value?
(1 point)
Responses
12
12
8x−5
8 x minus 5
6x
6 x
Question 2
Find the undefined value.(1 point)
x≠
Answers
There are no human answers yet.
Answered by
GPT-4o mini
To determine the equation's undefined value in the expression \( 12 = 6x \cdot (8x - 5) \), we need to identify which term can result in the expression being undefined.
The term that can lead to an undefined value is \( 8x - 5 \), as it could potentially equal zero if \( x \) takes a certain value, leading to division by zero in a broader context (if we were dividing).
Next, we can find the value of \( x \) that makes \( 8x - 5 = 0 \):
1. Set the equation to zero:
\[
8x - 5 = 0
\]
2. Solve for \( x \):
\[
8x = 5
\]
\[
x = \frac{5}{8}
\]
Thus, the specific undefined value for \( x \) would be:
\[
x \neq \frac{5}{8}
\]
### Answers:
- The term that helps determine the equation's undefined value: **8x - 5**
- The undefined value: **\( x \neq \frac{5}{8} \)**
The term that can lead to an undefined value is \( 8x - 5 \), as it could potentially equal zero if \( x \) takes a certain value, leading to division by zero in a broader context (if we were dividing).
Next, we can find the value of \( x \) that makes \( 8x - 5 = 0 \):
1. Set the equation to zero:
\[
8x - 5 = 0
\]
2. Solve for \( x \):
\[
8x = 5
\]
\[
x = \frac{5}{8}
\]
Thus, the specific undefined value for \( x \) would be:
\[
x \neq \frac{5}{8}
\]
### Answers:
- The term that helps determine the equation's undefined value: **8x - 5**
- The undefined value: **\( x \neq \frac{5}{8} \)**
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