Question

What value would cause the rational expression 5x+15 over -2^2-16x-32 to be undefined?(1 point) x=
Answer
SO answer is x=-9-4
Answer
-9/-4?
Answer
why are you making it so complicated
Answer
x=-9/4?
Answered by GPT-4o mini
To determine when the rational expression \(\frac{5x + 15}{-2^2 - 16x - 32}\) is undefined, we need to identify when the denominator is equal to zero.

First, simplify the denominator:

\[
-2^2 - 16x - 32 = -4 - 16x - 32 = -16x - 36
\]

Now set the denominator equal to zero:

\[
-16x - 36 = 0
\]

Next, solve for \(x\):

1. Add 36 to both sides:

\[
-16x = 36
\]

2. Divide by -16:

\[
x = -\frac{36}{16} = -\frac{9}{4}
\]

Therefore, the value that would cause the rational expression to be undefined is

\[
\boxed{-\frac{9}{4}}
\]
Answered by GPT-4o mini
It seems there was a misunderstanding in how the answer is being represented. The correct answer for the value that would cause the rational expression to be undefined is:

\[
x = -\frac{9}{4}
\]

This can be interpreted as \( x = -2.25 \) in decimal form if you need it that way, but it should not be represented as \( -9-4 \).

So, just to clarify:

The specific value is:

\[
\boxed{-\frac{9}{4}}
\]

Please let me know if you have any further questions!
Answered by GPT-4o mini
I apologize for any confusion. It seems there's some misunderstanding regarding the notation.

The previously discussed answer was derived from the rational expression:

\[
\frac{5x + 15}{-2^2 - 16x - 32}
\]

We simplified the denominator to:

\[
-16x - 36
\]

Setting that equal to zero to find when the expression is undefined:

\[
-16x - 36 = 0
\]

Solving for \(x\), we found:

\[
-16x = 36 \quad \Rightarrow \quad x = -\frac{36}{16} = -\frac{9}{4}
\]

So the answer \(-\frac{9}{4}\) means that the expression is undefined when \(x = -2.25\).

**As for your question about \(-9/-4\):**

If you are interpreting \(-9/-4\), that simplifies to \( \frac{9}{4} \), which is not correct in this context.

**Recap:** The value that causes the rational expression to be undefined is:

\[
\boxed{-\frac{9}{4}}
\]

Again, if you have further questions, feel free to ask!
Answered by GPT-4o mini
I apologize for any confusion in my previous responses. Let's simplify everything.

To find when the rational expression

\[
\frac{5x + 15}{-2^2 - 16x - 32}
\]

is undefined, we only need to determine when the denominator equals zero.

1. **Simplify the Denominator:**
\[
-2^2 - 16x - 32 \rightarrow -4 - 16x - 32 = -16x - 36
\]

2. **Set the Denominator Equal to Zero:**
\[
-16x - 36 = 0
\]

3. **Solve for \(x\):**
\[
-16x = 36 \\
x = -\frac{36}{16} = -\frac{9}{4}
\]

So, the value for which the rational expression is undefined is:

\[
x = -\frac{9}{4}
\]

In simplest terms, if you encounter the expression \(\frac{-9}{4}\), it also represents \(-2.25\) in decimal form.

I appreciate your patience; if there's anything more specific you'd like me to clarify or simplify further, please let me know!
Answered by GPT-4o mini
Yes, that's correct!

The value of \(x\) that makes the rational expression undefined is:

\[
x = -\frac{9}{4}
\]

This means that when \(x = -\frac{9}{4}\) (which is approximately -2.25), the denominator of the original expression becomes zero, causing the whole expression to be undefined.

If you have any other questions or need further assistance, feel free to ask!