Question
Simplify (14x2−3x+2.25)+(0.75x2+2x−14)
.(1 point)
The sum of the polynomials is
.
.(1 point)
The sum of the polynomials is
.
Answers
GPT-4o mini
To simplify the expression \((14x^2 - 3x + 2.25) + (0.75x^2 + 2x - 14)\), you can combine like terms.
1. **Combine the \(x^2\) terms:**
\[
14x^2 + 0.75x^2 = 14.75x^2
\]
2. **Combine the \(x\) terms:**
\[
-3x + 2x = -1x \text{ (or just } -x\text{)}
\]
3. **Combine the constant terms:**
\[
2.25 - 14 = -11.75
\]
Now, putting it all together, the simplified sum of the polynomials is:
\[
14.75x^2 - x - 11.75
\]
Thus, the sum of the polynomials is \(\boxed{14.75x^2 - x - 11.75}\).
1. **Combine the \(x^2\) terms:**
\[
14x^2 + 0.75x^2 = 14.75x^2
\]
2. **Combine the \(x\) terms:**
\[
-3x + 2x = -1x \text{ (or just } -x\text{)}
\]
3. **Combine the constant terms:**
\[
2.25 - 14 = -11.75
\]
Now, putting it all together, the simplified sum of the polynomials is:
\[
14.75x^2 - x - 11.75
\]
Thus, the sum of the polynomials is \(\boxed{14.75x^2 - x - 11.75}\).
wrong
GPT-4o mini
Let’s go through the simplification step by step again.
We start with the expression:
\[
(14x^2 - 3x + 2.25) + (0.75x^2 + 2x - 14)
\]
Now, we'll combine the like terms.
1. **Combine the \(x^2\) terms:**
\[
14x^2 + 0.75x^2 = (14 + 0.75)x^2 = 14.75x^2
\]
2. **Combine the \(x\) terms:**
\[
-3x + 2x = (-3 + 2)x = -1x \text{ or simply } -x
\]
3. **Combine the constant terms:**
\[
2.25 - 14 = 2.25 - 14.00 = -11.75
\]
Combining all the simplified parts, we have:
\[
14.75x^2 - x - 11.75
\]
So the correct and simplified expression is:
\[
\boxed{14.75x^2 - x - 11.75}
\]
If you have a specific point of disagreement, please let me know, and I'll clarify further!
We start with the expression:
\[
(14x^2 - 3x + 2.25) + (0.75x^2 + 2x - 14)
\]
Now, we'll combine the like terms.
1. **Combine the \(x^2\) terms:**
\[
14x^2 + 0.75x^2 = (14 + 0.75)x^2 = 14.75x^2
\]
2. **Combine the \(x\) terms:**
\[
-3x + 2x = (-3 + 2)x = -1x \text{ or simply } -x
\]
3. **Combine the constant terms:**
\[
2.25 - 14 = 2.25 - 14.00 = -11.75
\]
Combining all the simplified parts, we have:
\[
14.75x^2 - x - 11.75
\]
So the correct and simplified expression is:
\[
\boxed{14.75x^2 - x - 11.75}
\]
If you have a specific point of disagreement, please let me know, and I'll clarify further!
your answer is wrong dude
GPT-4o mini
I apologize for any confusion in my previous responses. Let’s reevaluate the expression \( (14x^2 - 3x + 2.25) + (0.75x^2 + 2x - 14) \) step by step, ensuring that we do it accurately.
### Step 1: Write down the expression:
\[
(14x^2 - 3x + 2.25) + (0.75x^2 + 2x - 14)
\]
### Step 2: Remove the parentheses:
This doesn't change any signs because we are adding:
\[
14x^2 - 3x + 2.25 + 0.75x^2 + 2x - 14
\]
### Step 3: Combine like terms:
- **For the \(x^2\) terms:**
\[
14x^2 + 0.75x^2 = 14.75x^2
\]
- **For the \(x\) terms:**
\[
-3x + 2x = -1x \text{ (or simply } -x\text{)}
\]
- **For the constant terms:**
\[
2.25 - 14 = 2.25 - 14 = -11.75
\]
### Step 4: Combine these results:
Putting it together gives:
\[
14.75x^2 - x - 11.75
\]
### Conclusion
Thus, after carefully reviewing the calculations, the simplified sum of the polynomials is:
\[
\boxed{14.75x^2 - x - 11.75}
\]
If you believe there’s a mistake in the interpretation or calculation, please let me know which part you think is incorrect!
### Step 1: Write down the expression:
\[
(14x^2 - 3x + 2.25) + (0.75x^2 + 2x - 14)
\]
### Step 2: Remove the parentheses:
This doesn't change any signs because we are adding:
\[
14x^2 - 3x + 2.25 + 0.75x^2 + 2x - 14
\]
### Step 3: Combine like terms:
- **For the \(x^2\) terms:**
\[
14x^2 + 0.75x^2 = 14.75x^2
\]
- **For the \(x\) terms:**
\[
-3x + 2x = -1x \text{ (or simply } -x\text{)}
\]
- **For the constant terms:**
\[
2.25 - 14 = 2.25 - 14 = -11.75
\]
### Step 4: Combine these results:
Putting it together gives:
\[
14.75x^2 - x - 11.75
\]
### Conclusion
Thus, after carefully reviewing the calculations, the simplified sum of the polynomials is:
\[
\boxed{14.75x^2 - x - 11.75}
\]
If you believe there’s a mistake in the interpretation or calculation, please let me know which part you think is incorrect!