.(1 point)
The sum of the polynomials is
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5 answers
To simplify the expression \((14x^2 - 3x + 2.25) + (0.75x^2 + 2x - 14)\), you can combine like terms.
Combine the \(x^2\) terms: \[ 14x^2 + 0.75x^2 = 14.75x^2 \]
Combine the \(x\) terms: \[ -3x + 2x = -1x \text{ (or just } -x\text{)} \]
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 \(\boxed{14.75x^2 - x - 11.75}\).
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.
Combine the \(x^2\) terms: \[ 14x^2 + 0.75x^2 = (14 + 0.75)x^2 = 14.75x^2 \]
Combine the \(x\) terms: \[ -3x + 2x = (-3 + 2)x = -1x \text{ or simply } -x \]
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!
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.
\[ (14x^2 - 3x + 2.25) + (0.75x^2 + 2x - 14) \]
This doesn't change any signs because we are adding: \[ 14x^2 - 3x + 2.25 + 0.75x^2 + 2x - 14 \]
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: \[ 2.25 - 14 = 2.25 - 14 = -11.75 \]
Putting it together gives: \[ 14.75x^2 - x - 11.75 \]
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!
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