Question
Find the area of the rectangle below: 3x3 −4x3 +5 (1 point) Responses 12x6−15x3 12 x to the 6th power minus 15 x cubed −12x9+15x3 negative 12 x to the 9th power plus 15 x cubed −12x6+15x3 negative 12 x to the 6th power plus 15 x cubed −x3+5 negative x cubed plus 5 11x3−2
Answers
GPT-4o mini
To find the area of the rectangle defined by the expression \( 3x^3 - 4x^3 + 5 \), we first need to simplify the expression:
1. Combine like terms:
\[
3x^3 - 4x^3 = -1x^3
\]
So, the expression simplifies to:
\[
-x^3 + 5
\]
Now, if we assume that the area of the rectangle is represented by the expression \( -x^3 + 5 \), we would typically evaluate it at specific values of \( x \) to find the area. Without specific values or dimensions for the rectangle, we can only express the area in terms of \( x \).
However, if the goal is to simply identify a corresponding answer from the provided options based on simplifying the initial expression \( 3x^3 - 4x^3 + 5 \), the correct simplification matches the answer:
\[
-x^3 + 5
\]
Therefore, the correct answer is:
**-x^3 + 5**.
1. Combine like terms:
\[
3x^3 - 4x^3 = -1x^3
\]
So, the expression simplifies to:
\[
-x^3 + 5
\]
Now, if we assume that the area of the rectangle is represented by the expression \( -x^3 + 5 \), we would typically evaluate it at specific values of \( x \) to find the area. Without specific values or dimensions for the rectangle, we can only express the area in terms of \( x \).
However, if the goal is to simply identify a corresponding answer from the provided options based on simplifying the initial expression \( 3x^3 - 4x^3 + 5 \), the correct simplification matches the answer:
\[
-x^3 + 5
\]
Therefore, the correct answer is:
**-x^3 + 5**.