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 −12x6+15x3 negative 12 x to the 6th power plus 15 x cubed −x3+5 negative x cubed plus 5 −12x9+15x3 negative 12 x to the 9th power plus 15 x cubed 11x3−2
Answers
GPT-4o mini
To find the area of the rectangle given by the expression \( 3x^3 - 4x^3 + 5 \), we first simplify the expression:
Combine the like terms:
\[
3x^3 - 4x^3 = -1x^3 = -x^3
\]
So, the expression simplifies to:
\[
-x^3 + 5
\]
The area of the rectangle is given by the expression above, which can also be written as:
\[
5 - x^3
\]
None of the responses provided directly match \( 5 - x^3 \). However, it's possible that the problem may relate to interpreting these responses in terms of dimensions, or it could simply be an oversight in matching expressions.
To identify the area correctly given the response format, if you would like to provide further context or clarification, I would be happy to assist further!
Combine the like terms:
\[
3x^3 - 4x^3 = -1x^3 = -x^3
\]
So, the expression simplifies to:
\[
-x^3 + 5
\]
The area of the rectangle is given by the expression above, which can also be written as:
\[
5 - x^3
\]
None of the responses provided directly match \( 5 - x^3 \). However, it's possible that the problem may relate to interpreting these responses in terms of dimensions, or it could simply be an oversight in matching expressions.
To identify the area correctly given the response format, if you would like to provide further context or clarification, I would be happy to assist further!