Answer :
Final answer:
To translate the verbal statement 'Eight more than the quotient of a number squared and eleven' into an algebraic expression, we can represent the number as x and then write the expression as [tex]x^2[/tex]/11 + 8.
Explanation:
To translate the verbal statement 'Eight more than the quotient of a number squared and eleven' into an algebraic expression, we can break it down:
- Let's say the number is represented by x.
- The squared value of the number can be written as [tex]x^2[/tex].
- The quotient of the squared value of the number and eleven is [tex]x^2[/tex]/11.
- Adding eight more to the above expression gives us the final algebraic expression: [tex]x^2[/tex]/11 + 8.
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Answer:
x²/11 + 8
Step-by-step explanation:
We can decipher this algebraic expression going step by step.
1) "Eight more", meaning +8 (we can add this on later).
2) The "quotient of a number (x) squared and eleven", a quotient by definition means the answer to a quantity divided by another. The quantity in this case being x² divided by 11 (so, x²/11).
3) We can combine both of these, getting x²/11 + 8.
Your expression is x²/11 + 8.
- Similarly, you could reposition this equation like 8 + x²/11 (due to the communicative property of addition). Both answers would be acceptable.
