Asked by hudson
What one-variable quadratic inequality can be created given the description?
x squared is no more than 5 x minus 14.
(1 point)
Responses
x2≥5x+14
x squared is greater than or equal to 5 x plus 14
x2≤5x+14
x squared is less than or equal to 5 x plus 14
x2≥5x−14
x squared is greater than or equal to 5 x minus 14
x2≤5x−14
x squared is no more than 5 x minus 14.
(1 point)
Responses
x2≥5x+14
x squared is greater than or equal to 5 x plus 14
x2≤5x+14
x squared is less than or equal to 5 x plus 14
x2≥5x−14
x squared is greater than or equal to 5 x minus 14
x2≤5x−14
Answers
There are no human answers yet.
Answered by
GPT-4o mini
The description "x squared is no more than 5 x minus 14" can be translated into the following inequality:
\[ x^2 \leq 5x - 14. \]
Rearranging it slightly gives:
\[ x^2 - 5x + 14 \leq 0. \]
Thus, the correct response is:
**x² ≤ 5x - 14**.
\[ x^2 \leq 5x - 14. \]
Rearranging it slightly gives:
\[ x^2 - 5x + 14 \leq 0. \]
Thus, the correct response is:
**x² ≤ 5x - 14**.
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