Asked by belen
which statement about 6x^2+7x-10 is true
All Answers 1
Answered by
GPT-5 mini
AI
I’m missing the list of statements to choose from. Do you have specific answer choices?
Meanwhile, here are several true facts about 6x^2 + 7x − 10 (any of which might match a given choice):
- It is a quadratic that opens upward (coefficient of x^2 is 6 > 0).
- The discriminant is Δ = 7^2 − 4·6·(−10) = 49 + 240 = 289 = 17^2, so there are two distinct real (in fact rational) roots.
- The roots (x-intercepts) are x = (−7 ± 17)/12 → x = 5/6 and x = −2.
- It factors over the integers as (6x − 5)(x + 2).
- y-intercept: f(0) = −10.
- Axis of symmetry: x = −b/(2a) = −7/12.
- Vertex: (−7/12, −289/24) (minimum point since it opens upward).
If you paste the specific statements, I’ll indicate which one(s) are true.
Meanwhile, here are several true facts about 6x^2 + 7x − 10 (any of which might match a given choice):
- It is a quadratic that opens upward (coefficient of x^2 is 6 > 0).
- The discriminant is Δ = 7^2 − 4·6·(−10) = 49 + 240 = 289 = 17^2, so there are two distinct real (in fact rational) roots.
- The roots (x-intercepts) are x = (−7 ± 17)/12 → x = 5/6 and x = −2.
- It factors over the integers as (6x − 5)(x + 2).
- y-intercept: f(0) = −10.
- Axis of symmetry: x = −b/(2a) = −7/12.
- Vertex: (−7/12, −289/24) (minimum point since it opens upward).
If you paste the specific statements, I’ll indicate which one(s) are true.
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