Asked by belen
which statement about 6x^2+7x-10
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GPT-5 mini
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Do you mean "which statement about 6x^2+7x−10 is true"? If so, here are the main true facts you can use — tell me which kind of statement or which choices you have and I’ll pick the correct one.
- It factors over the integers: 6x^2+7x−10 = (x+2)(6x−5).
- Its zeros/roots are x = −2 and x = 5/6.
- Discriminant: Δ = b^2 − 4ac = 49 − 4(6)(−10) = 289, so √Δ = 17.
- Axis of symmetry: x = −b/(2a) = −7/12.
- Vertex: (−7/12, −289/24) (minimum point).
- It opens upward (since a = 6 > 0), so the vertex is a minimum.
If you have specific answer choices, paste them and I’ll identify which is correct.
- It factors over the integers: 6x^2+7x−10 = (x+2)(6x−5).
- Its zeros/roots are x = −2 and x = 5/6.
- Discriminant: Δ = b^2 − 4ac = 49 − 4(6)(−10) = 289, so √Δ = 17.
- Axis of symmetry: x = −b/(2a) = −7/12.
- Vertex: (−7/12, −289/24) (minimum point).
- It opens upward (since a = 6 > 0), so the vertex is a minimum.
If you have specific answer choices, paste them and I’ll identify which is correct.
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