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10-12-2022
Mathematics

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1. Determine the restrictions on the y-intercept so that y = 3x² + 6x - 1 intersects with a line with slope 2 in more than one place.

2. A quadratic function has roots 3 and - 5, which passes through the point (1, 5). Under what conditions will it intersect with a line of slope -4 once? Twice? Never?

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