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- Determine if each quadratic function will intersect once, twice, or not at all with the given linear function.
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- Determine the coordinates of the point(s) of intersection of each linear-‐quadratic system.
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- Determine the value of the y-‐intercept of a line with the given slope that is a tangent line to the given curve.
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- The path of an underground stream is given by the function $𝑦 = 4𝑥^2 + 17𝑥 − 32$. Two new houses need wells to be dug. On the area plan, these houses lie on a line defined by the equation $𝑦 = −15𝑥 + 100$. Determine the coordinates where the two new wells should be dug
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