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How many ordered pair solutions does a quadratic function typically have within the realm of a parabola?

a) One solution
b) Two solutions
c) Infinite solutions
d) No solutions

User Manash
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1 Answer

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Final answer:

A quadratic function typically has two ordered pair solutions, determined by the discriminant ∅ (delta) in the quadratic formula.

Step-by-step explanation:

The number of ordered pair solutions a quadratic function typically has within the realm of a parabola depends on the discriminant ∅ (delta), which is derived from the quadratic formula. The standard form of a quadratic equation is ax² + bx + c = 0. Using the quadratic formula, which is x = −b ± √(b² - 4ac) / (2a), we can determone the discriminant as the part under the square root, b² - 4ac. For a quadratic equation with constants a = 1.00, b = 10.0, and c = -200, the discriminant is positive, which generally leads to two solutions. Hence, a quadratic function generally has two ordered pair solutions.

User Itzhar
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