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Given the functions: y=−5x−20x−26

- Vertex: Not applicable
- Axis of Symmetry: Not applicable
- Sketch: Not applicable
- A. Imaginary roots
- B. Real roots
- C. Vertex form
- D. Quadratic function

User Phcerdan
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1 Answer

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Final answer:

The expression is a quadratic equation that may have real or imaginary roots, depending on the discriminant. The quadratic formula can be used to find its roots. Other provided examples illustrate linear equations and are not directly related to quadratic equations.

Step-by-step explanation:

The given expression appears to be a quadratic equation, which is of the form ax² + bx + c = 0. Here, the constants would align with a being the coefficient of the x² term, b being the coefficient of the x term, and c being the constant term. To determine if an equation has real roots or imaginary roots, you can calculate the discriminant (Δ), which is b² - 4ac. If the discriminant is positive, the equation has two distinct real roots; if it is zero, there is one real root (also known as a repeated or double root); and if it is negative, the equation has two imaginary roots.

For quadratic equations, there can be a vertex form, which is y = a(x - h)² + k, where (h, k) is the vertex of the parabola. However, without further information on the structure of the original equation provided, stating whether it could have a vertex form or identifying the vertex is not applicable.

For a linear equation, the general form is y = mx + b, where m is the slope and b is the y-intercept. According to the information in Practice Test 4, equations A, B, and C under item 1 are linear since each presents a single power of x, which is x to the first power (i.e., a straight-line equation).

User Drumsman
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