Here are the coefficients for each quadratic equation:
1. Y = -400p² + 12,400p - 50,000
- a = -400
- b = 12,400
- c = -50,000
2. Y = 37p² + 8,800p - 25,000
- a = 37
- b = 8,800
- c = -25,000
3. Y = -170p² + 88,800p - 55,000
- a = -170
- b = 88,800
- c = -55,000
4. Y = -185p² + 9,000p
- a = -185
- b = 9,000
- c = 0 (no constant term)
5. Y = -275p² + 6,500
- a = -275
- b = 0 (no linear term)
- c = 6,500
Let's break down the given quadratic equations and identify the coefficients a, b, and c for each equation:
1. Y = -400p² + 12,400p - 50,000
- a = -400 (coefficient of p²
- b = 12,400 (coefficient of p
- c = -50,000 (constant term)
2. Y = 37p² + 8,800p - 25,000
- a = 37
- b = 8,800
- c = -25,000
3. Y = -170p² + 88,800p - 55,000
- a = -170
- b = 88,800
- c = -55,000
4. Y = -185p² + 9,000p
- a = -185
- b = 9,000
- c = 0 (no constant term)
5. Y = -275p² + 6,500 \)
- a = -275
- b = 0 (no linear term)
- c = 6,500 (constant term)
These coefficients represent the quadratic p², linear p, and constant terms in each equation, respectively. If you have any specific questions about the steps or if there's anything else you'd like to know, feel free to ask!
The probable question can be:
"Using the following table of contents for quadratic equations, find the values of a, b, and c in the quadratic equations:
1. \( Y = -400p^2 + 12,400p - 50,000 \)
2. \( Y = 37p^2 + 8,800p - 25,000 \)
3. \( Y = -170p^2 + 88,800p - 55,000 \)
4. \( Y = -185p^2 + 9,000p \)
5. \( Y = -275p^2 + 6,500 \)
For each equation, identify the coefficients of the quadratic term (a), the linear term (b), and the constant term (c)."