A nut mixture of peanuts and pecans at a small fair is $1.00 per pound of peanuts and $2.85 per pound of pecans. Over the entire
day, 97 pounds of the nut mixture were sold for $254.25. If p is the number peanuts and n is the number of pecans, then the system of equations that models this scenario is: p+n=97p+2.85n=254.25 Determine the correct description and amount of pounds for peanuts and pecans that were sold.
1 answer:
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Answer: Discriminant.
Step-by-step explanation:
1. The quadratic formula is:
2. And the discriminant is inside the square root:
2. Then, if the discriminant is negative, the quadratic equation does not have real solutions, it has two imaginary solutions. If the discriminant is zero the quadratic has one solution. If the discriminant is positive, the quadratic equation has two distinct solutions.