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The discriminant of a quadratic function is found by using this formula:
D = b² - 4ac
Once you substitute the values into the formula, there are three ways your answer can be interpreted.
1. If the discriminant is positive, then there are two rational solutions.
2. If the discriminant is negative, then there are no rational solutions.
3. If the discriminant is equal to zero, then there is only one rational solution.
Given the equation, 2x² + 14x + 11 = 0, a = 2, b = 14, and c = 11.
14² - 4(2)(11)
196 - 88 = 108
Since the discriminant, 108, is a positive integer, the answer is C, there are two rational solutions.
Answer:
False
Step-by-step explanation:
Slope intercept form is y=mx+b where x is our slope and b is our y value. Thefore, 3 is our y value not 4.
Answer: 30 pounds of coffee beans worth $10.50 per pound was used.
20 pounds of coffee beans worth $13.00 per pound was used.
Step-by-step explanation:
Let x represent the number of coffee beans worth $10.50 per pound that should be mixed.
Let y represent the number of coffee beans worth $13.00 per pound that should be mixed.
50 pounds of beans worth $11.50 per pound is to be made. The total cost of the mixture would be
50 × 11.5 = 575
This means that
10.5x + 13y = 575 - - - - - - - 1
The total number of pounds of each type of coffee used is 50. This means that
x + y = 50
Substituting x = 50 - y into equation 1, it becomes.
10.5(50 - y) + 13y = 575
525 - 10.5y + 13y = 575
- 10.5y + 13y = 575 - 525
2.5y = 50
y = 50/2.5 = 20
x = 50 - 20= 30
Answer:
The greatest common factor or highest common factor of any set of numbers is the largest possible number which divides both the numbers exactly. HCF of 24 ..
Step-by-step explanation: