Answer: the solutions to the system of equations are x = 2 and x = 1
Step-by-step explanation:
The system of equations given equation is
y = 3x - 2 - - - - - - - - - - 1
y = x^2 - - - - - - - - - - - - 2
Substituting 1 into equation 2, it becomes
x^2 = 3x - 2
x^2 - 3x + 2 = 0
We would apply the method of factorization in solving the equation. We will get two numbers such that when added, the result would be - 3x and when multiplied, the result would be 2x^2. The numbers are - 2x and - x. It becomes
x^2 - 2x - x + 2 = 0
x(x - 2) - 1(x - 2) = 0
(x - 2)(x - 1) = 0
x - 2 = 0 or x - 1 = 0
x = 2 or x = 1
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Answer:
35 students
Step-by-step explanation:
So if every 3 boys there is 4 girls you can solve that there is 5 times the amount of girls to get to 20. So to solve for the boys you do the same.
3 x 5 = 15
That means there are 15 boys and 20 girls but we want to know the total so what you do is just add 15+20=35
So 35 total students.
Hope that helps and have a great day!
Answer:
$127.5
Step-by-step explanation:
15% of $850 is 850 times .15 (% is decimal multiplied by 100)
850 * .15 = $127.50
