A quadratic with roots at 8 and 5 is f(x) = x^2 +12x + 20
In order to find an equation given roots you can create statements that equal 0 in order to create parenthesis. For instance we know x = 8 at one point. So, we can solve that to equal 0.
x = -2 ----> add 2 to both sides
x + 2 = 0
We can do the same for the other zero.
x = -10 ----> add 10 to both sides
x + 10 = 0
Now that we have both of these, we can multiply these two things together. This will give us the function we need.
f(x) = (x + 2)(x + 10)
f(x) = x^2 + 10x + 2x + 20
f(x) = x^2 + 12x + 20
tan(x) = 10/60
tan(x) = 1/6
tan(x) = a -> x = arctan(a) + πn
x = arctan(1/6) + πn
x = 0.165 + πn
Best of Luck!
It would be 12 because it's twice it's number so it's multiplying and is less than 20.
Hello,
x= number of points for each multiple choice question correct
L= Louann's score
C= Carla's score
Louann got 14 multiple choice questions correct and 24 points for her essay, so:
Carla got 16 multiple choice questions correct and 14 points for her essay, so:
But we know that they got the same score, then:
Answer: Each multiple choice question was 5 points
Step-by-step explanation:
Then collect like terms
answer is x = 4