Answer:
f(x) = 3x² - 15x + 12
Step-by-step explanation:
Given f(x) has roots x = a and x = b, then
(x - a) and (x - b) are the factors
f(x) is then the product of the factors
f(x) = a(x - a)(x - b) ← where a is a multiplier
Given roots are x = 4 and x = 1, then
(x - 4) and (x - 1) are the factors
With a = 3, then
f(x) = 3(x - 4)(x - 1) ← expand factors using FOIL
= 3(x² - 5x + 4) ← distribute
= 3x² - 15x + 12
Answer:
I will show the way.
Step-by-step explanation:
r is the correlation coefficient
To find SSxy
SSxy= ∑
- ∑
To find SSxx
SSxy= ∑
- 
∑x
/n
To find SSyy
SSxy= ∑
- ∑y/n
if your r is near +1, it shows strong positive correlation. Y is proportional to X.
And if it nears -1, it would show strong negative correlation. Y is inversely proportional to X.
First, you need to isolate the x in the first equation.
-x + 5y = 1
Subtract 5y from both sides, leaving you with the following equation:
-x = 1-5y
Because you are trying to solve for positive x and not negative x, you need to make x positive. Therefore you divide both sides by -1. In Algebra, when 1 is the coefficient of the variable, it is not shown, but it is still there. The new equation will be the following: x = 5y-1
Now you just need to substitute the x within the second equation for the x equation we just solved for.
Therefore, the right answer will be 2(5y-1)+4y= -4. Now, all you have to do is choose the answer that states exactly that, which is the first choice.
Answer:
60%
Because the reaming percent has to add up to 100. 60 plus 40 is 100
