Answer:
The correct option is 3.
Step-by-step explanation:
It is given that the quantities of blue and green paints used for each mix and connected them using a line segment, as shown in the graph below:
The line have two end points A(1,2) and B(9,14).
Domain is the set of inputs. In a graph all the values of x for which the graph is defined, are domain of the function.
The line is defined from x=1 to x=9. So, the domain of the function lies between 1 to 9 (inclusive).
Therefore, option 3 is correct.
Recall Euler's theorem: if 
, then
where 
is Euler's totient function.
We have 
- in fact, 
for any 
since 
and 
share no common divisors - as well as 
.
Now,
where the 
are positive integer coefficients from the binomial expansion. By Euler's theorem,
so that
Answer: x=4
Step-by-step explanation:
-8-x=x-4x
-8-x=-3x
-8=-2x
x=4
There would be 2034 students competing in 2012.
We can write a simple equation to find this answer. Let X, be the number of students starting in 2012. Then, we multiply by 0.9 and 1.1 to get to 2014. To work backwards, just divide by 1.1, then by 0.9.
2014 / 1.1 / 0.9 = 2034
The slope of 6x + 2y = 4 is
y = -3x + 2
