Solution:
Given:
The domain of a function is the set of input values that make the function real and defined.
Hence, we need to find the singularity or undefined points of the function.
The function H(x) will be undefined when the denominator is 0.
Thus, singularity exists at;
The function is therefore defined at all other values except at the undefined points.
Hence,
Therefore, the domain of the function H(x) is;
Let, the age of Mary = M
Age of John = J = 2M
System of Equation would be: M + J = 52
or M + 2M = 52
3M = 52
M = 52/3
M = 17 1/3 Years
J = 34 2/3 Years
Hope this helps!
Answer: B. This is sometimes true.
Step-by-step explanation:
A positive correlation between 2 variables means that they generally move in the same direction meaning that as one variable rises, the other rises as well and as the other falls, the other falls as well.
However, the correlation can be strong, weak or anything in-between. This means that just because one variable increases by 12 does not mean the other would as well. It could increase by 1 alone and still have a positive correlation albeit a small one.
Therefore, if the value of one variable is above the mean, it doesn't always follow that the other with a positive correlation will as well as they just might not have that strong a correlation.
