Which of the following graphs shows a negative linear relationship with a correlation coefficient, r, relatively close to -1
2 answers:
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Let be the two numbers. We have two pieces of information:
(the difference between the two numbers is 2)
(their product is 224)
From the first equation, we can deduce
If we plug this expression in the second equation, we have
If you solve this equation with the usual quadratic formula you get the solutions
So, you have the following couple of solutions, recalling that x is 2 more than y:
We have to identify the function which has the same set of potential rational roots as the function .
Firstly, we will find the rational roots of the given function.
Let 'p' be the factors of 12
So, p=
Let 'q' be the factors of 3
So, q=
So, the rational roots are given by which are as:
.
Consider the first function given in part A.
f(x) =
Here also, Let 'p' be the factors of 12
So, p=
Let 'q' be the factors of 3
So, q=
So, the rational roots are given by which are as:
.
Therefore, this equation has same rational roots of the given function.
Option A is the correct answer.