Answer:
(8,4)
Step-by-step explanation:
y and -y cancels out leaving you with "12x=96"
that simplifies to "x=8"
Then you substitute 8 into the "x" from either equation and y should equal 4
Answer: (x 1 ,y 1)=(2,3) and (x 2,y 2)=(4,7)by midpoint formula, coordinates of mid point =( 2x 1+x 2, 2y 1 +y 2)=( 22+4, 23+7 )=( 26 , 210)=(3,5).
Step-by-step explanation: Hope this helps
Answer:
Option C) a positive correlation.
Step-by-step explanation:
We are given the following in the question:
" People who tend to score low on one variable tend to score low on another variable."
Correlation:
- Correlation is a technique that help us to find or define a linear relationship between two variables.
- It is a measure of linear relationship between two quantities.
- A positive correlation means that an increase in one quantity leads to an increase in another quantity or decrease in one quantity leads to decrease in another quantity.
- A negative correlation means with increase in one quantity the other quantity decreases.
- +1 tells about a a perfect positive linear relationship and −1 indicates a perfect negative linear relationship.
Since, for the given case with decrease in one variable other also decreases, thus, it is an example of positive correlation. Thus, the correlation coefficient cannot be less than or equal to zero.
Thus, the correct answer is
Option C) a positive correlation.
Answer:
y = 5
Step-by-step explanation:
The y-axis and any lines that are parallel to it are vertical. Therefore, a line that would be perpendicular to the y-axis would need to be horizontal. All horizontal lines have a slope equal to 0 and are represented by the equation y = a constant, or a single number with no variables.
The only option that follows that format is y = 5, thus that is the answer.
The function
... y = 1/x
has derivative
... y' = -1/x²
which has no zeros. It is undefined at x=0, the only critical point. The derivative is negative for all values of x, so the function is decreasing everywhere in its domain.
Your function
... y = (x+1)/(x-3)
can be written as
... y = 1 +4/(x-3)
which is a version of y = 1/x that has been vertically scaled by a factor of 4, then shifted 1 unit up and 3 units to the right. Shifting the function to the right means x=3 is excluded from the domain (and the interval on which the function is decreasing).
The critical point is x=3.
The function is decreasing on (-∞, 3) ∪ (3, ∞), increasing nowhere.
