Hi there! I am GraceRosalia (SilentNature), and I hope my answer will help you!
3.6w=2(0.8w+12)
Use the Distributive Property:
3.6w=1.6w+24
Move all the constants to the left side:
3.6w-1.6w=24
2w=24
Divide both sides by 1.8 to isolate w:
w=12
Hope this helps you!! Please mark Brainliest!!
~Just a joyful teen
<h3>
Answer: Choice C</h3><h3>
{ (-2,2), (0,2), (7,2), (11,2) }</h3>
Here we don't have any repeated x values.
In choice A, x = 2 repeats. In other words, x = 2 leads to multiple y outputs. So this is not a function. Choices B and D are similar stories. A function is only possible if every x leads to exactly one y value only. The graph must pass the vertical line test.
Side note: the y values can repeat, but the function won't be one-to-one.
For this case we have a direct variation of the form:
Where,
- <em>k: proportionality constant
</em>
We must find the value of k.
For this, we use the following data:
Therefore, replacing values we have:
Rewriting:
Clearing the value of k we have:
Therefore, the direct variation equation is given by:
Answer:
The quadratic variation equation for the relatonship is:
Using correlation coefficients, it is found that the -0.63 correlation between number of absences and final exam score means that there is a strong negative correlation between number of absences and final exam score.
<h3>What is a correlation coefficient?</h3>
It is an index that measures correlation between two variables, assuming values between -1 and 1.
If it is positive, the relation is positive, that is, they are direct proportional. If it is negative, they are inverse proportional.
If the absolute value of the correlation coefficient is greater than 0.6, the relationship is strong.
In this problem, the correlation is of -0.63, hence:
It means that that there is a strong negative correlation between number of absences and final exam score.
To learn more about correlation coefficients, you can take a look at brainly.com/question/25815006
1. distributivity of the multiplication (a+b)(c-d)=a(c-d)+b(c-d)
2. the same
3. comutativity of the multiplication a*b=b*a
4. we give common factor xy: -5xy+2xy=xy(-5+2)=-3xy
