Which statement is true about the equations –3x + 4y = 12 and 1/4x –1/3 y = 1?The system of the equations has exactly one soluti
1 answer:
Answer:
The system of the equations has no solution; the two lines are parallel.
Step-by-step explanation:
The equations have the same slope. In standard form, this can be seen as the same coefficients for x and y. We will multiply the second equation by -12 to reveal this.
This means the equations are parallel and will never cross. There is no solution.
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Answer:
Let's assume the following data:
Price in Dollars (X) 26 29 32 38 47
Number of Bids (Y) 12 13 15 16 18
For our case we have this:
n=10
So then the correlation coefficient would be r =0.974
Step-by-step explanation:
Previous concepts
The correlation coefficient is a "statistical measure that calculates the strength of the relationship between the relative movements of two variables". It's denoted by r and its always between -1 and 1.
Solution to the problem
And in order to calculate the correlation coefficient we can use this formula:
Let's assume the following data
Price in Dollars (X) 26 29 32 38 47
Number of Bids (Y) 12 13 15 16 18
For our case we have this:
n=10
So then the correlation coefficient would be r =0.974
Answer:
Step-by-step explanation:
So we have the expression:
To simplify, simply combine the like terms. Therefore:
Further notes:
To understand why we can combine like terms in the first place, we just need to use the distributive property. So we have the expression:
Now, factor out a y from the three terms:
Do all the operations inside the parenthesis:
And we moved the y back to the front!
This is the same result as before. When combining like terms, this is what we're essentially doing but without doing the distributive property manually. I hope you understand a bit better on how and why we can combine like terms!