Answer:
B. 30x
D. x(45-15)
Step-by-step explanation:
The distributive property lets you factor out the common factor of x. The sum of coefficients can be simplified to a single coefficient.
45x -15x = x(45 -15) = 30x
Given:
Amount of money in Tereka’s account : 
Amount of money in Emma’s account : 
To find:
The difference between initial amounts Tereka and Emma deposit.
Solution:
Substitute x=0 in the given functions, to get the initial amount of money they deposit.



So, the initial amount Tereka deposit is $472.



So, the initial amount Emma deposit is $485.
Difference between the initial amounts Tereka and Emma deposit is

Therefore, the difference between initial amounts Tereka and Emma deposit is $13. Emma deposit $13 more than Tereka.
Using a calculator, inserting the values of x and y, the correlation coefficient for the given data-set is of -0.9422.
<h3>How to find the correlation coefficient of a data-set?</h3>
Using a calculator, the correlation coefficient is found inserting the ordered pairs (x,y) in the calculator.
In this problem, we have that:
- The values of x are: 0.5, 1, 1.5, 2, 2.5, 3, 3.5, 4, 4.5, 5.
- The values of y are: 112.5, 110.875, 106.8, 100.275, 91.3, 79.875, 70.083, 59.83, 30.65, 0.
Hence, using a calculator, the correlation coefficient is of -0.9422.
More can be learned about correlation coefficients at brainly.com/question/25815006
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Answer:
8
Step-by-step explanation:
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