Answer:
2. B) The events have a strong positive linear correlation.
1. C) Find the slope using the slope formula:
![\frac{y_2 - y_1}{x_2 - x_1}](https://tex.z-dn.net/?f=%5Cfrac%7By_2%20-%20y_1%7D%7Bx_2%20-%20x_1%7D)
Step-by-step explanation:
2. The correlation coefficient is 0,02, which is positive, so this would be the obvious choice.
1. You CANNOT write a linear equation without FIRST finding the rate of change [slope]. You will ALWAYS need the rate of change in order to write any linear equation.
I am joyous to assist you anytime.
1.) Factor 9u^2-12u
![\frac{3u(3u-4)}{3u}](https://tex.z-dn.net/?f=%20%5Cfrac%7B3u%283u-4%29%7D%7B3u%7D%20)
2.) Cancel any common factors (in bold will be the terms eliminated)
![\frac{3u(3u-4)}{3u}](https://tex.z-dn.net/?f=%20%5Cfrac%7B%3Cstrong%3E3u%3C%2Fstrong%3E%283u-4%29%7D%7B%3Cstrong%3E3u%3C%2Fstrong%3E%7D%20)
Final answer is:
3u-4
Therefore, the answer is
C. 3u-4
Answer:
x=4
Step-by-step explanation:
For this case we have that the variable "x" represents the number of hours that Leticia uses to take care of children on Saturday.
IF on Friday I use 4 hours ($ 8 each) and on Saturday "x" hours ($ 8 each) obtaining a profit of $ 72, we have the following equation:
![8 (4 + x) = 72](https://tex.z-dn.net/?f=8%20%284%20%2B%20x%29%20%3D%2072)
We apply distributive property:
![32 + 8x = 72\\8x = 72-32\\8x = 40\\x = \frac {40} {8}\\x = 5](https://tex.z-dn.net/?f=32%20%2B%208x%20%3D%2072%5C%5C8x%20%3D%2072-32%5C%5C8x%20%3D%2040%5C%5Cx%20%3D%20%5Cfrac%20%7B40%7D%20%7B8%7D%5C%5Cx%20%3D%205)
So, on Saturday she spent 5 hours.
Answer:
![8 (4 + x) = 72\\x = 5](https://tex.z-dn.net/?f=8%20%284%20%2B%20x%29%20%3D%2072%5C%5Cx%20%3D%205)