One weighs a pound and the other pounds away!
Answer:
![(3)\ y = -x](https://tex.z-dn.net/?f=%283%29%5C%20y%20%3D%20-x)
![(5)\ y = -3x -2](https://tex.z-dn.net/?f=%285%29%5C%20y%20%3D%20-3x%20-2)
Step-by-step explanation:
Required
The equation in slope intercept form
Solving (3):
![m = -1](https://tex.z-dn.net/?f=m%20%3D%20-1)
![(x_1,y_1) =(4,-4)](https://tex.z-dn.net/?f=%28x_1%2Cy_1%29%20%3D%284%2C-4%29)
The equation in slope intercept form is:
![y = m(x - x_1) + y_1](https://tex.z-dn.net/?f=y%20%3D%20m%28x%20-%20x_1%29%20%2B%20y_1)
This gives:
![y = -1(x - 4) -4](https://tex.z-dn.net/?f=y%20%3D%20-1%28x%20-%204%29%20-4)
Expand
![y = -x + 4 -4](https://tex.z-dn.net/?f=y%20%3D%20-x%20%2B%204%20-4)
![y = -x](https://tex.z-dn.net/?f=y%20%3D%20-x)
Solving (5):
![m = -3](https://tex.z-dn.net/?f=m%20%3D%20-3)
![(x_1,y_1) = (1,-5)](https://tex.z-dn.net/?f=%28x_1%2Cy_1%29%20%3D%20%281%2C-5%29)
The equation in slope intercept form is:
![y = m(x - x_1) + y_1](https://tex.z-dn.net/?f=y%20%3D%20m%28x%20-%20x_1%29%20%2B%20y_1)
This gives:
![y = -3(x - 1) - 5](https://tex.z-dn.net/?f=y%20%3D%20-3%28x%20-%201%29%20-%205)
Expand
![y = -3x + 3 - 5](https://tex.z-dn.net/?f=y%20%3D%20-3x%20%2B%203%20-%205)
![y = -3x -2](https://tex.z-dn.net/?f=y%20%3D%20-3x%20-2)
Answer: There is a 30% chance Ricky will pull out a quarter
Step-by-step explanation:
This problem is quite simple, really. Okay, so first we're gonna figure out how many items in total there are. He has 3 quarters, 5 dimes, and 2 nickels. So 3+5+2 is equal to 10. Since there is 3 quarters out of the 10 different options, here is how many quarters are in the bag (aka the probability that Ricky will pull out a quarter): 3/10. 3/10 is the same thing as 30%, so there is a 30 percent chance Ricky will pull out a quarter.
D is the answer to your question