Answer:
y = 2.5x - 8
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 2.5 and c = - 8 , then
y = 2.5x - 8 ← equation of line
Answer:
There should be 10 l of 25% orange juice and 5 l of 10% orange juice.
Step-by-step explanation:
Let the amount of the 25% orange juice be "x", while the amount of the 10% one be "y". The sum of these must be equal to 15 l, therefore:
![x + y = 15](https://tex.z-dn.net/?f=x%20%2B%20y%20%3D%2015)
The sum of the concentration of juice on each can must be equal to the final product, therefore:
![25\%*x + 10\%*y = 15*20\%\\0.25*x + 0.1*y = 3](https://tex.z-dn.net/?f=25%5C%25%2Ax%20%2B%2010%5C%25%2Ay%20%3D%2015%2A20%5C%25%5C%5C0.25%2Ax%20%2B%200.1%2Ay%20%3D%203)
We can now solve the system of equations as shown below:
![\left \{ ({{x + y=15})*(-0.1) \atop {0.25*x + 0.1*y=3}} \right. \\\left \{ {{-0.1*x - 0.1*y=-1.5} \atop {0.25*x + 0.1*y=3}} \right. \\-0.1*x + 0.25*x = 3 - 1.5\\0.15*x = 1.5\\x = \frac{1.5}{0.15} = 10\\y = 15 - x = 15 - 10 = 5](https://tex.z-dn.net/?f=%5Cleft%20%5C%7B%20%28%7B%7Bx%20%2B%20y%3D15%7D%29%2A%28-0.1%29%20%5Catop%20%7B0.25%2Ax%20%2B%200.1%2Ay%3D3%7D%7D%20%5Cright.%20%5C%5C%5Cleft%20%5C%7B%20%7B%7B-0.1%2Ax%20-%200.1%2Ay%3D-1.5%7D%20%5Catop%20%7B0.25%2Ax%20%2B%200.1%2Ay%3D3%7D%7D%20%5Cright.%20%5C%5C-0.1%2Ax%20%2B%200.25%2Ax%20%3D%203%20-%201.5%5C%5C0.15%2Ax%20%3D%201.5%5C%5Cx%20%3D%20%5Cfrac%7B1.5%7D%7B0.15%7D%20%3D%2010%5C%5Cy%20%3D%2015%20-%20x%20%3D%2015%20-%2010%20%3D%205)
There should be 10 l of 25% orange juice and 5 l of 10% orange juice.
I believe the answer you are looking for is 4^15. I'm not 100% sure though.
Hope it helps!