C= the price of a cheeseburger and l = the price of a lemonade:
![3c + 2l=14\\2c+4l=12](https://tex.z-dn.net/?f=3c%20%2B%202l%3D14%5C%5C2c%2B4l%3D12)
Divide the second equation by -2 to begin the process of solving by elimination:
![3c + 2l=14\\-1/2\ (2c+4l=12)\\\\3c+2l=14\\-c-2l=-6\\\\2c=8\\c=4](https://tex.z-dn.net/?f=3c%20%2B%202l%3D14%5C%5C-1%2F2%5C%20%282c%2B4l%3D12%29%5C%5C%5C%5C3c%2B2l%3D14%5C%5C-c-2l%3D-6%5C%5C%5C%5C2c%3D8%5C%5Cc%3D4)
Now that we have c, 4, we can plug it in to one of the equations to find l:
![3c + 2l=14\\3(4)+2l=14\\12+2l=14\\2l=2\\l=1](https://tex.z-dn.net/?f=3c%20%2B%202l%3D14%5C%5C3%284%29%2B2l%3D14%5C%5C12%2B2l%3D14%5C%5C2l%3D2%5C%5Cl%3D1)
So, each cheeseburger is $4 and each lemonade is $1. The final answer is:
1 cheeseburger and 2 cups of lemonade would cost $6.
Answer:
y = -2x + 3
Step-by-step explanation:
Let's just put the three points together.
(-1, 5) (-4, 11) (-7, 17)
First, let's find the slope with y2 - y1/x2 - x1
Plug in using (-1, 5) and (-4, 11)
11 - 5/-4 + 1 = 6/-3 (simplify)
-2 is the slope
Now plug in (-7, 17) in the equation to get b or the y-intercept)
y = mx + b
17 = -2(-7) + b
17 = 14 + b (subtract 14 on both sides)
3 = b
y = -2x + 3
Answer:
-6
Step-by-step explanation:
14x+6=2(5+7x)
14x+6=10+14x
14x-14x=10-16
x= -6
Answer:
D
Step-by-step explanation:
P(A)=0.3
P(B)=0.1
P(A)×P(B)=0.3×0.1=0.03
P(A and B)=P(A)×P(B)
They are independent.
Answer:
x=2
Step-by-step explanation: