The final answer is (2,1).
Step 1: Solve for either x or y in one of the two equations.
x + 3y = 5
- 3y - 3y
----------------------
x = -3y + 5
Step 2: Substitute the expression you got for x into the opposite equation.
-3y + 5 - 3y = -1
-6y + 5 = -1
- 5 - 5
--------------------
-6y = -6
------ -----
-6 6
y = 1
Step 3: Plug in the solution you got for y into either of the 2 equations.
x + 3(1) = 5
x + 3 = 5
- 3 - 3
---------------
x = 2
Least to greatest:
nevada, arizona, californa, montana, texas, alaska
Answer:
You should buy from the first store
Step-by-step explanation:
Since there are 4 quarts in a gallon, we will need to multiply .80 by 8 to figure out how much it costs for 2 gallons. This will be $6.40 for the second store, and in order to find out how many the first store offers, we multiply 3 by two, which is six.
So, the first store charges $6.00 for two gallons, and the second store does $6.40 for two gallons of milk
Answer:
The data we have is:
The acceleration is 3.2 m/s^2 for 14 seconds
Initial velocity = 5.1 m/s
initial position = 0m
Then:
A(t) = 3.2m/s^2
To have the velocity, we integrate over time, and the constant of integration will be equal to the initial velocity.
V(t) = (3.2m/s^2)*t + 5.1 m/s
To have the position equation, we integrate again over time, and now the constant of integration will be the initial position (that is zero)
P(t) = (1/2)*(3.2 m/s^2)*t^2 + 5.1m/s*t
Now, the final position refers to the position when the car stops accelerating, this is at t = 14s.
P(14s) = (1/2)*(3.2 m/s^2)*(14s)^2 + 5.1m/s*14s = 385m
So the final position is 385 meters ahead the initial position.
It’s -33 and the y intercept is -5y
