Answer:
The ordered pair for the system of equations is (x,y) i.e (4,7)
Step-by-step explanation:
Ordered pair is the represented as (x,y) i.e value of x and value of y.
We are given system of equations:
2x+4y=36 eq(1)
6x+2y=38 eq(2)
and after solving above equations value of x is found to be 4.
We need to find the value of y.
We can find value of y by putting value of x in eq(1)
2x+4y=36
2(4)+4y =36
8+4y = 36
4y = 36-8
4y = 28
y = 7
So, value of y is 7
The ordered pair for the system of equations is (x,y) i.e (4,7)
Answer:
Solving
we get ![\mathbf{x>5}](https://tex.z-dn.net/?f=%5Cmathbf%7Bx%3E5%7D)
Step-by-step explanation:
We need to find solution of ![6(2 - x)](https://tex.z-dn.net/?f=6%282%20-%20x%29%3C-4x%20%2B%202)
Solving the inequality:
![6(2 - x)](https://tex.z-dn.net/?f=6%282%20-%20x%29%3C-4x%20%2B%202)
Multiply 6 with terms inside the bracket
![12-6x](https://tex.z-dn.net/?f=12-6x%3C-4x%2B2)
Subtracting 12 on both sides
![12-6x-12](https://tex.z-dn.net/?f=12-6x-12%3C-4x%2B2-12%5C%5C-6x%3C-4x-10)
Adding 4x on both sides
![-6x+4x](https://tex.z-dn.net/?f=-6x%2B4x%3C-4x-10%2B4x%5C%5C-2x%3C-10)
Divide both sides by -2 and the inequality will be reversed i.e < will be changes to >
![\frac{-2x}{-2}>\frac{-10}{-2}\\\mathbf{x>5}](https://tex.z-dn.net/?f=%5Cfrac%7B-2x%7D%7B-2%7D%3E%5Cfrac%7B-10%7D%7B-2%7D%5C%5C%5Cmathbf%7Bx%3E5%7D)
So, after solving
we get ![\mathbf{x>5}](https://tex.z-dn.net/?f=%5Cmathbf%7Bx%3E5%7D)
Answer:
y = 20x + 25
Step-by-step explanation:
y is the total
25 dollars to start plus the 20 dollars per month
Answer: The slope is the cost per muffin and the intercept of 3 is the delivery charge.
Step-by-step explanation:
I will assume that the graph has total cost in dollars for the y axis and number of muffins on the x axis. A slope of 2 means that y will increase by 2 for every 1 increase in x. That means that the price of a single muffin is $2.
The intercept of 3 at x = 0, means that there is an upfront (delivery) charge of $3. One muffin would cost $2 for the muffin plus $3 for the delivery, for a total of $5.
10 muffins would cost $20 for the muffins plus $3 for the delivery, for a total of $23.