Answer: The graph is shown below
The solution to the system is (x,y) = (2,3)
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Explanation:
To graph 
, we need two points. Generating any (x,y) point involves picking a random x value to find its paired y value. For instance, if you plugged in x = 0, you should get to y = -2 which is the y intercept. Then trying something like x = 2 will lead to y = 3. This line goes through (0,-2) and (2,3). This line is shown in red below.
The blue line is horizontal and goes through 3 on the y axis. Every point on this horizontal line has the same y coordinate of 3. The x value doesn't matter, so it's not part of the equation y = 3.
The intersection of the red and blue line is the solution to the system. That intersection occurs at (x,y) = (2,3). This means x = 2 and y = 3 pair up together to make both original equations true.
Since this system has at least one solution, we consider it a consistent system.
Answer:
The son is 5 I think
Step-by-step explanation:
24+3=27
27 divided by 5 = 5.4
round 5.4 to 5 since it is under .5
and you get 5
Since this question is asking for the unit rate of the cost per yard of fabric, think of this as a ratio and proportions question where 2.6:8.94 = 1:x (represents the cost per yard).
To solve, cross multiply to get 2.6x=8.94
Then, solve for x and you get about $3.44 per yard
For the first part:Every shirt she grabs, will cost her dollars, so if she grabs 3 shirts, then the cost of the shirts is:
With the same rationale, if she grabs 2 pairs of jeans, the cost of the jeans is:
So, her total is:
If you subtract 3 from the total, then the expression is:
For the second part:If she's paying 3 less for each shirt, then the cost of 3 shirts will become:
In the same fashion, for the two jeans:
So the expression for the total cost is:
For number three:The amounts are different because the cost of the total purchase is different than the cost of each element that makes up the total purchase.
For number four:If you're the owner, you want to give the smallest amount of discount (the one in part 1/a).
So you could clarify by saying there's 3 dollars of the TOTAL purchase's cost.
Given:
The polynomials are:
To find:
The completely simplified sum of the polynomials.
Solution:
We have,
The sum of given polynomials is:
Therefore, the sum of the given polynomials is 
. It is a polynomial with degree 6 and leading coefficient -2.
