Answer: The graph is shown below
The solution to the system is (x,y) = (2,3)
=============================================================
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:
36, 32, 28, 24
Step-by-step explanation:
Fill in the values of n and do the arithmetic.
a1 = 36 -4(1 -1) = 36
a2 = 36 -4(2 -1) = 32
a3 = 36 -4(3 -1) = 28
a4 = 36 -4(4 -1) = 24
_____
You could recognize the formula as the specific case of the explicit formula for an arithmetic sequence with first term 36 and common difference -4. That tells you the second term is 36 -4 = 32, and each successive term is 4 less than the one before.
The answer is 9
both 81 and 63 are dividable by 9, and nothing higher
Answer: 45
Step-by-step explanation:
300 * 0.15 = 45
