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
e^c = 3
Step by step explanation
The general exponential equation is y = a^x, where "a" is the base and "x" is the exponent.
We are given c = ln 3
Here the base is "e"
e^c = e^ln 3
e^c = 3 [base "e" and "ln" get cancelled because they are inverse]
Therefore, the answer is e^c = 3
Hope you will understand the concept.
Thank you.
The number 7 cannot be used to write related number sentences because it wouldn't fit into the equation & make it true.
9 + 5 = 14
5 + 9 = 14
14 - 5 = 9
14 - 9 =5
Nowhere in any of these equations can the #7 go in, & make these number sentences true.
Hope this helps & makes sense ! (:
18 times 4 = 72
Because 5000 times 4 = 20,000
The change in temp. is -72degrees