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Ryan02717
03.01.2020 •
Mathematics
Im gonna fail
explain why the x-coordinates of the points where the graphs of the equations y = 2^−x and y = 4^x + 3 intersect are the solutions of the equation 2^−x = 4^x + 3.
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Ответ:
Explained.
Step-by-step explanation:
The graph of a line on the coordinate system represents the points that are on the graph that will satisfy the equation of the line.
Now, if two lines on the coordinate plane are graphed and they pass through the same point (h,k) that means the point satisfies both the equations of the lines.
Let us have two curve equations
and
and they pass through the same point (h,k) on the coordinate plane.
Then we can write
......... (1) and
Now, solving equations (1) and (2) we get
Therefore, we have to solve the above equation (3) to get the value of h i.e. the x-coordinate of the point/s where the graph of the equations (1) and (2) intersect.
Now, converting h to x we will get the same result. (Answer)
Ответ: