alammarithrea123
alammarithrea123 alammarithrea123
  • 14-12-2016
  • Mathematics
contestada

Explain why the x-coordinates of the points where the graphs of the equations y = 4^−x and y = 2^x + 3 intersect are the solutions of the equation 4^−x = 2^x + 3.

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wizard123
wizard123 wizard123
  • 14-12-2016
The point where 2 lines intersect contain (x,y) coordinates that are equal for both equations.
By setting the 2 equations equal to each other, it is same as equating the 2 y-values, which we know they are equal at point of intersection.
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