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NEED HELP PLEASE

Part A: 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.
Part B: Make tables to find the solution to 4^-x=2^x+3. Take the integer values of x between -3 and 3.
Part C: How can you solve the equation 4^-x=2^x+3 graphically?

User Bartvde
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1 Answer

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You are given 3 equations up front. If you take the first 2 equations and set them equal to each other, this accomplishes two things: first, doing this eliminates the variable y, and second, if the graphs of the first 2 equations intersect, at the point of intersection the y-value of one must equal the y-value of the other.

The third equation is easier to solve, because the variable y has been eliminated, leaving only x as variable.

Please take a look at the remainder of this question and see what you yourself are able to do. Share your work. Then, if you'd message me, I'd be glad to take another look and give you suggestions.
User Seanmk
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