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nwalker916
09.10.2019 •
Mathematics
Part a: explain why the x-coordinates of the points where the graphs of the equations y = 2^x and y = 4^x−2 intersect are the solutions of the equation 2^x = 4^x−2. (4 points)
part b: make tables to find the solution to 2^x = 4^x−2. take the integer values of x between −4 and 4. (4 points)
part c: how can you solve the equation 2^x = 4^x−2 graphically? (2 points)
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Ответ:
A and B. See explanation
C. x=4
Step-by-step explanation:
A: Consider two functions
and
The point of intersection of the graphs of these two functions is the solution of the system ![\left \{ {{y=2^x} \atop {y=4^{x-2}}} \right.](/tpl/images/0302/2375/76e74.png)
When you are solving this system, you have to equate the right sides of these equations and get
So, the x-coordinate of the point of intersection is the solution of the equation ![2^x=4^{x-2}.](/tpl/images/0302/2375/4e4ef.png)
B.
C. Graphically, graphs intersect at point (4,16), so x=4 is the solution of the equation
Ответ:
what are the equations?
Step-by-step explanation:
If you tell me what they are, I can change it and tell you the answer is.
I don't see the equations. :(