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irina [24]
3 years ago
7

The functions f(x)=−34x+214 and g(x)=(12)x+1 are shown in the graph. What numbers are solutions to −34x+214=(12)x+1? Select each

correct answer.

Mathematics
1 answer:
DENIUS [597]3 years ago
8 0

Answer:

x=-1

x=1

Step-by-step explanation:

we have

f(x)=-\frac{3}{4}x+2\frac{1}{4} -----> equation A  

g(x)=\frac{1}{2}^{x} +1 ----> equation B

To find the solutions for x of the system of equations

equate equation A and equation B

-\frac{3}{4}x+2\frac{1}{4}=\frac{1}{2}^{x} +1

The values of x of the intersection points are the solutions of the system

Using a graphing tool

see the attached figure

There are two intersection points

therefore

The solutions are

x=-1

x=1

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