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.

Step-by-step explanation:

we have

-----> equation A  

----> equation B

To find the solutions for x of the system of equations

equate equation A and equation B

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

step-by-step explanation :

we know that

the measurement of the outer angle is the semi-difference of the arcs which comprises

in this problem

m< xzy is the outer angle

substitute the values

the measure of angle xoy is equal to

> by central angle

substitute the value