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Carlos graphed f(x) = -3x + 8 and g(x) = 7x - 2 on
a coordinate plane. What is the solution of the functions?
1
1.5
3
5


Carlos Graphed Fx 3x 8 And Gx 7x 2 On A Coordinate Plane What Is The Solution Of The Functions 1 15 3 5 class=

Sagot :

Step-by-step explanation:

When f(x) = g(x), -3x + 8 = 7x - 2.

=> 10x = 10, x = 1.

The solution of the functions is 1.

The solution to functions f(x) = -3x + 8 and g(x) = 7x - 2  graphed by Carlos is x = 1

The given functions graphed by Carlos are:

f(x)  =  -3x  +  8

g(x)  =  7x  -  2

The solution to the functions is the point where the two functions intersect on the graph

To get the point where the two functions intersect, equate f(x) and g(x).

That is, f(x)  =  g(x)

-3x  +  8   =  7x   -  2

Collect like terms:

7x  +  3x  =  8  +  2

10x   =  10

Divide both sides by 10

10x / 10  =  10/10

x   =  1

The solution to functions f(x) = -3x + 8 and g(x) = 7x - 2  graphed by Carlos is x = 1

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