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Svet_ta [14]
2 years ago
8

The graphs of ​ f(x)=2x+4 ​ and ​ g(x)=10−4x ​ intersect at (1,6) . What is the solution of the equation 2x+4=10−4x ? Enter your

answer in the box.
Mathematics
2 answers:
nordsb [41]2 years ago
8 0
X = 1, since they intersect at (1,6) and are thus equal at that point
den301095 [7]2 years ago
3 0

Answer:

The solution of the equation is:

1

Step-by-step explanation:

We are two function f(x) and g(x) as:

f(x)=2x+4

and g(x)=10-4x.

We know that both the functions are linear functions.

Also the graphs of the function f(x) and g(x) intersect each other at (1,6).

Hence, the solution of the equation :

2x+4=10-4x

i.e. f(x)=g(x)

is the x-value of the  point of intersection of the graph of f(x) and g(x).

Hence, the solution of the equation is:

1

( since the x-value of the point of intersection (1,6) is 1).

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