The only true statement that compares the two functions is:
B: The solution to f(x)=g(x) is 1
<h3>
Which statements are correct?</h3>
Here we have the functions:
f(x) = |x - 3| + 1
g(x) = 2x + 1
First, let's find the solution for:
f(x) = g(x)
|x - 3| + 1 = 2x + 1
|x - 3| = 2x
Notice that we have two options, x = 3:
|3 - 3| = 2*3
0 = 6 (x = 3 is not a solution)
And x = 1:
|1 - 3| = 2*1
2 = 2 (x = 1 is a solution).
Now to get the y-value where the graphs intersect, we just evaluate one of the functions in the solution we found above;
f(1) = |1 - 3| + 1 = 2 + 1 = 3
The graphs intersect when y = 3.
Then we conclude that the only true statement is:
B: The solution to f(x)=g(x) is 1
If you want to learn more about systems of equations, you can read:
brainly.com/question/13729904
Answer:
x = -1
Step-by-step explanation:
1. Simplifying
6x + 4 = 4x + 2
2. Reorder the terms
4 + 6x = 4x + 2 to 4 + 6x = 2 + 4x
3. Solving
4 + 6x = 2 + 4x
4. Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right. Then add '-4x' to each side of the equation.
4 + 6x + -4x = 2 + 4x + -4x
5. Combine like terms: 6x + -4x = 2x
4 + 2x = 2 + 4x + -4x
6. Combine like terms: 4x + -4x = 0
4 + 2x = 2 + 0
4 + 2x = 2
7. Add '-4' to each side of the equation.
4 + -4 + 2x = 2 + -4
8. Combine like terms: 4 + -4 = 0
0 + 2x = 2 + -4
2x = 2 + -4
9. Combine like terms: 2 + -4 = -2
2x = -2
10. Divide each side by '2'.
x = -1
11. Simplifying
x = -1
Answer:
Step-by-step explanation
Take the square root of both sides.
Add both sides by 5
Well as it looks like to me the cords of the a,b,c are 2,3,1
