Answer:

Step-by-step explanation:
The midpoint is the point that bisects a line segment or divides it into 2 equal halves. The formula is essentially finding the average of the 2 points.

In this formula, (x₁, y₁) and (x₂, y₂) are the 2 endpoints of the line segment. For this problem, these are (5,4 ) and (-2, 1).
Substitute these values into the formula.

Solve the numerators.

Convert the fractions to decimals.

The midpoint of the line segment is (1.5 , 2.5)
Answer:
g(f(0)) = 2
Step-by-step explanation:
To find g(f(0)), you must first find f(0).
f(x) = 3x + 1
f(0) = 3(0) + 1 = 0 + 1 = 1
Now you input 1 into function g(x).
g(x) = (4x + 2)/3
g(1) = [4(1) + 2]/3
g(1) = [4 + 2]/3
g(1) = 6/3
g(1) = 2
g(f(0)) = 2
1/7 = 3/4x-1
3/4x=1/7+1=8/7
x=8/7*4/3=32/21
Answer:
2 2/4
Step-by-step explanation: