Answer:
f(g(x)) = 12x + 1
Step-by-step explanation:
Step 1: Define functions
f(x) = 3x - 2
g(x) = 4x + 1
Step 2: Find f(g(x))
f(g(x)) = 3(4x + 1) - 2
f(g(x)) = 12x + 3 - 2
f(g(x)) = 12x + 1
The speed of the airplane is 90 miles per hour and the speed of the wind is 30 miles per hour.
<h3>Relative Speed Concept;</h3>
When the plane flies against the wind;
- Relative Speed = 120 = x -y
When the plane flies with the wind;
- Relative Speed = 240 = x +y
Where in;
- The speed of the air plane = x
- The speed of the wind = y
By solving the equations simultaneously; we have;
- x = 180 miles in 2 hours and y = 60 in 2 hours.
Ultimately, the speed of the airplane is 90 miles per hour and the speed of the wind is 30 miles per hour.
Read more on relative Speed;
brainly.com/question/17228388
To find the range of data, you first order the data least to greatest:
7, 12, 15
Then you subtract the smallest number from the largest:
15-7=8
The range is 8.
<span>8√5 + 2√45
= </span><span>8√5 + 6√5
= 14</span>√5
hope it helps