Answer:
Area: 180 units2 (units 2 is because since the are no specific unit given but every area should have a unit of measurement)
Step-by-step explanation:
The area enclosed by the graph of the function, the horizontal axis, and vertical lines is the integral of the function between thos two points (x=2 and x=4)
So , let's solve the integral of f(x)
Area =+C
C=0
So if we evaluate this function in the given segment:
Area= 3* (4^4)/4-3*(2^4)/4= 3*(4^4-2^4)/4=180 units 2
Goos luck!
Answer:
Choice A, x=1
Step-by-step explanation:
So, to start, there's two routes that you can take there. I am going to show one of these routes.
Within the image, you see two triangles, you are able to tell that these triangles share two of the same sides, because of congruency lines on each of them.
The first group of congruent sides have 1 line going through them, the second group has 2 lines going through them. Let's go with the first group.
With the first group, we are using the lines CB and FE, where the measurements on each of them are 3x+1 and x+3 respectively.
Since they are congruent, they are equal and we can just set them equal to each other.
Starting With:
3x+1 = x+3
Step 1) Cancel out the +1
3x+1 -1 = x+3 -1
3x = x+2
Step 2) Cancel out the x
3x -x = x+2 -x
2x = 2
Step 3) Divide by 2 get x by itself
2x/2 = 2/2
x=1
All done!
0.27 = 3/x...multiply both sides by x
0.27x = 3...divide both sides by 0.27
x = 3/0.27 =
11.11 <==
Hello!
We can look at each answer choice to verify whether it has a restricted domain or not:
A.
This is a function similar to a cubic root function. Its domain is (-∞, ∞), so it has no restriction.
B.
This is a square root function. This graph only consists of x-values in the interval (3, ∞) because you cannot take the square root of a negative number. This function has a restricted domain.
C.
This is a cubic function, so it has an interval of (-∞, ∞)
D.
This is a quadratic function, which has no domain restriction.
Therefore, the correct answer is B.