Equation~ 5b + (2b - 4) + (3b -6)= 180.
The area between the two functions is 0
<h3>How to determine the area?</h3>
The functions are given as:
f₁(x)= 1
f₂(x) = |x - 2|
x ∈ [0, 4]
The area between the functions is
A = ∫[f₂(x) - f₁(x) ] dx
The above integral becomes
A = ∫|x - 2| - 1 dx (0 to 4)
When the above is integrated, we have:
A = [(|x - 2|(x - 2))/2 - x] (0 to 4)
Expand the above integral
A = [(|4 - 2|(4 - 2))/2 - 4] - [(|0 - 2|(0 - 2))/2 - 0]
This gives
A = [2 - 4] - [-2- 0]
Evaluate the expression
A = 0
Hence, the area between the two functions is 0
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Answer:
80%
Step-by-step explanation:
Answer:
A two-step equation is something like:
A*X + B = C
In this case, like in a linear equation, we have only one solution that can be found as:
A*X = C - B
X = (C - B)/A
In the case of a two-step inequality, we have something like:
A*X + B > C
Solving this we get;
A*X > C - B
X > (C - B)/A
In this case, any value of X that is larger than (C - B)/A is a solution, so in this case, we have infinite solutions.
That is the difference between the number of solutions for each case, in a two-step equation we have only one, while in the case of the inequality we have infinite.
Answer:
21 feet
Step-by-step explanation:
108 inches / 12 = 9 feet.
9+12=21 feet
