X=4 is the answer to this question
The required result based on given continuous functions is: 207. See the explanation for same below.
<h3>What are continuous functions?</h3>
A continuous function in mathematics is one in which a continuous variation (that is, a change without a jump) of the argument causes a continuous variation of the function's value.
<h3>What is the calculation for the above solution?</h3>
Since G and F are continuous functions,
= 19
= 35
Therefore,
![\int_{12}^{28}) \, [K g(x) - 2 f(x)] dx](https://tex.z-dn.net/?f=%5Cint_%7B12%7D%5E%7B28%7D%29%20%5C%2C%20%5BK%20g%28x%29%20-%202%20f%28x%29%5D%20dx)
= K 
So, given that K = 7, we have
7 x 35 - 2 x 19
= 245 - 38
= 207
Learn more about continuous functions at;
brainly.com/question/18102431
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Part A:
Let the length of one of the sides of the rectangle be L, then the length of the other side is obtained as follow.
Let the length of the other side be x, then

Thus, if the length of one of the side is x, the length of the other side is 8 - L.
Hence, the area of the rectangle in terms of L is given by

Part B:
To find the domain of A
Recall that the domain of a function is the set of values which can be assumed by the independent variable. In this case, the domain is the set of values that L can take.
Notice that the length of a side of a rectangle cannot be negative or 0, thus L cannot be 8 as 8 - 8 = 0 or any number greater than 8.
Hence the domain of the area are the set of values between 0 and 8 not inclusive.
Therefore,
You would want to subtract 18 from 45. Your answer would be y=27.
Given that the die-cast has been represented by 3/16 in to 1 foot, We are are required to calculate for the actual measure of a toy measuring 6.5 inches wide and 8.5 inches long;
the actual width will be given by:
(6.5÷3/16)×1
=34.66666667
=35 feet
The actual length will be given by:
(8.5÷3/16)×1
=45.333
=45 feet