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
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Answer:
Price of 1 adult ticket is <u>$10.8</u> and Price of 1 children ticket is <u>$5.4</u>.
Step-by-step explanation:
Given:
Number of adults = 2
Number of Children = 6
Total Amount of tickets sold = $54.
We need to find the price of one children's ticket and one adult ticket.
Solution:
Let the Cost of 1 adult ticket be 'x'.
Now Given:
Children tickets are on sale,half price of adult tickets.
Cost of 1 Children ticket = 
Total Amount is equal to Number of adults multiplied by Cost of adult ticket plus Number of Children multiplied by Cost of Children ticket.
Framing in equation for we get;

Cost of 1 adult ticket = $10.8
Cost of 1 children ticket = 
Hence Price of 1 adult ticket is <u>$10.8</u> and Price of 1 children ticket is <u>$5.4</u>.
A consistent system of equations is a system with intersecting lines and lines that have the same equation.
A consistent system is the system of equations with at least one solution or infinite number of solutions.
So , the intersecting lines will always have a solution and the lines with the same equation will have infinite number of solution.
The graph of a system of equations with different slopes will have no solutions. Correct option in "Never"
If the system of equations have different slopes then the equations are not parallel, hence the equations will always have a solution.
The answer is A. C=0 and + = 3