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: −4<x<1
Step-by-step explanation: plz mark brainliest
Given that for each <span>$2 increase in price, the demand is less and 4 fewer cars are rented.
Let x be the number of $2 increases in price, then the revenue from renting cars is given by

.
Also, given that f</span><span>or each car that is rented, there are routine maintenance costs of $5 per day, then the total cost of renting cars is given by

Profit is given by revenue - cost.
Thus, the profit from renting cars is given by
</span><span>

For maximum profit, the differentiation of the profit function equals zero.
i.e.
</span><span>

The price of renting a car is given by 48 + 2x = 48 + 2(8) = 48 + 16 = 64.
Therefore, the </span><span>rental charge will maximize profit is $64.</span>