Hello, please consider the following.
For the second we will need to put on the same denominator.
Thank you.
In a classroom, 1/6 of the students are wearing blue shirts, and 2/3 are wearing white shirts. There are 36 students in the clas
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The minimum cost to produce the product is $7.
What are functions?
- A function from a set X to a set Y allocates exactly one element of Y to each element of X.
To determine the minimum cost:
We have to determine the minimum cost of producing this product.
Since .
Now, consider the equation .
Dividing the above equation by 5, we get
Now, considering the coefficient of 'x', dividing it by '2' and then adding and subtracting the square of the number which we got after dividing.
Since the coefficient of 'x' is 14, and half of 14 is '7'.
So, adding and subtracting from the above equation.
Now, we have to determine the minimum cost to produce the product.
Since .
Now, let f'(x)=0
Therefore, x=7
Now, consider which is greater than 0.
Therefore, x= 7 is the minimum cost.
Know more about functions here:
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Using a differential equation, it is found that the temperature dropped 72 degrees Celsius between sundown and 3 hours after sundown.
<h3>What is the differential equation that describes the temperature in t hours after sundown?</h3>The rate at which the temperature is dropping is degrees Celsius per hour t hours after sundown, hence the <em>differential equation</em> is:
Applying <em>separation of variables</em>, we find the solution as follows:
In which T(0) is the temperature at sundown.
In 3 hours, the change will be of:
Hence:
The temperature dropped 72 degrees Celsius between sundown and 3 hours after sundown.
You can learn more about differential equations at brainly.com/question/24348029