The difference between the record high and low temperatures in Daytona Beach, Florida, is 87° F. The record high temperature is
1 answer:
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Answer:
Step-by-step explanation:
1.
To write the form of the partial fraction decomposition of the rational expression:
We have:
2.
Using partial fraction decomposition to find the definite integral of:
By using the long division method; we have:
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So;
By using partial fraction decomposition:
x + 20 = A(x + 2) + B(x - 10)
x + 20 = (A + B)x + (2A - 10B)
Now; we have to relate like terms on both sides; we have:
A + B = 1 ; 2A - 10 B = 20
By solvong the expressions above; we have:
Now;
Thus;
Now; the integral is:
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Answer:
After 9 movies they will have paid the same amount
Step-by-step explanation:
We must write an equation for Duke's expenses and an equation to represent Tennessee's expenses.
<u>For Duke expenses we have:</u>
A fixed expense of $ 111.60 per year
A variable expense of $ 4.00 for each movie.
The equation that represents the expenses is a linear equation like the one shown below
Where C represents the cost and x the number of movies.
<u>For Tennessee expenses we have:</u>
A variable expense of $ 16.40 for each film.
The equation that represents the expenses is a linear equation like the one shown below
Where C represents the cost and x the number of movies.
To know after how many movies have paid the same amount, we equate both equations and solve the variable x
After 9 movies they will have paid the same amount