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TiliK225 [7]
3 years ago
6

The difference between the record high and low temperatures in Daytona Beach, Florida, is 87° F. The record high temperature is

102°F. What is the record low temperature?
Mathematics
1 answer:
weeeeeb [17]3 years ago
7 0

Answer:

15 degrees

Step-by-step explanation:

102-87=15

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F(x) = x2 + 4x – 5 is x = -2.
Likurg_2 [28]
If im correct it would be -2(2)+4(-2)-5 which is -4-8-5 which would be -17
5 0
3 years ago
1. Write the form of the partial fraction decomposition of the rational expression. Do not solve for the constants.
german

Answer:

Step-by-step explanation:

1.

To write the form of the partial fraction decomposition of the rational expression:

We have:

\mathbf{\dfrac{8x-4}{x(x^2+1)^2}= \dfrac{A}{x}+\dfrac{Bx+C}{x^2+1}+\dfrac{Dx+E}{(x^2+1)^2}}

2.

Using partial fraction decomposition to find the definite integral of:

\dfrac{2x^3-16x^2-39x+20}{x^2-8x-20}dx

By using the long division method; we have:

x^2-8x-20 | \dfrac{2x}{2x^3-16x^2-39x+20 }

                  - 2x^3 -16x^2-40x

                 <u>                                         </u>

                                            x+ 20

So;

\dfrac{2x^3-16x^2-39x+20}{x^2-8x-20}= 2x+\dfrac{x+20}{x^2-8x-20}

By using partial fraction decomposition:

\dfrac{x+20}{(x-10)(x+2)}= \dfrac{A}{x-10}+\dfrac{B}{x+2}

                         = \dfrac{A(x+2)+B(x-10)}{(x-10)(x+2)}

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:

A = \dfrac{5}{2}     B =  \dfrac{3}{2}

Now;

\dfrac{x+20}{(x-10)(x+2)} = \dfrac{5}{2(x-10)} + \dfrac{3}{2(x+2)}

Thus;

\dfrac{2x^3-16x^2-39x+20}{x^2-8x-20}= 2x + \dfrac{5}{2(x-10)}+ \dfrac{3}{2(x+2)}

Now; the integral is:

\int \dfrac{2x^3-16x^2-39x+20}{x^2-8x-20} \ dx =  \int \begin {bmatrix} 2x + \dfrac{5}{2(x-10)}+ \dfrac{3}{2(x+2)} \end {bmatrix} \ dx

\mathbf{\int \dfrac{2x^3-16x^2-39x+20}{x^2-8x-20} \ dx =  x^2 + \dfrac{5}{2}In | x-10|\dfrac{3}{2} In |x+2|+C}

3. Due to the fact that the maximum words this text box can contain are 5000 words, we decided to write the solution for question 3 and upload it in an image format.

Please check to the attached image below for the solution to question number 3.

4 0
3 years ago
I need help. Plz help
aliya0001 [1]
1=60''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''''''''''''''''''''''''''''''''''''''''''''',,,,,,,,,,,,,',',','','','',',',',',',',',',',',',',',',','
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4 0
3 years ago
Duke pays $111.60 for his yearly movie pass plus $4.00 for popcorn for each movie.Tenneshia pays $16.40 for a ticket to every mo
melamori03 [73]

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

C = 111.60 + 4.00x

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

C = 16.40x

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

111.60 +4.00x=16.40x\\\\16.40x - 4x = 111.60\\\\12.40x =111.60\\\\x =\frac{111.60}{12.40}\\\\x =9

After 9 movies they will have paid the same amount

5 0
3 years ago
Which ordered pair is a solution to the equation y + 7 = x?
Rus_ich [418]

Answer:

(7,0)

Step-by-step explanation:

5 0
3 years ago
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