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3 years ago

Find an equation for the line below.

Mathematics

2 answers:

Ierofanga [76]3 years ago

4 0

Here The slope is 2/3 :)

yuradex [85]3 years ago

3 0

To solve this equation we would use rise over run Rise/Run 4/6 simplify The slope of the line is 2/3

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-9 and -7 fahrenheit which is warmer

guapka [62]

-7 degrees fahrenheit is warmer

7 0

3 years ago

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The price of a stock increased 12 cent Monday morning. On Monday afternoon, the price of the stock decreased 56 cent. On Tuesday

jeyben [28]

Ok, were starting at when the stock increased first which is 12 cents on monday. to find your answer your going to need to add all of the increased cents first; then subtract.

12 + 14 = 26

So we have 26 cents, now we subtract the 56.

26 - 56 = -30

now we have -30. now we find out how far away on the number line it is from 12. your answer would be 42.

now for your answer, (i did all of that for other people who had the same question but different answer)

your answer would be 112 cents (which is option B)

6 0

4 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:

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

We have:

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

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:

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

$- 2x^3 -16x^2-40x$

$x+ 20$

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

What is 2688 divided by 16

Pie

Hi there!

This should be easy do write out on a calculator...
But your answer is 168.

16 goes into 1688 about 168 times. :P

Hope this helps! PM me if you need further explanation.

6 0

4 years ago

Read 2 more answers

Hello! What is 8 x 3 + 4 according to PEMDAS? :)

Liono4ka [1.6K]

28. 8x3=24 add four which gives you 28.

5 0

4 years ago

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