3 years ago

30 divided by 5 4 times

Mathematics

1 answer:

shtirl [24]3 years ago

4 0

Answer is

30/(5x4)

=30/20

=1.5

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What is the correct form of the partial fraction decomposition for 6x+7/(x+2)^2

andrezito [222]

If you mean

$\dfrac{6x+7}{(x+2)^2}$

the decomposition would be of the form

$\dfrac{6x+7}{(x+2)^2} = \dfrac a{x+2} + \dfrac b{(x+2)^2}$

We have

$6x+7 = 6(x+2) - 5$

which gives

$\dfrac{6x+7}{(x+2)^2} = \dfrac{6(x+2)-5}{(x+2)^2} = \boxed{\dfrac6{x+2} - \dfrac5{(x+2)^2}}$

Or, if you prefer the standard approach, combining the partial fractions on the right side of the equation above would have given

$\dfrac{6x+7}{(x+2)^2} = \dfrac{a(x+2)+b}{(x+2)^2}$

so that

$6x+7 = a(x+2)+b = ax + 2a+b$

Solve for a and b :

$\begin{cases}a=6\\2a+b=7\end{cases} \implies a=6,b=-5$

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3 years ago

Solve by the addition method: 2x-5y=18 ,3x+4y=4

alexgriva [62]

2 x - 5 y = 18 / * 4
3 x + 4 y = 4 / * 5 ( we will use the addition method )
--------------------------
8 x - 20 y = 72
+
15 x + 20 y = 20
-----------------------
23 x = 92
x = 92 : 23
x = 4
8 - 5 y = 18
- 5 y = 18 - 8
- 5 y = 10
y = 10 : ( - 5 )
y = - 2
Answer:
( x, y ) = ( 4, - 2 )

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4 years ago

ellie must mix 6 tablespoons of plant food for every 2 gallons of water. If she has 6 gallons of water, how muck plant food shou

gogolik [260]

She need 18 tablespoons of plant food for 6 gallons of water

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4 years ago

Read 2 more answers

Show your work. 10x - 4 = 2x + 4

Anarel [89]

8x-4=4
8x=8
x=1

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