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Yuri [45]
2 years ago
12

Is this irrational or rational?

Mathematics
2 answers:
Sergio039 [100]2 years ago
7 0

Answer:

irational

Step-by-step explanation:

Helga [31]2 years ago
6 0

Answer:

irrational

Step-by-step explanation:

because √3 is irrational

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What the second answer ​
Debora [2.8K]

Answer:

1. y' = 3x² / 4y²

2. y'' = 3x/8y⁵[(4y³ – 3x³)]

Step-by-step explanation:

From the question given above, the following data were obtained:

3x³ – 4y³ = 4

y' =?

y'' =?

1. Determination of y'

To obtain y', we simply defferentiate the expression ones. This can be obtained as follow:

3x³ – 4y³ = 4

Differentiate

9x² – 12y²dy/dx = 0

Rearrange

12y²dy/dx = 9x²

Divide both side by 12y²

dy/dx = 9x² / 12y²

dy/dx = 3x² / 4y²

y' = 3x² / 4y²

2. Determination of y''

To obtain y'', we simply defferentiate above expression i.e y' = 3x² / 4y². This can be obtained as follow:

3x² / 4y²

Let:

u = 3x²

v = 4y²

Find u' and v'

u' = 6x

v' = 8ydy/dx

Applying quotient rule

y'' = [vu' – uv'] / v²

y'' = [4y²(6x) – 3x²(8ydy/dx)] / (4y²)²

y'' = [24xy² – 24x²ydy/dx] / 16y⁴

Recall:

dy/dx = 3x² / 4y²

y'' = [24xy² – 24x²y (3x² / 4y² )] / 16y⁴

y'' = [24xy² – 18x⁴/y] / 16y⁴

y'' = 1/16y⁴[24xy² – 18x⁴/y]

y'' = 1/16y⁴[(24xy³ – 18x⁴)/y]

y'' = 1/16y⁵[(24xy³ – 18x⁴)]

y'' = 6x/16y⁵[(4y³ – 3x³)]

y'' = 3x/8y⁵[(4y³ – 3x³)]

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2 years ago
Stefan buys a melon and divided into six servings he eat one third of the melon over the weekend how many slices of melon does S
kozerog [31]
2 slices of watermelon. He divides it into 6 slices and 1/3 of 6 is 2m
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2 years ago
Select each pair of equivalent numbers. PLS HELP DUE TMR AND I DONT HOW TO SOLVE IT, PLS SHOW HOW U SET IT UP
BaLLatris [955]
The pairs that are equivalent to each other are 40/1000 and 40%, 6/5 and 120%, 1/8 and 12.5% . They are the correct answers because if we divide for example 6/5 , we would get 1.2 and to turn a decimal into a percent we have to move the decimal point 2 times to the right meaning that the percentage would be 120% and you just do that for all! I hope this helped :)!!
3 0
2 years ago
4. The value of y varies directly with x. When y = 275, x = -22 What is y when x = 17.5?​
Helga [31]

y = x

275 = -22

y = 17.5

y = (17.5*275)/-22

y = -179.0

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2 years ago
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