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2 years ago

Which equation is the inverse of (x minus 4) squared minus two-thirds = 6y minus 12?

Mathematics

2 answers:

mario62 [17]2 years ago

7 0

Answer:

The correct option is option B.

Step-by-step explanation:

The given function is

$(x - 4)^{2} - \frac{2}{3} = 6y - 12$

We can rearrange the function as

$(x - 4)^{2} - \frac{2}{3} = 6y - 12$

⇒ 3(x - 4)² - 2 = 18y - 36

⇒ 3(x - 4)² = 18y - 34

⇒ $(x - 4)^{2} = 6y - \frac{34}{3}$

⇒ $x - 4 = \pm \sqrt{6y - \frac{34}{3}}$

⇒ $x = 4 \pm \sqrt{6y - \frac{34}{3}}$

Therefore, the inverse function will be, $y = 4 \pm \sqrt{6x - \frac{34}{3}}$

Therefore, the correct option is option B. (Answer)

stepan [7]2 years ago

7 0

Answer:

EDGE 2020 IS B :)

Step-by-step explanation:

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natka813 [3]

Answer:

Step-by-step explanation:

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1 year ago

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1 year ago

In each of Problems 5 through 10, verify that each given function is a solution of the differential equation.

WARRIOR [948]

Answer:

For First Solution: $y_1(t)=e^t$

$y_1(t)=e^t$ is the solution of equation y''-y=0.

For 2nd Solution: $y_2(t)=cosht$

$y_2(t)=cosht$ is the solution of equation y''-y=0.

Step-by-step explanation:

For First Solution: $y_1(t)=e^t$

In order to prove whether it is a solution or not we have to put it into the equation and check. For this we have to take derivatives.

$y_1(t)=e^t$

First order derivative:

$y'_1(t)=e^t$

2nd order Derivative:

$y''_1(t)=e^t$

Put Them in equation y''-y=0

e^t-e^t=0

0=0

Hence $y_1(t)=e^t$ is the solution of equation y''-y=0.

For 2nd Solution:

$y_2(t)=cosht$

In order to prove whether it is a solution or not we have to put it into the equation and check. For this we have to take derivatives.

$y_2(t)=cosht$

First order derivative:

$y'_2(t)=sinht$

2nd order Derivative:

$y''_2(t)=cosht$

Put Them in equation y''-y=0

cosht-cosht=0

0=0

Hence $y_2(t)=cosht$ is the solution of equation y''-y=0.

3 0

1 year ago

each transformation is performed on the line with the equation y=2x-1. write the equation of the new line. vertical translation

Phoenix [80]

Answer:

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Step-by-step explanation:

for y=2x-1

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y2= y-3 =(2x-1)-3= 2x-4

y2= 2x-4

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y3=6x-1

3) for sloped divided in half. slope of y : m=2 → slope of y4=2/2 =1

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1 year ago

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snow_lady [41]

Answer:

Step-by-step explanation:

1. Choose a person.

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105 - 23 = ?/5 = 16.4

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Hope this helps:)

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1 year ago

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