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4 years ago

14. Simplify (4x^– 4)^– 3.

Mathematics

1 answer:

Luda [366]4 years ago

8 0

$(4x^{-4})^{-3}=4^{-3}\cdot x^{12}=\dfrac{x^{12}}{64}$

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Answer:

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Step-by-step explanation:

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3 years ago

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garri49 [273]

Answer:

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Step-by-step explanation:

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3 years ago

4. A study of air quality in a particular city by an environmental group suggest that t years from now the level of carbon monox

sp2606 [1]

Answer:

4A=5.1 per million 4B=3.8 years

Step-by-step explanation:

4A. A=0.2^2+.01t+5.1 the current level would be 5.1

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3 0

3 years ago

Find the derivatives of the following implicit function

ddd [48]

Answer:

$\frac{d}{dx}\left(y\right)=\frac{2-6x+6y}{-6x+2y+1}$

Step-by-step explanation:

$3x^2-6xy+y^2=2x-y\\\mathrm{Treat\:}y\mathrm{\:as\:}y\left(x\right)\\\mathrm{Differentiate\:both\:sides\:of\:the\:equation\:with\:respect\:to\:}x\\\frac{d}{dx}\left(3x^2-6xy+y^2\right)=\frac{d}{dx}\left(2x-y\right)\\\frac{d}{dx}\left(3x^2-6xy+y^2\right)=6x-6\left(y+x\frac{d}{dx}\left(y\right)\right)+2y\frac{d}{dx}\left(y\right)\\\frac{d}{dx}\left(2x-y\right)=2-\frac{d}{dx}\left(y\right)\\6x-6\left(y+x\frac{d}{dx}\left(y\right)\right)+2y\frac{d}{dx}\left(y\right)=2-\frac{d}{dx}\left(y\right)$

$\mathrm{For\:convenience,\:write\:}\frac{d}{dx}\left(y\right)\mathrm{\:as\:}y^{'\:}\\6x-6\left(y+xy^{'\:}\right)+2yy^{'\:}=2-y^{'\:}\\\mathrm{Isolate}\:y^{'\:}:\quad y^{'\:}=\frac{2-6x+6y}{-6x+2y+1}\\y^{'\:}=\frac{2-6x+6y}{-6x+2y+1}\\\mathrm{Write}\:y^{'\:}\:\mathrm{as}\:\frac{d}{dx}\left(y\right)\\\frac{d}{dx}\left(y\right)=\frac{2-6x+6y}{-6x+2y+1}$

3 0

3 years ago

I want to solve this equation (x+2)^2

olchik [2.2K]

Okay, so powers are multiplied out of parenthesis.

Every number of a variable has 1 power.

x^2 + 2^2

x^2+4

I hope this helped!
<em>~cupcake</em>

7 0

4 years ago