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shtirl [24]
3 years ago
9

Help me please this is urgent!

Mathematics
1 answer:
vivado [14]3 years ago
8 0

Answer:

D.

Step-by-step explanation: they can be different widths

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Derivative of<br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%7B3x%7D%5E%7B2%7D%20-%202x%20-%201%20%7D%7B%20%7Bx%7D%5E%7B2
Anastaziya [24]

Answer:

\displaystyle  \frac{dy}{dx} =    \frac{2x + 2}{x^3}

Step-by-step explanation:

we would like to figure out the derivative of the following:

\displaystyle  \frac{ { 3x }^{2} - 2x - 1 }{ {x}^{2} }

to do so, let,

\displaystyle y =  \frac{ { 3x }^{2} - 2x - 1 }{ {x}^{2} }

By simplifying we acquire:

\displaystyle y =  3 -  \frac{2}{x}  -  \frac{1}{ {x}^{2} }

use law of exponent which yields:

\displaystyle y =  3 -  2 {x}^{ - 1}  -   { {x}^{  - 2} }

take derivative in both sides:

\displaystyle  \frac{dy}{dx} =  \frac{d}{dx}  (3 -  2 {x}^{ - 1}  -   { {x}^{  - 2} } )

use sum derivation rule which yields:

\rm\displaystyle  \frac{dy}{dx} =  \frac{d}{dx}  3 -   \frac{d}{dx} 2 {x}^{ - 1}  -     \frac{d}{dx} {x}^{  - 2}

By constant derivation we acquire:

\rm\displaystyle  \frac{dy}{dx} =  0 -   \frac{d}{dx} 2 {x}^{ - 1}  -     \frac{d}{dx} {x}^{  - 2}

use exponent rule of derivation which yields:

\rm\displaystyle  \frac{dy}{dx} =  0 -   ( - 2 {x}^{ - 1 -1} ) -     ( - 2 {x}^{  - 2 - 1} )

simplify exponent:

\rm\displaystyle  \frac{dy}{dx} =  0 -   ( - 2 {x}^{ -2} ) -     ( - 2 {x}^{  - 3} )

two negatives make positive so,

\displaystyle  \frac{dy}{dx} =   2 {x}^{ -2} +      2 {x}^{  - 3}

<h3>further simplification if needed:</h3>

by law of exponent we acquire:

\displaystyle  \frac{dy}{dx} =   \frac{2 }{x^2}+       \frac{2}{x^3}

simplify addition:

\displaystyle  \frac{dy}{dx} =    \frac{2x + 2}{x^3}

and we are done!

5 0
3 years ago
Donna bought 3 pairs of pants for $28.50 each. She also bought a necklace for $12.25. She received a discount of 35% off her ent
oee [108]

Answer:

<em>Donna will have to pay $67.985125 at the register, including the 7% sales tax.</em>

Step-by-step explanation:

Donna bought 3 pairs of pants for $28.50 each.

So, the cost for 3 pair of pants =(28.50\times 3)dollars= 85.50 dollars.

She also bought a necklace for $12.25

Thus, the cost for her entire purchase will be:  (85.50+12.25) dollars = 97.75 dollars.

She received a discount of 35% off her entire purchase. So, the amount of discount =(97.75\times 0.35)= 34.2125 dollars.

Thus, the total selling price will be:  (97.75-34.2125)= 63.5375 dollars.

Percentage of sales tax is 7%. So, the amount of sales tax =(63.5375\times 0.07)= 4.447625 dollars.

Thus, the total amount Donna have to pay at the register =(63.5375+4.447625)=67.985125 dollars.

5 0
4 years ago
How much is 25 pens for $19.75.
Scilla [17]

Answer:

$493.75

Step-by-step explanation:

  1. 25 × 19.75 = $493.75

I hope this helps!

6 0
4 years ago
Read 2 more answers
Can anyone help with this question?.. thanks in advance!!
agasfer [191]
Hell naw, nobody is about to do that for you
5 0
3 years ago
Simplify. (-2y^3)^3(-3x^2yz^2)^3
Alik [6]

=-8y^9*-27x^6y^3z^6

=216x^6y^12z^6

6 0
3 years ago
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