What is the area of this figure?<br> Please be 100% sure.

Illusion [34]

?????????????????????/ us a calculator to add up all the nub.

8 0

2 years ago

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

2 years ago

Quadrilateral GHIJ is similar to quadrilateral KLMN. Find the measure of side NK.

Leokris [45]

Answer:
NK = 14.4

Step-by-step explanation:

Given the following question:

We know that the two sides are similar
JI = 3, NM = 7.2

<u>The scale factor is 2.4 since....</u>

$3\times2.4=7.2$

Knowing the two sides are similar and if we multiply JI by 2.4, we get NM we can easily do the same for JG and NK.

JG = 6
$6\times2.4=14.4$
$=14.4$

NK = 14.4

Hope this helps.

6 0

2 years ago

Read 2 more answers

Adult tickets to a play cost $24. Tickets for children cost $18. Tickets for a group of 13 people cost $282. Write and solve a s

Elan Coil [88]

Let number of Adult ticket be x
and number of Child ticket be y
so
$282 = $24x + $18y.
:)

4 0

3 years ago

Read 2 more answers

A small jet can fly

Lostsunrise [7]

Answer:

The speed of the jet in still air is 260 miles per hour.

Step-by-step explanation:

Given that a small jet can fly 858 miles in 3 hours with a tailwind but only 702 miles in 3 hours into a headwind, to find the speed of the jet in still air the following calculation must be performed:

858/3 = 286

702/3 = 234

(286 - 234) / 2 = X

52/2 = X

26 = X

286 - 26 = 234 + 26

260 = 260

Therefore, the speed of the jet in still air is 260 miles per hour.

7 0

2 years ago

What is the area of this figure? Please be 100% sure.