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anastassius [24]
3 years ago
9

Simplify 13√5 +3√5 √21 √26 16√5 16√10

Mathematics
1 answer:
Aliun [14]3 years ago
3 0

Answer:

16√5

Step-by-step explanation:

13 \sqrt{5}  + 3 \sqrt{5}  \\  \\  = (13 + 3) \sqrt{5}  \\  \\  = 16 \sqrt{5}

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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
i need help with simplifying fractions only the top ones i will do the making of a decimal or ill ask the question later
Vladimir79 [104]

Answer:

see explanation

Step-by-step explanation:

(a)

\frac{32}{40} ← divide numerator and denominator by 4

= \frac{8}{10} = 0.8

(b)

\frac{35}{50} → divide numerator and denominator by 5

= \frac{7}{10} = 0.7

(c)

\frac{60}{40} ← divide numerator and denominator by 4

= \frac{15}{10} = 1.5

8 0
3 years ago
The graph of a non-invertible function passes through the points (- 1, 2), (0, 6) and (3, - 4) How is the inverse of this functi
KATRIN_1 [288]

Answer:

The order of ordered pairs of a function and its inverse reverse. The graph of the inverse of this function passes through the points (2,-1), (6,0), (-4,3).

Explanation:

I just took the test.

8 0
3 years ago
What is the radius for a circle whose equation is +=367
salantis [7]
You are correct the answer is a:18
3 0
2 years ago
Read 2 more answers
The ratio of boys to girls on the bus is 20/15
saveliy_v [14]

Answer:

Equivalent ratios

20 = 40 = 60 = 80 and so on....

15 = 30 = 45 = 60 and so on.....

Both include 60

3 0
3 years ago
Read 2 more answers
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