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2 years ago

Subtract 8/9 - 1/3 5/6 5/9 7/9 7/12

Mathematics

1 answer:

Mars2501 [29]2 years ago

6 0

Answer:

3/9

Step-by-step explanation:

Common denominator: 27

24/27 - 9/27 = 15/27 = 3/9

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F(x) = 3x + x3

____ [38]

Answer:

Please check the explanation.

Step-by-step explanation:

Given

f(x) = 3x + x³

Taking differentiate

$\frac{d}{dx}\left(3x+x^3\right)$

$\mathrm{Apply\:the\:Sum/Difference\:Rule}:\quad \left(f\pm g\right)'=f\:'\pm g'$

$=\frac{d}{dx}\left(3x\right)+\frac{d}{dx}\left(x^3\right)$

solving

$\frac{d}{dx}\left(3x\right)$

$\mathrm{Take\:the\:constant\:out}:\quad \left(a\cdot f\right)'=a\cdot f\:'$

$=3\frac{d}{dx}\left(x\right)$

$\mathrm{Apply\:the\:common\:derivative}:\quad \frac{d}{dx}\left(x\right)=1$

$=3\cdot \:1$

$=3$

now solving

$\frac{d}{dx}\left(x^3\right)$

$\mathrm{Apply\:the\:Power\:Rule}:\quad \frac{d}{dx}\left(x^a\right)=a\cdot x^{a-1}$

$=3x^{3-1}$

$=3x^2$

Thus, the expression becomes

$\frac{d}{dx}\left(3x+x^3\right)=\frac{d}{dx}\left(3x\right)+\frac{d}{dx}\left(x^3\right)$

$=3+3x^2$

Thus,

f'(x) = 3 + 3x²

Given that f'(x) = 15

substituting the value f'(x) = 15 in f'(x) = 3 + 3x²

f'(x) = 3 + 3x²

15 = 3 + 3x²

switch sides

3 + 3x² = 15

3x² = 15-3

3x² = 12

Divide both sides by 3

x² = 4

$\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}$

$x=\sqrt{4},\:x=-\sqrt{4}$

$x=2,\:x=-2$

Thus, the value of x will be:

$x=2,\:x=-2$

5 0

2 years ago

Can SOMEONE please HELP ME on THIS????!!

andrey2020 [161]

Answer:

m C and m D are a linear pair // Definition of supplementary angles

m C + m D =180 // Definition of a linear pair

Step-by-step explanation:

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2 years ago

Quizziz helpiurhgipuwqb;qor

Amiraneli [1.4K]

Answer:

Ummm -6 and -4

Step-by-step explanation:

Duh

3 0

2 years ago

-4(2x + 4) > 8x + 64

romanna [79]

Hello there I hope you are having a great day :)

Your Question, -4(2x + 4) > 8x + 64 Solve for X

1) Expand -8x-16>8x+64

2) Add 16 to both sides -8x-16+16>8x+64+16

3) Simplify -8x>8x+80

4) Subtract 8x from both sides -8x-8x>8x+80-8x

5) Simplify -16x>80

6) Multiply both sides -1 (Reverse the inequality) (-16x) (-1) >80 (-1)

7) Simplify 16x<-80

8) divide both sides by 16 16x/16 < -80/16

9) Simplify x < -5

This should be your answer x < -5

Hopefully that helps you :)

5 0

2 years ago

Read 2 more answers

HELP!! ASAP!!! Please make sure your confident with answer :) already on 2nd attempt! Please help! Will give brainliest! :)

alexdok [17]

Y=2 its C
^^^^^^^^^^^^^^^^

6 0

3 years ago

Read 2 more answers