Which rule explains why these triangles are congruent?

The values of h'(x) is h'(x) = 20 [tex](e^{2x} + x) ^{3}[/tex]  (2[tex]e^{2x}[/tex] + 1 ).

Option C is the correct answer.

Given,

f(x)=5x^4 and g(x)=e^2x+x.

If h is the function defined by h(x)=f(g(x)),

We need to find h′(x).

We have,

dx/dx = 1

d[tex]x^{n}[/tex]/dx = n[tex]x^{n-1}[/tex]

d[tex]e^{x}[/tex]/dx = [tex]e^{x}[/tex]

d[tex]e^{n}[/tex]/dx = [tex]ne^{n}[/tex]

d(cx)/dx = c(dx/dx) = c

We have,

- f(x)=5[tex]x^{4}[/tex] ______(1)
- g(x)=[tex]e^{2x}[/tex]+x ______(2)

- h(x)=f(g(x)) _______(3)

Now,

h(x) = f ( [tex]e^{2x}[/tex]+x )

From (1)

h(x) = 5[tex](e^{2x} + x) ^{4}[/tex] ______(4)

Now,

Differentiate (4)

h'(x) = 5 d[tex](e^{2x} + x) ^{4}[/tex]/dx

h'(x) = 5 x 4 [tex](e^{2x} + x) ^{3}[/tex] d [tex](e^{2x} + x)[/tex] / dx

h'(x) =20 [tex](e^{2x} + x) ^{3}[/tex] ( d[tex]e^{2x}[/tex]/dx + dx/dx )

h'(x) = 20 [tex](e^{2x} + x) ^{3}[/tex]  (2[tex]e^{2x}[/tex] + 1 )

Thus the values of h'(x) is h'(x) = 20 [tex](e^{2x} + x) ^{3}[/tex]  (2[tex]e^{2x}[/tex] + 1 ).

Option C is the correct answer.

Learn more about differentiation here:

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Answer

B DID THE TEST

Step-by-step explanation:

YOU WILL DO YOU GOOD LUCK

Answer:

No solution

Step-by-step explanation:

5x−4≥12 AND 12x+5≤−4

solve it separately

5x - 4>=12

add 4 on both sides

5x >= 16

Divide both sides by 5

x > = 16/5

12x+5≤−4

subtract 5 from both sides

12x <= -9

divide both sides by 12

x<= -9/12

x<=-9/12   and x>= 16/5

There is no intersection between the inequalities

so there is no solution

Step-by-step explanation:

The formula used to determine the terms is

an = a1 × rn - 1

It is given that

a1 = 4

a8 = -8,748

Substituting the values in the formula

-8748 = 4 × r8 - 1

r7 = -8748/4

r7 = -2187

r = -3

So the 16th term is

a16 = 4 × 316-1

a16 = -57395628

Therefore, the 16th term is -57395628.

Answer:

Amal and Ji rent the same amount of per hour but Amal had a starting fee of $75

Step-by-step explanation:

Answer:

x = 5/8 = 0.625

Step-by-step explanation:

the answer is table d !! good luck :)

Answer: x = 26

                    1

                     -

                     4

Answer:

16.8

Step-by-step explanation:

we have to do  Unitary method.

when y=15 then x=12

when y=1 the x=12/15

when y=21 then x=(12*21)/15

x=16.8

Answer:

Your smart maybe

Step-by-step explanation:

Answer:

I Think 2.

Step-by-step explanation:

If im correct pls give brainliest im tired thx! :D

[tex]\huge\fbox\orange{A} \huge\fbox\red{N}\huge\fbox\blue{S}\huge\fbox\green{W}\huge\fbox\gray{E}\huge\fbox\purple{R}[/tex]

[tex]\huge\underline\mathsf\colorbox{white}{2}[/tex]

[tex]\huge\underline\mathtt\colorbox{cyan}{I'm Sure}[/tex]

[tex]\huge\mathsf\colorbox{white}{}[/tex]

Answer:

blank chart

Step-by-step explanation:

Answer:

Line a. goes to table 3, line b. goes to table 2, and line c. goes to table 1.

Step-by-step explanation:

Here are the 3 lines graphed (I even labeled each for you) so you can have a bit of a visual.

Hopefully you can find the points on each graph.

(Hint: The x row represents the x coordinate of an ordered pair, and the y row represents the y coordinate of an ordered pair.)

Ordered pairs look like this btw (x,y)

Hope this helps :)

there's not information for me to help. what are the choices in the word box?

Answer:

112

Step-by-step explanation:

Answer:

q + q + 4

Step-by-step explanation:

q + q +4

Answer:

She can buy 3

Step-by-step explanation:

Answer:

20x15=300

When you need to calculate the Length and Width of a piece of land or anything else, all you need to do is multiply the two numbers.

Step-by-step explanation:

When you have 20 units of land in as the length and 15 units of land as width, then you should multiply.

2x4=?

When you do 2x4, you have to do 2+2+2+2=

but, here, you have a piece of land to calculate, so basically, you have to multiply still. In that way, you will be able to get what 20 and 15's product is.

I'm sorry, sometimes I just can't explain that well, but just remember, in these types of problems, just multiply, that is your answer.

Thank You! I hope I made your day just a little better!

Have a great time studying!

Hi there!  

»»————-　★　————-««

I believe your answer is:  

[tex]x > 0.9475[/tex]

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]4x + 1.21 > 5\\\rule{150}{0.5}\\\rightarrow 4x + 1.21 - 1.21 > 5 - 1.21\\\\\rightarrow 4x > 3.79\\\\\rightarrow \frac{4x>3.79}4}\\\\\rightarrow \boxed{x > 0.9475}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

7

Step-by-step explanation:

You subtract 220 - 129 = 91 then divide by 13

Answer:

The answer I think, might be or possibly is A 20 aq ft. Bcuz, if you use the 1:4 scale, you'll get like for an example, 20:80..So, 5:? must be 5:20..get what I mean??? it's kinda tuff for me to explain since English is not my first language but thereee you go XD

Answer:

y = -4 x -9

Step-by-step explanation:

If it wrong i'm sorry

Answer:

4

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

E to A is 3 and D to A is 2 so you add the two together and get 5 which is B.

Let me know if I'm wrong.

5(-2)² - 9

First, solve the one in the bracket which is -2 × -2 which gives us =4

5(4) - 9

Then, multiply 5 with 4 so

20 - 9

Then you'll get 11

Answer:

the answer is the 3rd one.

Step-by-step explanation:

Answer:

67

Step-by-step explanation:

Answer:

the angle must be 30 degree. because the value of sin30 is ½ and this means 0.5

9514 1404 393

Answer:

  (d)

Step-by-step explanation:

The second line of the function is ...

  f(x) = 6, x ≥ 3

This tells you that portion of the graph is the horizontal line y = 6, extending to the right from x = 3, and that there will be a solid dot at (3, 6).

This shows only on the attached graph.

Answer:

4th graph

Step-by-step explanation: