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Lilit [14]
3 years ago
12

Hi. I need help with this question (see image). Please show workings.​

Mathematics
1 answer:
Tanya [424]3 years ago
7 0

Answer:

\frac{dy}{dx} = 8(2x + 3)³

Step-by-step explanation:

Differentiate using the chain rule

Given

y = f(g(x)) , then

\frac{dy}{dx} = f'(g(x)) × g'(x)

Here

f(x) = (2x+3)^{4} ⇒ f'(x) = 4(2x + 3)³

g(x) = 2x + 3 ⇒ g'(x) = 2

Thus

\frac{dy}{dx} = 4(2x + 3)³ × 2

    = 8(2x + 3)³

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What is the value of x? <br><br> 3x+17=14x-5
Feliz [49]

Answer:

x=2

Step-by-step explanation:

3x+17=14x-5 so...

22=11x (subtract 3x and add 5 to both sides)

2=x (divide both sides by 11)

3 0
3 years ago
Read 2 more answers
Do u guys mind helping me??
Rasek [7]

Answer:

I think the constant is 2.

Step-by-step explanation:

5 is coefficient because it is with a variable. So 5 cannot be constant.

5 0
2 years ago
Name: Michael Gutierrez
serious [3.7K]

Answer:

TU

Step-by-step explanation:

5 0
3 years ago
−4x+7y+5=0<br> x−3y=−5<br> ​ <br><br> How many solutions does the system have?
xeze [42]

   

Solution:  

Using Substitution Method:

-4x+7y=-5   (Equation 1)

x-3y=-5       (Equation 2)

get the value of x from Equation 2

x=3y-5     (Equation 3)  

Put the value of x from Equation 3 in Equation 1

-4(3y-5)+7y=-5

-4(3y)+20+7y=-5

-12y+7y=-5-20

-5y=-25

Negative sign on both sides cancels each other

y=25/5

y=5

Putting value of y in equation 3

x=3(5)-5

x=15-5

x=10

Therefore,   [x,y]=[10,5]

Using Elimination Method

-4x+7y=-5   (Equation 1)

x-3y=-5       (Equation 2)

Multiply equation 2 with -4 in order to eliminate the x term

-4(x-3y)=-5*4

-4x+12y=20     (Equation 3)

Adding Equation 1 and 3

-4x+7y=-5    

-4x+12y=20    

+    -     = -   (Change Of Sign with x and y terms)

-----------------

0x-5y = -25

-5y=-25

y=5  

Substituting y’s value is Equation 1

-4x+7(5)=-5

-4x+35=-5

-4x=-40

Cancellation of negative sign on both sides

x=40/4

x=10

[x,y]=[10,5]

3 0
2 years ago
To the nearest tenth which choice is length of ac​
xz_007 [3.2K]

Answer:

there is no photo

Step-by-step explanation:

but to answer the question for example: 0.04 would round down to the nearest tenth 0.0 and 0.05 would round up to 0.1      . So if the number is 5 or above round up or if it is 4 or below round down, hope this helps

3 0
2 years ago
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