Answer:
![\frac{x + 2}{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%20%2B%202%7D%7B3%7D%20)
Step-by-step explanation:
Replace y with f(x).
![y = 3x - 2](https://tex.z-dn.net/?f=y%20%3D%203x%20-%202)
Swap x and y and solve for y
![x = 3y - 2](https://tex.z-dn.net/?f=x%20%3D%203y%20-%202)
![x + 2 = 3y](https://tex.z-dn.net/?f=x%20%2B%202%20%3D%203y)
![\frac{x + 2}{3} = y](https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%20%2B%202%7D%7B3%7D%20%20%3D%20y)
The answer of the given question will be - ![ln |n| + c = e^{8+t} t - e^{8+t} - t + c](https://tex.z-dn.net/?f=ln%20%7Cn%7C%20%2B%20c%20%3D%20e%5E%7B8%2Bt%7D%20%20t%20-%20e%5E%7B8%2Bt%7D%20-%20t%20%2B%20c)
<h3>What is integration?</h3>
In mathematics, integration is a technique for combining or adding the parts to arrive at the total. It is a form of differentiation in reverse where we break down functions into their component elements. This technique is employed to determine the summation on a sizable scale.
We are given the equation as -
dn/dt + n = ![\int\limits^_ {}](https://tex.z-dn.net/?f=%5Cint%5Climits%5E_%20%7B%7D)
![nte^{t+8}](https://tex.z-dn.net/?f=nte%5E%7Bt%2B8%7D)
⇒ dn/dt =
![dn/dt = n(te^{t+8} - 1)\\dn/n = (te^{t+8} - 1)dt](https://tex.z-dn.net/?f=dn%2Fdt%20%3D%20n%28te%5E%7Bt%2B8%7D%20-%201%29%5C%5Cdn%2Fn%20%3D%20%28te%5E%7Bt%2B8%7D%20-%201%29dt)
Integrating on both sides,
⇒ ln |n| + c =![\int\limits^](https://tex.z-dn.net/?f=%5Cint%5Climits%5E)
![nte^{t+8} - n](https://tex.z-dn.net/?f=nte%5E%7Bt%2B8%7D%20-%20n)
⇒ ln |n| + c = ![e^{8+t} t - e^{8+t} - t + c](https://tex.z-dn.net/?f=e%5E%7B8%2Bt%7D%20%20t%20-%20e%5E%7B8%2Bt%7D%20-%20t%20%2B%20c)
To learn more about integration from given link
brainly.com/question/27419605
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this will equal 86 is the anwer to question u have asked
Answer:
3 1/5 hours
Step-by-step explanation:
1/4 book in 1 1/3 hours.
1 1/3 = 4/3
1/4 book in 4/3 hours
We can set up a proportion.
1/4 book is to 4/3 hours as 3/5 book is to x hours.
(1/4) / (4/3) = (3/5) / x
Cross multiply:
(1/4)x = 4/3 × 3/5
(1/4)x = 12/15
Multiply both sides by 4.
x = 48/15
Reduce:
x = 16/5
x = 15/5 + 1/5
x = 3 1/5
Answer: 3 1/5 hours
Answer:
1st one:
Temperatures Cool With Increasing Latitude
As latitude increases, the sun shines more obliquely and provides less warming energy.
Step-by-step explanation: