The value of du becomes 4 by integration.
According to the statement
we have given a two statement which are u - 4x and u = x + 1.
And we have to find the value of du by the use of integration.
An Integral assigns numbers to functions in a way that describes the data.
So,
From u - 4x
here du becomes by derivative
du - 4dx/du
du = 4dx/du. -(1)
And in u = x + 1.
here du becomes
du = dx/du -(2)
by comparing both terms from equation (1) and (2) we get the value of du
du = 4.
the value of du is 4.
So, The value of du becomes 4 by integration.
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Answer:
Domain : { -3, 0, 3}
Range : { 1 , 1 , 1 }
Function : These set of ordered pairs are functions as every x-value has only one y-value associated with it.
Answer:
5 hours and 48 minutes
Step-by-step explanation:
The equation for finding average speed is: ![\frac{\text{Total Distance}}{\text{Total Time}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BTotal%20Distance%7D%7D%7B%5Ctext%7BTotal%20Time%7D%7D)
Let x represent the distance for both the journey from Riley's college to home and back. We can use one variable to represent this because both distances are the same.
We also know that the total round trip took 12 hours. Let y represent the time it took for Riley to drive from college to home. Therefore the time it takes for Riley to drive from home to college is 12 - y.
Using this information, we can set up a system of equations.
<h3>Setting up a System of Equations</h3>
![65.1=\frac{x}{y}\\\\69.6=\frac{x}{12-y}](https://tex.z-dn.net/?f=65.1%3D%5Cfrac%7Bx%7D%7By%7D%5C%5C%5C%5C69.6%3D%5Cfrac%7Bx%7D%7B12-y%7D)
Multiply both sides of the first equation by "y" and both sides of the second equation by "12 - y".
![65.1y=x\\\\835.2-69.6y=x](https://tex.z-dn.net/?f=65.1y%3Dx%5C%5C%5C%5C835.2-69.6y%3Dx)
Since both 65.1y and 835.2-69.6y are equivalent to x, we can set them equal to each other.
![65.1y=835.2-69.6y](https://tex.z-dn.net/?f=65.1y%3D835.2-69.6y)
Now, we have to solve the equation for time or "y".
<h3>Solving for Time</h3>
![65.1y=835.2-69.6y](https://tex.z-dn.net/?f=65.1y%3D835.2-69.6y)
Add 69.6y to both sides
![65.1y+69.6y=835.2](https://tex.z-dn.net/?f=65.1y%2B69.6y%3D835.2)
![134.7y=835.2](https://tex.z-dn.net/?f=134.7y%3D835.2)
Divide both sides by 134.7
![y\approx6.2 $ hours = Six hours Twelve Minutes](https://tex.z-dn.net/?f=y%5Capprox6.2%20%24%20hours%20%3D%20Six%20hours%20Twelve%20Minutes)
This is the time it took for Riley to drive from college to home, therefore the time it took for Riley to drive from home back to college is:
![12-6.2=5.8=5$ hours and 48 minutes](https://tex.z-dn.net/?f=12-6.2%3D5.8%3D5%24%20hours%20and%2048%20minutes)
5 hours and 48 minutes
Answer:
b
Step-by-step explanation:
opposite of 8- i tried sorry its because im a 4th grader
Step-by-step explanation:
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