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Nutka1998 [239]
3 years ago
14

Solve the system of equations by graphing. {y=x+1 y=2x

Mathematics
1 answer:
lawyer [7]3 years ago
8 0

Answer:

x=1, y=2

Step-by-step explanation:

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Eighty degrees is Drawn how
alexdok [17]
It is a little less than 90 degrees, which is a right angle, so it will be more acute
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3 years ago
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Find the indefinite integral using the substitution provided.
Nady [450]

Answer:  7\text{Ln}\left(e^{2x}+10\right)+C

This is the same as writing 7*Ln( e^(2x) + 10) + C

=======================================================

Explanation:

Start with the equation u = e^{2x}+10

Apply the derivative and multiply both sides by 7 like so

u = e^{2x}+10\\\\\frac{du}{dx} = 2e^{2x}\\\\7\frac{du}{dx} = 7*2e^{2x}\\\\7\frac{du}{dx} = 14e^{2x}\\\\7du = 14e^{2x}dx\\\\

The "multiply both sides by 7" operation was done to turn the 2e^(2x) into 14e^(2x)

This way we can do the following substitutions:

\displaystyle \int \frac{14e^{2x}}{e^{2x}+10}dx\\\\\\\displaystyle \int \frac{1}{e^{2x}+10}14e^{2x}dx\\\\\\\displaystyle \int \frac{1}{u}7du\\\\\\\displaystyle 7\int \frac{1}{u}du\\\\\\

Integrating leads to

\displaystyle 7\int \frac{1}{u}du\\\\\\7\text{Ln}\left(u\right)+C\\\\\\7\text{Ln}\left(e^{2x}+10\right)+C\\\\\\

Be sure to replace 'u' with e^(2x)+10 since it's likely your teacher wants a function in terms of x. Also, do not forget to have the plus C at the end. This is a common mistake many students forget to do.

To verify the answer, you can apply the derivative to it and you should get back to the original integrand of \frac{14e^{2x}}{e^{2x}+10}

4 0
2 years ago
Which ratio is equivalent to 8:6
dybincka [34]

Answer:

4:3

Step-by-step explanation:

You divide 8 and 6 by 2 to simplify it

8 0
3 years ago
Please solve 2x+3=x−4
ddd [48]
The answer is x = -7
4 0
3 years ago
Read 2 more answers
Solution to <br> -7+3w=4w-8
Contact [7]
-7 + 3w = 4w - 8

-7 = 4w - 8 - 3w

-7 = w - 8

-7 + 8 = w

1 = w

hope this helped, blessings! :)
8 0
3 years ago
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