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polet [3.4K]
3 years ago
5

Find the inverse of 12x-8

Mathematics
1 answer:
ValentinkaMS [17]3 years ago
4 0

Answer:

-12x + 8

Step-by-step explanation:

The inverse is it's opposite, or when you stick a negative sign in front of it:

- (12x - 8)

Since the subtraction sign is outside the parentheses, it makes everything on the inside the opposite:

- (12x - 8) =

-12x + 8

That's your answer!

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Integrate xe^(-x^2).
Gekata [30.6K]
You can easily integrate it using a simple substitution:

\large\begin{array}{l} \mathsf{\displaystyle\int\!x\,e^{-x^2}\,dx}\\\\ =\mathsf{\displaystyle\int\!\left(-\frac{1}{2}\right)\cdot (-2)x\,e^{-x^2}\,dx}\\\\ =\mathsf{\displaystyle-\,\frac{1}{2}\int\!\,e^{-x^2}\cdot (-2x)\,dx\qquad\quad(i)}\\\\ \end{array}


\large\begin{array}{l} \textsf{Let}\\\\ \mathsf{-x^2=u,}\quad\textsf{then}\quad\mathsf{-2x\,dx=du}\\\\\\ \textsf{so (i) becomes}\\\\ =\mathsf{\displaystyle-\,\frac{1}{2}\int\!e^u\,du}\\\\ =\mathsf{\displaystyle-\,\frac{1}{2}\cdot e^u+C}\\\\ =\mathsf{\displaystyle-\,\frac{1}{2}\cdot e^{-2x}+C}\\\\\\ \boxed{\begin{array}{c} \mathsf{\displaystyle\int\!x\,e^{-x^2}\,dx=-\,\frac{1}{2}\,e^{-x^2}+C} \end{array}}\qquad\checkmark \end{array}


If you're having problems understanding this answer, try seeing it through your browser: brainly.com/question/2159730


\large\textsf{I hope it helps. :-)}


Tags: <em>integrate substitution indefinite integral exponential composite calculus</em>

7 0
4 years ago
What is median height of 72, 75, 78, 72, and 73?
sleet_krkn [62]
The median height is the one in the middle when placed in numerical order. Which in this case, it is 73. (the bolded numbers are those that are being crossed out)

72, 72, 73, 75, 78
72, 72, 73, 75, <span>78
</span>72, 72, 73, 75, 78

73 is the median height!
6 0
4 years ago
Read 2 more answers
Can the mixed fraction 3 and 5/7 be changed into a decimal? Explain how in complete sentences.
pashok25 [27]

Answer:

Yes (3.71428571429)

Step-by-step explanation:

all mixed numbers and fractions can be changed into decimals. The line in a fraction that separates the numerator and denominator can be rewritten using the division symbol. So, to convert a fraction to a decimal, divide the numerator by the denominator. If required, you can use a calculator to do this. This will give us our answer as a decimal.

3 0
3 years ago
Rectangle ABCD is dilated by a scale factor of One-half with a center of dilation at the origin. What are the coordinates of the
MissTica

Answer:

The new coordinate of image of point B (-4, 6) will be B'(-2, 3) when a rectangle ABCD is dilated by a scale factor of One-half with a center of dilation at the origin.

Step-by-step explanation:

Considering the vertices of the rectangle ABCD

  • A(-8, 6)
  • B(-4, 6)
  • C(-4, 4)
  • D(-8, 4)

When a rectangle ABCD is dilated by a scale factor of One-half with a center of dilation at the origin, then the coordinate of image of point B can be calculated by multiplying the x and y coordinates of point B with 1/2.

i.e.

B(-4, 6) → B'(-4/2, 6/2) = B'(-2, 3)

Therefore, the new coordinate of image of point B (-4, 6) will be B'(-2, 3) when a rectangle ABCD is dilated by a scale factor of One-half with a center of dilation at the origin.

4 0
4 years ago
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Which is the galaxy is the closest to our galaxy at the moment ​
patriot [66]
<h2>Andromeda galaxy is your answer </h2>
7 0
4 years ago
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