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raketka [301]
3 years ago
8

-x-2y=9x+4y=9elimination

Mathematics
1 answer:
tamaranim1 [39]3 years ago
8 0
You add the second equation to the first which eliminates x and leaves you with 2y=18 so you divide 18 by 2 which is 9 so y=9 now you fill in one question for y so do x+4(9)=9 you get x+36=9 now subtract 36 from 9 and you get -27 so x=-27 and y=9
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The question is in the picture.
____ [38]

B. \:\frac{2}{ {a}^{7} } ✅

\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}

\frac{8}{2 \:  {a}^{5} }  \times  \frac{6}{12 \:  {a}^{2} }  \\  =  \frac{48}{24  \:(  {a})^{5 + 2}  }  \\  =  \frac{2}{ {a}^{7} }

<u>Note</u>:-

{a}^{m}  \times  {a}^{n}  =  {a}^{m + n}

\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}

5 0
2 years ago
Cuánto es 120 por 12<br>​
Novay_Z [31]

Answer:

120 x 12 = 1440

Step-by-step explanation:

7 0
2 years ago
Integral of x"2+4/x"2+4x+3
dolphi86 [110]

I'm guessing you mean

\displaystyle \int\frac{x^2+4}{x^2+4x+3}\,\mathrm dx

First, compute the quotient:

\displaystyle \frac{x^2+4}{x^2+4x+3} = 1 + \frac{4x-1}{x^2+4x+3}

Split up the remainder term into partial fractions. Notice that

<em>x</em> ² + 4<em>x</em> + 3 = (<em>x</em> + 3) (<em>x</em> + 1)

Then

\displaystyle \frac{4x-1}{x^2+4x+3} = \frac a{x+3} + \frac b{x+1} \\\\ \implies 4x - 1 = a(x+1) + b(x+3) = (a+b)x + a+3b \\\\ \implies a+b=4 \text{ and }a+3b = -1 \\\\ \implies a=\frac{13}2\text{ and }b=-\frac52

So the integral becomes

\displaystyle \int \left(1 + \frac{13}{2(x+3)} - \frac{5}{2(x+1)}\right) \,\mathrm dx = \boxed{x + \frac{13}2\ln|x+3| - \frac52 \ln|x+1| + C}

We can simplify the result somewhat:

\displaystyle x + \frac{13}2\ln|x+3| - \frac52 \ln|x+1| + C \\\\ = x + \frac12 \left(13\ln|x+3| - 5\ln|x+1|\right) + C \\\\ = x + \frac12 \left(\ln\left|(x+3)^{13}\right| - \ln\left|(x+1)^5\right|\right) + C \\\\ = x + \frac12 \ln\left|\frac{(x+3)^{13}}{(x+1)^5}\right| + C \\\\ = \boxed{x + \ln\sqrt{\left|\frac{(x+3)^{13}}{(x+1)^5}\right|} + C}

3 0
2 years ago
When you multiply expressions with the same base, you ______ the exponents. Add multiply
e-lub [12.9K]

Answer:

  ... you <u>add</u> the exponents

Step-by-step explanation:

An exponent is a way of showing repeated multiplication. For example, ...

  x^2 means x·x

and

  x^3 means x·x·x

If we multiply these two expressions together, we get ...

  (x^2)·(x^3) = (x·x)·(x·x·x) =  x·x·x·x·x

This is a product in which x appears as a factor 5 times, so we can write it using an exponent as ...

  x·x·x·x·x = x^5

___

That is, when we multiply the expressions, we add the numbers of times the factor appears in the product:

  2 + 3 = 5

  x^2 · x^3 = x^(2+3) = x^5

4 0
3 years ago
Cody wants to watch a movie that is 3 hours long he has watched 1/6 of the movie. How much time did Cody spend watching the movi
Anettt [7]

Answer:

3 hours is 60×3=180

1/6 of 180 =180÷ 6= 30

30 mins is the answer

Step-by-step explanation:

if you want to find another position other than 1/6 like 4/6 then you can just times the answer in this case 30 by the amout u need in this case 4 so 4/6 would be 120 which is 2 hours

8 0
3 years ago
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