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3 years ago

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

1 answer:

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]

$B. \:\frac{2}{ {a}^{7} }$ ✅

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

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

Note:-

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

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

5 0

3 years ago

Cuánto es 120 por 12

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

x ² + 4x + 3 = (x + 3) (x + 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 add 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