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BaLLatris [955]
2 years ago
12

- 9 + x = 11 x =___ help

Mathematics
2 answers:
svp [43]2 years ago
8 0

Answer:

-0.9

Step-by-step explanation:

Paraphin [41]2 years ago
8 0

Answer:

x=-9/10 or -0.9

Step-by-step explanation:

You have to isolate the variable by dividing each side by factors that don't contain the variable. Hope this helped! :)

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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
3 years ago
The data set shows the number of hours per week that each student in a class spends studying at home. What is the shape of the d
AVprozaik [17]

Answer:

The answer is symmetrical

Step-by-step explanation:

            x

        x  x  x

    x  x  x  x  x

x   x  x  x  x  x  x

___________________________

1   2  3  4  5  6 7

4 0
3 years ago
What is the factored form of this expression? 4x^3 - 8x^2 - 9x + 18
natta225 [31]

Answer:

D.

Step-by-step explanation:

6 0
3 years ago
In the same amount of time, James drove twice as far as Roger. Altogether, James and Roger drove 90km. Find the number of kilome
miskamm [114]

Answer:

james drove 60 and roger drove 30

Step-by-step explanation:

90/3= 30= roger

90/3=30x2=60= james

james(60)+roger(30)= 90

8 0
3 years ago
Can you help me plss! ​
Ksivusya [100]

(1/3) × the cone's volume = The cylinder's volume.

Step-by-step explanation:

Step 1:

The volume of any cone is obtained by multiplying \frac{1}{3} with π, the square of the radius (r^{2}) and the height (h).

So the volume of the cone, V=\pi r^{2} \frac{h}{3}.

Step 2:  

The cylinder's volume is nearly the same as the cone but instead by multiplying \frac{1}{3} we multiply with 1.

So the cylinder's volume is determined by multiplying π with the square of the radius of the cylinder (r^{2}) and the height of the cylinder (h).

So the the cone's volume, V = \pi r^{2} h.

Step 3:

Now we equate both the volumes to each other.

The cone's volume : The cylinder's volume = \pi r^{2} \frac{h}{3}: \pi r^{2} h = \frac{1}{3} : 1.

So if we multiply the cone's volume with \frac{1}{3} we will get the cylinder's volume with the same dimensions.

5 0
3 years ago
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