3 years ago

FIND THE RATIONALIZING FACTOR OF THE FOLLOWING:1)√ 2-√ 3 2)√ 12

Mathematics

1 answer:

sveta [45]3 years ago

8 0

2) 12 I just took the test

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Use partial fraction expansion to evaluate: LaTeX: \int\frac{x-1}{x^2+3x+2}dx ∫ x − 1 x 2 + 3 x + 2 d x a. LaTeX: -2\ln\left|x+1

ohaa [14]

$\frac{x-1}{x^2+3x+2}\\\frac{x-1}{(x+1)(x+2)}\\\frac{x-1}{(x+1)(x+2)}=\frac{A}{x+2}+\frac{B}{x+1}\\x-1=A(x+1)+B(x+2)\\\\\text{ Let } x=-1 \text{ then } -2=A(0)+B(-1+2) \text{ which means } B=-2\\\\\text{ Instead of choose } x \text{ to be -1, let's now set it equal to -2 to find } A\\\\-3=A(-1)+B(-2+2)\\-3=-A\\A=3\\\\ \text{ So your integral becomes } \\\int \frac{3}{x+2} dx+\int \frac{-2}{x+1} dx\\3 \ln|x+2|-2\ln|x+1|+C\\\\or\\-2\ln|x+1|+3\ln|x+2|+C$

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3 years ago

What is 2(9)0-7+3 to the 3rd power

RSB [31]

Answer:

I got -64

Step-by-step explanation:

The begging multiplication is 0 and subtract -7 is becomes just -7 then add 3 and it is -4 to the third power is -64

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3 years ago

270 american dollar and recevied 3000 pesos when he returned from mexico he had 100 pesos left. how many will he recevie when he

AURORKA [14]

To solve this problem we can use simple proportion
If
270$ -------------------------3000 pesos
x $ ---------------------------100 pesos (x$ means that we dont know how much)
Now we crossmultiplying to get proportion
x*3000=270*100
Now we just to solve eq
3000x=27000 /:3000
x=27000:3000
x=9$ - its the result

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Step-by-step explanation:

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3 years ago

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Find the missing number to make these fractions equal. 6/? = 4/12

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