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AveGali [126]
3 years ago
5

Let f(x) = 1/x+2 and g (x) = 1/x-3. Find (f/g) (x). Assume all appropriate restrictions to the domain. help!!!!

Mathematics
1 answer:
DanielleElmas [232]3 years ago
3 0

Answer:(f/g)(x)=(1+2x)/(1-3x) where x<>0

Step-by-step explanation:

f(x)= 1/x+2= (1+2x)/x  ,   x<>0

g(x)=1/x-3=(1-3x)/x    , x<>0

=>f(x)/g(x)= (1+2x)/(1-3x)    ,  x<>0

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Eights rooks are placed randomly on a chess board. What is the probability that none of the rooks can capture any of the other r
erastova [34]

Answer:

The probability is \frac{56!}{64!}

Step-by-step explanation:

We can divide the amount of favourable cases by the total amount of cases.

The total amount of cases is the total amount of ways to put 8 rooks on a chessboard. Since a chessboard has 64 squares, this number is the combinatorial number of 64 with 8, 64 \choose 8 .

For a favourable case, you need one rook on each column, and for each column the correspondent rook should be in a diferent row than the rest of the rooks. A favourable case can be represented by a bijective function  f : A \rightarrow A , with A = {1,2,3,4,5,6,7,8}. f(i) = j represents that the rook located in the column i is located in the row j.

Thus, the total of favourable cases is equal to the total amount of bijective functions between a set of 8 elements. This amount is 8!, because we have 8 possibilities for the first column, 7 for the second one, 6 on the third one, and so on.

We can conclude that the probability for 8 rooks not being able to capture themselves is

\frac{8!}{64 \choose 8} = \frac{8!}{\frac{64!}{8!56!}} = \frac{56!}{64!}

7 0
3 years ago
Plz help me 8+x^2-11
likoan [24]

Answer:

-3 + x^2

Step-by-step explanation:

8+x^2-11

First combine the like terms.

so..

8-11 = -3

= -3 + x^2

but we don't know the value of x so we just leave it as it is.

And they both are not like terms so we cant solve them together so you stop there

Hope that helped!

6 0
3 years ago
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Carolyn swim 35 laps in 1/2 hour. How far will she swim in 4 hours? Please help.
NARA [144]
70 laps in 40 hours


1/2+1/2=4

35+35=70
I think
3 0
2 years ago
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disa [49]
The giraffe 65,000 grams
8 0
3 years ago
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I don’t quite get this question so I need some help please.
WARRIOR [948]

Answer:

if the area of the base is 20 then the volume is 300 if it's 16 then it's 240 but if it's 25.6 then the volume is 384. I would give you a specific answer if the area of base was specified

5 0
3 years ago
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