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Blizzard [7]
3 years ago
15

What is the solution of StartFraction 1 Over c minus 3 EndFraction minus StartFraction 1 Over c EndFraction = StartFraction 3 Ov

er c (c minus 3) EndFraction?
c = 0 and c = 3
all real numbers
all real numbers, except c ¹ 0 and c ¹ 3
no solution
Advanced Placement (AP)
2 answers:
Bingel [31]3 years ago
4 0

Answer:

  • <u><em>All real numbers except c = 0 and c = 3.</em></u>

Explanation:

The equation is:

   \dfrac{1}{c-3}-\dfrac{1}{c}=\dfrac{3}{c(c-3)}

Since c - 3, c, and c(c - 3) are he denominators, none of them can be equal to zero:

  • c ≠ 0
  • c - 3 ≠ 0 ⇒ c ≠ 3
  • c (c - 3) ≠ 0 ⇒ c ≠ 0 and c ≠ 3.

Now you can multiply both sides of the equation by the common denominator: c (c - 3):

       c-(c-3)=3\\\\c-c+3=3\\\\0=3-3\\\\0=0

That means the equality is valid for all real numbers for which it is defined, which is all real numbers except c = 0 and c = 3.

777dan777 [17]3 years ago
3 0

Answer:

c on edg

Explanation:

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Describe the europn parliament
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7 0
3 years ago
If the world population is estimated to be 7 billion in 2011, and is growing at a rate of 1.2%,when is the population likely to
GrogVix [38]

Answer


B) 2041


Explanation:

The rate of growth per year is 1.2% which means after first year the population will be


                   7+ 7×(1.2/100)


After second year


                   7×1.012 +7×1.012 (1.2/100)


                  =7×1.012  (1+1.2/100)


                   =7×1.012  (1.012)


                   =7×1.012  ×1.012  


Similarly, after third year it will be as:


                    =7×1.012  ×1.012 ×1.012    

So our after x year the growth will be


                       7 (1.012)^x  

We need to find, when the value will be 10 billion so our equation will be as:


                       10=7×(1.012)^x

                We can solve it easily here.  

                       10/7= (1.012)^x

                Take log on both sides


                   ㏒  10/7 = ㏒(1.012^x)


                   ㏒  10/7 = ㏒(1.012^x)


                   ㏒  10/7  ÷㏒(1.012) = x

                    x =29.90 ≈ 30


Conclusion:


So it will take 30 years to take the world population to reach 10 billion if the rate of growth is 1.2%. Thus 2011 + 30 = 2041 is the correct answer.  


6 0
3 years ago
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