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Basile [38]
3 years ago
5

Which function represents exponential decay?

Mathematics
1 answer:
max2010maxim [7]3 years ago
6 0
F(x) = 2(Two-thirds)x


Explanation:
Exponential functions are in the form
y= ab^x If a is positive and b is greater than 1, then it is exponential growth. If a is positive and b is less than 1 but greater than 0, then it is exponential decay.
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Rationalize the denominator<br><br> 11/Square root of 5 - square root of 6
olasank [31]

Answer:

-11\sqrt{5}-11\sqrt{6}

Step-by-step explanation:

The given radical expression is;

\frac{11}{\sqrt{5}-\sqrt{6}}

We multiply both the numerator and the denominator by the conjugate of

\sqrt{5}-\sqrt{6} which is \sqrt{5}+\sqrt{6}

\frac{11(\sqrt{5}+\sqrt{6})}{(\sqrt{5}-\sqrt{6})(\sqrt{5}+\sqrt{6})}

The denominator is now difference of two squares;

\frac{11(\sqrt{5}+\sqrt{6})}{(\sqrt{5})^2-(\sqrt{6})^2}

Simplify:

\frac{11(\sqrt{5}+\sqrt{6})}{5-6}

\frac{11(\sqrt{5}+\sqrt{6})}{-1}

-11(\sqrt{5}+\sqrt{6})

-11\sqrt{5}-11\sqrt{6}

8 0
3 years ago
Please find the answer
Serggg [28]

Answer:

x^3 + 1/x^3 = 488

Step-by-step explanation:

  • x^2 + 1/x^2 = 62
  • x^2 + 1/x^2 + 2 = 64
  • ( adding 2 in both sides )
  • (x + 1/x ) ^2 = 64
  • x + 1/x = 8

now,

  • ( x+ 1/x ) ^ 3 = 512
  • x^3 + 1/x^3 + 3 × x × 1/x ( x + 1/x )
  • x^3 + 1/x^3 + 3 ( 8 )
  • ( since x + 1/x = 8 )
  • x^3 + 1/x^3 + 24 = 512
  • x^3 + 1/x^3 = 488

hence, we got x^3 + 1/x^3 = 488

8 0
3 years ago
A cylinder water tower has a diameter of 15 meters and a height of 5 meters about how many gallons of water can the tower contai
xxTIMURxx [149]
I can answer this !!
5 0
4 years ago
What is the length of Line segment D C? 2 units 3 units 6 units 9 units
Arisa [49]

the answer is 3 units

6 0
3 years ago
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Which interval for the graphed function contains the local minimum of 0
andrezito [222]
The answer is [-3,2] but the graph isn't on there u cant see. it would be more better understanding if shown the graph to go with it.
7 0
3 years ago
Read 2 more answers
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