The value of two arithmetic means which are inserted between 3 and 24 are 24/9 and 75/9.
<h3>What is arithmetic mean?</h3>
Arithmetic mean is the mean or average which is equal to the ratio of sum of all the group numbers to the total numbers.
The two arithmetic means between 3 and 24 are has to be inserted.
3, A₂, A₃, 24
All the four numbers are in arithmetic progression. The nth terms of AM can be found using the following formula:
t(n)=a(n-1)d
Here, d is the common difference a is the first terms and n is the total term. The first term, a=3 and t₄=24. Thus, the common difference is;
![t(n)=a(n-1)d\\t(4)=3(4-1)d\\24=3(3)d\\24=9d\\d=\dfrac{24}{9}](https://tex.z-dn.net/?f=t%28n%29%3Da%28n-1%29d%5C%5Ct%284%29%3D3%284-1%29d%5C%5C24%3D3%283%29d%5C%5C24%3D9d%5C%5Cd%3D%5Cdfrac%7B24%7D%7B9%7D)
The second and 3rd term are:
![A₂=3+\dfrac{24}{9}=\dfrac{51}{9}\\ A₃=\dfrac{51}{9}+\dfrac{24}{9}=\dfrac{75}{9}](https://tex.z-dn.net/?f=A%E2%82%82%3D3%2B%5Cdfrac%7B24%7D%7B9%7D%3D%5Cdfrac%7B51%7D%7B9%7D%5C%5C%20A%E2%82%83%3D%5Cdfrac%7B51%7D%7B9%7D%2B%5Cdfrac%7B24%7D%7B9%7D%3D%5Cdfrac%7B75%7D%7B9%7D)
Thus, the value of two arithmetic means which are inserted between 3 and 24 are 24/9 and 75/9.
Learn more about the arithmetic mean here;
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The correct answer is: J- all positive real numbers
Step-by-step explanation:
The domain is the set of possible inputs for the given function and range is the set of outputs for all possible inputs.
Given function is:
y = 1.29x + 3
x can take any value as the function will not be undefined for any value of x.
Hence,
The range will also be all real numbers.
Hence,
The correct answer is: J- all positive real numbers
Keywords: Functions, domain, Range
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<span>x - 4 / y + 2 = 5
x - 4 = 5(y + 2)
x = 5y + 10 + 4
x = 5y + 14
</span>
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