The mean of the data set is 6.8.
<h3>What is the mean?</h3>
Mean is the average value of the given set of observations. In statistics, we also come across different types of mean such as Arithmetic, Geometric and Harmonic mean.
Given
The data set is 14, 7, 2, 8, 3.
The mean of the data set is given by;
Hence, the mean of the data set is 6.8.
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First join the log4 on the left:
log4( x*(x-3) = log4(-7x+21)
Then x = -7, works: -7*(-10)=70 = -7*(-7)+21
x=-3, 18 = 42, does not work
x=3 0=0 works,
However, when one puts x = -7 in the *original* exression, log4(-7) or log4(-10) do not exist (you know why?). So x= -7 is extraneous.
Now x=3 gives log4(0) on the left and right, which does not exist.
So, C is the answer, both are extraneous. Seem to work but indeed don't work in the *original* equation
1.5 gallons x 3.785 liters x 1000 milliliters
---------------- -------------------- = 5677.5 milliliters
1 gallon 1 liter
4x + y = h
Rearrange the problem so your equation equals x, not h
y - h = -4x
Divide both sides by -4
-4y - 4h = x
Cheers!
