What is the median of the data? 68,69,71,71,71,73,74,75,75,78 answers: 71,72,78,72.5
2 answers:
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The question can be rewritten to
This case about equations with one variable. We have to solve this calculation to obtain the value of M. Our task is to isolate the variable M alone at the end of the process on one side of the equation until the variable will be equal to a value on the opposing side.
Let's arrange it into an equation, i.e.,
Turn this equation over so that the position of variable M is on the left side.
Both sides are multiplied by 10 to isolate M on the left side. The fraction are eliminated.
M = 1,000
Therefore, we have calculated the number that was asked.
Hence
<u>Note: </u>
The significant thing to carry out is how to manipulate both sides of the equation with the algebraic properties of equality such as:
- Adding
- Subtracting
- Multiplying, and/or
- Dividing both sides of the equation with a similar number
And the commutative property of multiplication, i.e.,
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Keywords: 100 is 1/10 of, solve, 1,000, variable, 2/7m - 1/7 = 3/14, algebraic properties of equality, one, linear equation, isolated, manipulate, operations, add, subtract, multiply, divide, fraction, equate, denominator, numerator, both sides, equal, the opposite, both sides are multiplied by, turn, calculation
Part A is accomplished by first factoring out the b^2 to get
. Factor that completely using the quadratic formula to get 
. Part B is done entirely with the quadratic formula (only cuz that's the easiest way to factor a second degree polynomial!) to get (x-9)(x-9) or (x-9) multiplicity 2. Part C is done by taking roots. Keep in mind that since this is a second degree polynomial you will have 2 solutions. 
, therefore, 
and 
which is +11 and -11. And you're done! Factoring is very important...make sure you learn it and learn it well!!!