Compute the measures of center for both the boys and girls data. Describe their differences. Use the terms mean and median to ju
stify your answer.
The Board:
Boys: 50, 32, 15, 56, 81, 50, 18, 81, 22, 55
Girls: 75, 41, 25, 22, 7, 0, 43, 12, 45, 70
The Board:
Boys: 50, 32, 15, 56, 81, 50, 18, 81, 22, 55
Girls: 75, 41, 25, 22, 7, 0, 43, 12, 45, 70
1 answer:
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Answer:
Step-by-step explanation:
First, you have to substitute both functions into the equation to get:
Then, you distribute the negative sign in front of g(x) to get:
And finally, you add/subtract the x's that have the same power to get:
For a quadratic of the form 
, we have the quadratic formula
,
where a is the coefficient (number before the variable) of the squared term, b is the coefficient of the linear term, and c is the constant term.
So, given
, we can get that 
, and 
. We substitute these numbers into the quadratic formula above.
This is our final answer.
If you've never seen the quadratic formula, you can derive it by completing the square for the general form of a quadratic. Note that the
symbol (read: plus or minus) represents the two possible distinct solutions, except for zero under the radical, which gives only one solution.
where a is the coefficient (number before the variable) of the squared term, b is the coefficient of the linear term, and c is the constant term.
So, given
This is our final answer.
If you've never seen the quadratic formula, you can derive it by completing the square for the general form of a quadratic. Note that the