Answer:
13 ? hiiiiiiiiiiiiijjjjjjjjjjjjjjjjjkuuuu
The data is already sorted for us. The median of this set is the middle most value which is 7 (in slot 4; three values to the left and three values to the right).
So the median is originally 7
If we add 5 to each data value we get
3+5 = 8
4+5 = 9
6+5 = 11
7+5 = 12
9+5 = 14
9+5 = 14
11+5 = 16
So the old data set
{3,4,6,7,9,9,11}
shifts to
{8,9,11,12,14,14,16}
after we add 5 to each value
The middle most value of the updated set is 12. It corresponds exactly to the old median of 7.
So we technically didn't even need to add 5 to all of the values to see what the new median would be. We simply need to add 5 to the old median to get the new median
I.e,
(new median) = (old median) + 5
Answer:
First choice
Step-by-step explanation:
The difference quotient in general is 
. To get an expression for 
, replace x with x + h.
For this question,
Factor 
out of the numerator.
The equation that fits the standard form of a Quadratic equation is 2(x + 5)² + 8x + 5 + 6 = 0 which can be re-written as 2x² + 28x + 61 = 0.
<h3>What is a Quadratic Equation?</h3>
Quadratic equation is simply an algebraic expression of the second degree in x. Quadratic equation in its standard form is;
ax² + bx + c = 0
Where x is the unknown
From the given data, we check which of them fits the standard form of a quadratic equation.
- 2(x + 5)² + 8x + 5+ 6 = 0
2(x + 5)² + 8x + 5 + 6 = 0
2( (x(x+5) + 5(x+5) ) + 8x + 5 + 6 = 0
2( x² + 5x + 5x + 25 ) + 8x + 5 + 6 = 0
2( x² + 10x + 25 ) + 8x + 5 + 6 = 0
2x² + 20x + 50 + 8x + 5 + 6 = 0
2x² + 20x + 8x + 50 + 5 + 6 = 0
2x² + 28x + 61 = 0
Therefore, the equation that fits the standard form of a Quadratic equation is 2(x + 5)² + 8x + 5 + 6 = 0 which can be re-written as 2x² + 28x + 61 = 0.
Learn more about quadratic equations here: brainly.com/question/1863222
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