Answer:
- Put the numbers in order
- Cross off the high/low pairs
- Add the leftover numbers
- Divide the sum by 2
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Explanation:
The numbers sort to this
16, 18, 23, 24, 29, 30
Cross off the outer most values 16 and 30 to end up with this smaller set
18, 23, 24, 29
Then repeat to get this smaller set
23,24
We add up these numbers and divide the sum by 2
(23+24)/2 = 47/2 = 23.5
The median is 23.5
The last steps of adding and dividing by 2 only works if we have an even number of values in the original set.
g(x) = -x² + 10x - 30
the equation of a quadratic in vertex form is
y = a(x - h)² + k
where (h, k ) are the coordinates of the vertex and a is a multiplier
here vertex = (5, - 5 ), hence
y = a(x - 5)² - 5
to find a substitute the point on the graph (8, - 14) into the equation
- 14 = 9a - 5 ⇒ 9a = - 9 ⇒ a = - 1
y = - (x - 5)² - 5 = - (x² - 10x + 25) - 5 = - x² + 10x - 30
g(x) = - x² + 10x - 30 ← in standard form
