We have the equation
Let's complete the square, to do it let's add and subtract 25 on the right side
Now we can have y in function of x
Now we can already identify the vertex because it's in the vertex form:
Where the vertex is
As we can see, h = 5 and k = -2, then the vertex is
Now we can continue and find the focus, the focus is
We have a = 1/20, therefore
The focus is
And the last one, the directrix, it's
Then
Hence the correct answer is: vertex (5, -2); focus (5, 3); directrix y = -7
Answer:
First equation is -425
Second equation is 11.25
Step-by-step explanation:
First equation we can write as
computing
When i=0 ->
When i=1 ->
...
When i=7 ->
then replacing each term we have
For the second equation we'll have 9 terms, solving in a similar fashion
When i=1 ->
When i=2 ->
When i=3 ->
...
When i=9 ->
So we have 0.25 + 0.50 + 0.75 + 1.00 + 1.25 + 1.50+ 1.75 +2.00 +2.25
Answer:
Step-by-step explanation:
Given that Young millennials, adults aged 18 to 34, are viewed as the future of the restaurant industry. During 2011, this group consumed a mean of 192 restaurant meals per person (NPD Group website, November 7, 2012).
It is claimed that due to poor economy this average might have been subjected to a change.
To test this claim we have to conduct a hypothesis test.
The hypotheses would be with null there is no change against alternate that there is differnce.
(Two tailed test)
