The sum of twice a number and 8 is 44. what's the number? show your work.
1 answer:
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Splitting up the interval [0, 6] into 6 subintervals means we have
![[0,1]\cup[1,2]\cup[2,3]\cup\cdots\cup[5,6]](https://tex.z-dn.net/?f=%5B0%2C1%5D%5Ccup%5B1%2C2%5D%5Ccup%5B2%2C3%5D%5Ccup%5Ccdots%5Ccup%5B5%2C6%5D)
and the respective midpoints are
. We can write these sequentially as 
where 
.
So the integral is approximately
Recall that
so our sum becomes
and the respective midpoints are
So the integral is approximately
Recall that
so our sum becomes
Answer: Choice C
Vertex = (5, -2)
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Explanation:
Vertex form is where the vertex itself is located at (h,k)
As the name implies, we can very quickly pull out the coordinates of the vertex without doing much math at all.
In the case of choice C, we have which is the same as
and we can see that h = 5 and k = -2. Therefore, the vertex is located at (h,k) = (5, -2)