Answer:
22.5
Step-by-step explanation:
If you expand the series, you can see the first few terms of the series:
- Putting 1 in
, 
- Putting 2 in ,
- Putting 3 in ,
- Putting 4 in ,
We can see the series is 0, 0.5, 1, 1.5, ....
This is an arithmetic series with common difference (the difference in 2 terms) 0.5 and first term 0.
We know formula for sum of arithmetic series:
Where,
denotes the nth partial sum
is the first term (in our case it is 0)- is the term (in our case it is 10 since we want to find 10th partial sum -- sum until first 10 terms)
is the common difference (difference in term and the previous term) (in our case it is 0.5)
Substituting these into the formula, we get the 10th partial sum to be:
So the sum of the first 10 terms is 22.5. Third answer choice is right.
Answer:
Step-by-step explanation:
We are given zeros as x=-4, x=-2
so, we can set up function as
Vertex is at (-1,3)
It means that graph passes through point (-1,3)
so, we can plug x=-1 and f(x)=3
and then we can solve for 'a'
we get
now, we can plug it back
and we get
now, we can simplify it
Answer:
45
Step-by-step explanation:
F(-4). F(x) = 2x^2 - x + 9
The greatest common factor (GCF) of 9, 21 and 60 is: 3
Factors of 9: 1, 3, 9
Factors of 21: 1, 3, 7
Factors of 60: 1, 2, 3, 4, 5, 6
The common factors between the three numbers are 1 and 3, but since 3 is the highest number, it is considered the GCF.
