Factor out the leading coefficient:

Now complete the square:

Now, redistributing the leading

gives
Answer:
a) 26
b) 26/3 = 8 2/3
Step-by-step explanation:
We know that
a(n)=4n+1
To find the sum of the first n<span> terms of an arithmetic series
use the formula
</span><span><span>Sn</span>=<span>n(<span>a1</span> + <span>an</span>)/2
</span></span>a1--------------> is the first term
an--------------> is the last term
n--------------- > <span>is the number of terms
</span>we have that
a1------------> 4*(1)+1=5
a30----------> 4*(30)+1=121
n------------- > 30
S30=30*(5 + 121)/2=1890
the answer is 1890
As in decimal it would be 0.4 but if you want a fraction it could be 4/10
Answer:
Question 1: 4/5 or %80
Question 2: 7/10 or %70
Step-by-step explanation:
<u>Step 1: Find the total amount of marbles</u>
5 + 2 + 3
<em>10</em>
<em />
<u>Step 2: Find the probability of not drawing a black marble</u>
Add the total amount of marbles that are not black
5 + 3
<em>8</em>
<em />
Now find the probability:
8/10
4/5 or %80
Answer: 4/5 or %80
<u>Step 3: Find the probability of not drawing a red marble</u>
Add the total amount of marbles that are not red
5 + 2
<em>7</em>
<em />
Now find the probability:
7/10 or %70
Answer: 7/10 or %70