6+3x = 2(2 + x)
First we will need to open the parenthesis by multiplying the number that’s in front of them:
6+3x=4+2x
Now we need to separate the numbers from the X. By subtracting 2x from both sides:
6+3x=4+2x
-2x -2x
————————
6+x=4
Now we subtract 6 from both sides.
6+x=4
-6 -6
—————
X = -2
Answer:
0 ≤ an ≤ bn
The series ∑₁°° bn converges
The series ∑₁°° an converges by comparison to ∑₁°° bn.
0 ≤ an ≤ bn
The series ∑₁°° bn diverges
The comparison test is inconclusive for our choice of bn.
Step-by-step explanation:
an = 1 / (n² + n + 3) and bn = 1 / n²
The numerators are the same, and the denominator of an is greater than the denominator of bn. So 0 ≤ an ≤ bn.
bn is a p series with p > 1, so it converges.
Since the larger function converges, the smaller function also converges.
an = (3n − 1) / (6n² + 2n + 1) and bn = 1 / (2n)
If we rewrite bn as bn = (3n − 1) / (6n² − 2n), we can tell that when the numerators are equal, the denominator of an is greater than the denominator of bn. So 0 ≤ an ≤ bn.
bn is a p series with p = 1, so it diverges.
The larger function diverges. We cannot conclude whether the smaller function converges or diverges.
Answer:
s = 2.5w + 10
Step-by-step explanation:
You have $10.00. Each week you save $2.50. The number of weeks you save w increases your savings s. Write an equation relating your savings s to the number of weeks you save w.
Your total savings (s) =
How many weeks you have been saving * how much you earn every week + the amount of money you already have.
So, the final equation should be:
w * 2.5 + 10 = s
Simplify.
s = 2.5w + 10
I hope this helps! Feel free to ask any questions!
Answer:
x = 50
Step-by-step explanation:
<em><u>The first step is to subtract 6 from both sides:</u></em>
- 6 - 6
___________
= -12.5
<u><em>The fraction </em></u><u><em>, is really just </em></u>
<u><em>:</em></u>
= -12.5
<em><u>Multiply both sides by -4:</u></em>
x = 50
Step-by-step explanation:
MUN={1,2,3,4,6,8}
M intersection N={1,2}
hope it helps.
