To solve this system of equations, since y is already isolated in both equations, you can set the expressions to equal each other to solve for x:
-x + 2 = - 5x - 6
-x + 5x = -6 - 2
4x = -8
x = -2
Now that we have x, we can substitute it into one of the equations to find y:
y = -(-2) + 2
y = 2 + 2
y = 4
The last step is to substitute both values into both equations to see if they are correct:
4 = -(-2) + 2 --> 4 = 2 + 2 <--True
4 = -5(-2) - 6 --> 4 = 10 - 6 <--True
Answer:
x = -2
y = 4
Answer:
The series is absolutely convergent.
Step-by-step explanation:
By ratio test, we find the limit as n approaches infinity of
|[a_(n+1)]/a_n|
a_n = (-1)^(n - 1).(3^n)/(2^n.n^3)
a_(n+1) = (-1)^n.3^(n+1)/(2^(n+1).(n+1)^3)
[a_(n+1)]/a_n = [(-1)^n.3^(n+1)/(2^(n+1).(n+1)^3)] × [(2^n.n^3)/(-1)^(n - 1).(3^n)]
= |-3n³/2(n+1)³|
= 3n³/2(n+1)³
= (3/2)[1/(1 + 1/n)³]
Now, we take the limit of (3/2)[1/(1 + 1/n)³] as n approaches infinity
= (3/2)limit of [1/(1 + 1/n)³] as n approaches infinity
= 3/2 × 1
= 3/2
The series is therefore, absolutely convergent, and the limit is 3/2
Answer:
1/5 . 950
This is cause 20% =20/100 and when reduced it is 1/5
The answer to the question is x=-12.1hopes this helps you.
<span> Step 1: subtract X from both sides.
0.5x-6-x=x+0.05-x
-0.5x-6=0.05</span>
Step 2: Add 6 to both sides.
-0.5x-6+6=0.05+6
-0.5x=6.05
Step 3: Divide both sides by -0.5.−0.5x−0.5=6.05−0.5
Answer:
<u>33.82</u>
Step-by-step explanation:
8.9 x 3.8 would be 33.82
make brainliest if u want
Hope this helped :)