Answer:
2kx+4y=20 ⇒ kx+2y=10
3x+6y=30 ⇒ x+2y= 10
k is the coefficient of x, so it is the slope of the line
- when k=1, both equations will be same, then there are many solutions
- when k=0 there is one solution
- when k is anything different, then the lines will be parallel, so no solutions
Answer:
8 = b - 1 + 8b
group like terms
8 + 1 = b + 8b
9 = 9b cus b standing alone me 1b
divide both side by 9
<u>9</u><u> </u> = <u>9</u><u>b</u>
9 9
b = 1
Answer:
14.387
Step-by-step explanation:
Answer:
iiiii
Step-by-step explanation:
An alternating series
converges if
is monotonic and
as
. Here
.
Let
. Then
, which is positive for all
, so
is monotonically increasing for
. This would mean
must be a monotonically decreasing sequence over the same interval, and so must
.
Because
is monotonically increasing, but will still always be positive, it follows that
as
.
So,
converges.