Answer:
x = (y - b)/m.
Step-by-step explanation:
y=mx+b
Subtract b from both sides :-
y - b = mx
Divide both sides by m:-
(y - b) /m = x.
Answer:
would be the correct statement.
Step-by-step explanation:
As we know that
Average rate of change = Change in output / Change in input
= Δy / Δx
As the average rate of change of g(x) between x = 4 and x = 7 is 5/6.
so
Therefore, would be the correct statement.
Answer:
We cannot use method B
Step-by-step explanation:
We cannot use method B . We do not know that there be the same number of even and odd numbers assigned with a random number generator
By the Stolz-Cesaro theorem, this limit exists if
also exists, and the limits would be equal. The theorem requires that
be strictly monotone and divergent, which is the case since
.
You have
so we're left with computing
This can be done with the help of Stirling's approximation, which says that for large
,
. By this reasoning our limit is
Let's examine this limit in parts. First,
As
, this term approaches 1.
Next,
The term on the right approaches
, cancelling the
. So we're left with
Expand the numerator and denominator, and just examine the first few leading terms and their coefficients.
Divide through the numerator and denominator by
:
So you can see that, by comparison, we have
so this is the value of the limit.
Answer:
Are you sure it is 1830?
Or is it a typo and might 18?
Step-by-step explanation: