means to say that for any given 
, we can find 
such that anytime 
(i.e. the whenever 
is "close enough" to 5), we can guarantee that 
(i.e. the value of 
is "close enough" to the limit value).
What we want to end up with is
Dividing both sides by 3 gives
which suggests 
is a sufficient threshold.
The proof itself is essentially the reverse of this analysis: Let be given. Then if
and so the limit is 7. QED
This equals 0.146341463414634
Answer:
8 hours
Step-by-step explanation:
14 + 3x =38
-14 -14
--------------------
3x = 24
---- ----
3 3
--------------------
x = 8
Answer:
m
=
4
Step-by-step explanation:
Given -
8
x
−
2
y
=
14
It is in the form
a
x
+
b
y
=
c
If a linear equation is in this form, then -
It slope is
−
a
b
In our case, we shall use this formula
m
=
−
8
−
2
=
4
To find the y-intercept put
x
=
0
8
(
0
)
−
2
y
=
14
−
2
y
=
14
y
=
14
−
2
=
−
7
To find the x-intercept put
y
=
0
8
x
−
2
(
0
)
=
14
8
x
=
14
x
=
14
8
=
7
4
