For
to be continuous at
, we need to have
Note that
means that
, but that
is *approaching* 5. We're told that for
, we have
We can write
and the limit would be
and so
is discontinuous.
12 because six people came to the party and you shake their hand
PEMDAS
3 ( x - 7 ) = 9 ( 4x + 5 )
3x - 21 = 36x + 45
-36
-33x - 21 = 45
+21
-33x = 66
------ ------
-33 -33
x = -2
Your answer should be -2
I hope this helps!
The
<u>correct answer</u> is:
Matthew's rate is higher by $50 per month.
Explanation:
We know that Christopher's rate is $550 per month.
To find Matthew's rate, we will treat the data we have as ordered pairs:
(3, 1800)
(6, 3600)
(9, 5400)
We find the slope of the line between these points. The formula for slope is:
Using the first two points, we have:
To verify Matthew saves the same amount each month, we will find the slope between the second two points and make sure they're the same:
Matthew's rate is $600 per month.
This is higher than Christopher's by 600-550=$50 per month.
