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D + q = 110......d = 110 - q
0.10d + 0.25q = 20.30
0.10(110 - q) + 0.25q = 20.30
11 - 0.10q + 0.25q = 20.30
-0.10q + 0.25q = 20.30 - 11
0.15q = 9.30
q = 9.30/0.15
q = 62 <==== there are 62 quarters
d = 110 - q
d = 110 - 62
d = 48 <==== there are 48 dimes
Answer:
(b) 1
Step-by-step explanation:
To differentiate
we will need the product rule:
.
We have
, so the following equation is true by the transitive property:

By subtraction property we have:

Since
, then we can divide both sides by
:


This implies
is constant.
So we have that
where
is a real number.
Since
and
, then by transitive property
.
So
.
Checking:


So the following conditions were met.