Complete Question
You are organizing books on a shelf. Each book has a width of 3/4 inch. The number of shelves is 12.
Write and solve an inequality for the numbers of books b that can fit on the shelf.
Answer:
a) Inequality for the numbers of books b that can fit on the shelf
= b ≤ 3x/4
b) The numbers of books b that can fit on the shelf is b ≤ 9 books
Step-by-step explanation:
Let the number of books = b
Let us assume the number of shelves= x
Each book has a width of 3/4 inch.
Therefore,
b ≤ 3/4 × x
b ≤ 3x/4
If the number of the shelves is 12
Therefore, the number of books bis
b ≤ 3 × 12/4
b ≤ 9 books
Answer:
c. (5,-2), (3, 1), (4,2).
Step-by-step explanation:
The solutions are in the dark red area, with some on the continuous blue line but none on the red dotted line.
If you take the derivative of your equation, you get:
2′″−″−′+′=0
2
y
′
y
″
−
x
y
″
−
y
′
+
y
′
=
0
or
″(2′−)=0.
y
″
(
2
y
′
−
x
)
=
0.
Let =′
v
=
y
′
and we have ′(2−)=0,
v
′
(
2
v
−
x
)
=
0
,
so either ′=0
v
′
=
0
and =
v
=
c
or =/2
v
=
x
/
2
.
Then ′=
y
′
=
c
and so =+
y
=
c
x
+
d
or ′=/2
y
′
=
x
/
2
and =2/4.
y
=
x
2
/
4.
Plugging the first into the original equation gives =−2
d
=
−
c
2
. So there are two solutions =−2
y
=
c
x
−
c
2
for some constant
c
and =2/4
y
=
x
2
/
4
. I don't know if this is all the solutions
That would be the average of total time paddled upstream & downstream . . . 12 miles / 7 hours = approx 1.71 miles per hr
102.444444444 is the answer
