Answer:
12 inches of red ribbon + 7 inches
therefore the length of a blue ribbon is = 19 inches
A = 4,
we denote one side of the rectangle with
a
, and the other with
b
we can write, that:
a
⋅
b
=
16
so we can write, that
b
=
16
a
Now we can write perimeter
P
as a function of
a
P
=
2
⋅
(
a
+
16
a
)
We are looking for the smallest perimeter, so we have to calculate derivative:
P
(
a
)
=
2
a
+
32
a
P
'
(
a
)
=
2
+
(
−
32
a
2
)
P
'
(
a
)
=
2
−
32
a
2
=
2
a
2
−
32
a
2
The extreme values can only be found in points where
P
'
(
a
)
=
0
P
'
(
a
)
=
0
⇔
2
a
2
−
32
=
0
2
a
2
−
32
=
0
x
a
2
−
16
=
0
×
x
.
.
a
2
=
16
×
×
x
a
=
−
4
or
a
=
4
Since, length is a scalar quantity, therefore, it cannot be negative,
When
a
=
4
,
b
=
16
4
b
=
4
Answer: (10x + 30)
Step-by-step explanation:
1. combine like terms. -4x + 3x = -x
2. you can’t have a negative x, so you would multiply the equation (-x+3) by -1, to get (x-3).
3. (x-3)(10)... 10 • x = 10x, 10 • 3 = 30.
4. put them together, answer would be 10x + 30.
28,000*48%=13440
The truck is worth $13,440 in three years.
