The unit cost decreases the more you buy at once. 1.10/1 = $1.10 you're paying $1.10 per 1. 1.98/2 = $ .99 you're paying $.99 per 1 2.89/3 = $.96 you're paying $.96 per 1. When you buy 9 you're paying less per 1 than you are when you buy 1
Find the scale used on the width:
New width / old width = 9/4 = 2.25
Multiply the original height by the scale:
6 x 2.25 = 13.5
Answer: 13.5 inches
Answer: A point.
Step-by-step explanation:
There are three undefined terms in geometry :
1) point 2) line 3) plane
A point has zero dimension and it is used to locate a figure on coordinate plane.
The location of figure is represented by a point in the form of ordered pairs (x,y), on coordinate plane where x= abscissa and y= ordinate.
A line is one dimensional straight indefinite path on plane that has no width.
A plane is a two-dimensional flat surface that extends upto infinity.
So , the undefined geometric term is described as a location on a coordinate plane that is designated by an ordered pair, (x, y) is A point.
4(2x1) ahdnwixkeobej <—- ignore that I just needed to type 20 characters
Answer:
4x+2h
Step-by-step explanation:
The average rate of change of a continuous function,
f
(
x
)
, on a closed interval
[
a
,
b
]
is given by
f
(
b
)
−
f
(
a
)
b
−
a
So the average rate of change of the function
f
(
x
)
=
2
x
2
+
1
on
[
x
,
x
+
h
]
is:
A
r
o
c
=
f
(
x
+
h
)
−
f
(
x
)
(
x
+
h
)
−
(
x
)
=
f
(
x
+
h
)
−
f
(
x
)
h
...
.
.
[
1
]
=
2
(
x
+
h
)
2
+
1
−
(
2
x
2
+
1
)
h
=
2
(
x
2
+
2
x
h
+
h
2
)
+
1
−
2
x
2
−
1
h
=
2
x
2
+
4
x
h
+
2
h
2
−
2
x
2
h
=
4
x
h
+
2
h
2
h
=
4
x
+
2
h
Which is the required answer.
Additional Notes:
Note that this question is steered towards deriving the derivative
f
'
(
x
)
from first principles, as the definition of the derivative is:
f
'
(
x
)
=
lim
h
→
0
f
(
x
+
h
)
−
f
(
x
)
h
This is the function we had in [1], so as we take the limit as
h
→
0
we get the derivative
f
'
(
x
)
for any
x
, This:
f
'
(
x
)
=
lim
h
→
0
4
x
+
2
h
=
4
x
