Answer:
b
Step-by-step explanation:
If you wanted to compute for your budget for natural gas
this month using the data you have recorded about your consumption of natural gas
for the past four months, the best estimate to be budgeted this month would be
the average consumption for the past 4 months. To get the average, you have to
add the four numbers and divide it by four.
$112
+ $108 + $99 + $89 = $408/4 = $102
Answer:
The graph in the attached figure
Step-by-step explanation:
we have the equation of the line in point slope form
where
the point is (5,5)
the slope is m=1/5
Remember that
The formula of slope is "rise over run", where the "rise" (means change in y, up or down) and the "run" (means change in x, left or right)
so
<em>To graph the line</em>
1. Plot the point (5,5).
2. From that point, count right 5 units and up 1 unit and plot a second point.
3. Draw a line through the two points
so
The new point is (5+5,5+1) ----> (10,6)
Plot the points (5,5) and (10,6) and draw a line through the two points
The graph in the attached figure
Answer:
Step-by-step explanation: Explanation:
If
L
,
H
and
W
represent the length, height and width of the prism, then the volume of the rectangular prism is :
V
=
L
.
H
.
W
............. (1)
Given :
V
=
x
3
+
11
x
2
+
20
x
−
32
;
............... (2)
W
=
(
x
−
1
)
;
H
=
(
x
+
8
)
.
Let
L
=
(
x
+
l
0
)
be the expression for the length, then the RHS of equation (1) becomes
L
.
H
.
W
=
(
x
−
l
0
)
(
x
+
8
)
(
x
−
1
)
,
=
(
x
+
l
0
)
(
x
2
+
7
x
−
8
)
=
(
x
+
l
0
)
(
x
2
+
7
x
−
8
)
=
x
3
+
(
7
+
l
0
)
x
2
+
(
7
l
0
−
8
)
x
−
8
l
0
..... (3)
Comparing this to the LHS of equation (1), we get the following set of equations to solve for
l
0
,
7
+
l
0
=
11
;
7
l
0
−
8
=
20
;
8
l
0
=
32
;
l
0
=
4
Therefore
L
=
(
x
+
4
)
Answer: 616
Explanation:
When finding the volume of an object use: LxWxH
L=14
W=11
H=4
Now multiply 14x11x4=616
-LizzyIsTheQueen
