Step-by-step explanation:
Here we have
f
(
x
)
=
2
x
2
(
x
2
−
9
)
, which can be factorized as
f
(
x
)
=
2
x
2
(
x
+
3
)
(
x
−
3
)
As there is no common factor between numerator and denominator, there s no hole.
Further vertical asymptotes are
x
=
−
3
and
x
=
3
and as
f
(
x
)
=
2
x
2
(
x
2
−
9
)
=
2
1
−
9
x
2
, as
x
→
∞
,
f
(
x
)
→
2
, hence horizontal asymptote is
y
=
2
.
Observe that
f
(
−
x
)
=
f
(
x
)
and hence graph is symmetric w.r.t.
y
-axis. Further as
x
=
0
,
f
(
x
)
=
0
. Using calculas we can find that at
(
0
,
0
)
there is a local maxima as
d
y
d
x
=
−
36
x
(
x
2
−
9
)
2
and at
x
=
0
it is
0
. Further while for
x
<
−
3
and
x
>
3
, function is positive, for
−
3
<
x
<
3
function is negative.
Now take a few values of
x
say
{
−
10
,
−
7
,
−
4
,
−
2
,
−
1
,
1
,
2
,
4
,
7
,
10
}
and corresponding values of
f
(
x
)
are
{
2
18
91
,
2
9
20
,
4
4
7
,
−
1
3
5
,
−
1
4
,
−
1
4
,
−
1
3
5
,
4
4
7
,
2
9
20
,
2
18
91
}
-1 - 8 / 2 + 1 = -9 / 3 = -3
-1 = -3(2) + b
-1 = -6 + b
Add 6 to both sides.
5 = b
y = -3x + 5
15%=.15
84 x .15=$12.60 discount
subtract from $84
84-12.60= $71.40
multiply by .07 sales tax
71.40 x .07= 4.998 rounded off to $5.00
total cost $71.40 + $5.00=
$76.40 is what Tami paid for the coat
hope this helps
Answer:
The mean hourly snowfall is 2.5 centimeters
Step-by-step explanation:
The mean hourly snowfall is the number of centimeters that fell during the period divided by the number of hours.
From 5 P.M. to 9 P.M., there are 4 hours
At 5 P.M., the total snowfall is 2 centimeters.
At 9 P.M., the total snowfall is 12 centimeters.
So in those four hours, the depth of snow increases 12-2 = 10 centimeters
10/4 = 2.5
The mean hourly snowfall is 2.5 centimeters
5:2:3....added = 10
5/10(25) = 125/10 = 12.5 liters of pear juice
2/10(25) = 50/10 = 5 liters pineapple juice
3/10(25) = 75/10 = 7.5 liters plum juice
