Answer:
Step-by-step explanation:
The roots are very clear on the graph. I have left them unlabeled so that you can put the two points in.
The points are (-4,0) and (-2,0)
The graph was done on desmos which you can look up. The box in the upper left corner was filled with
y = x^2 + 6x + 8
Answer:
3
Step-by-step explanation:
Simplify: (-7x2 - 3x) - (4x2 - x) ... -11x2 – 2x ... 3x – 5 + 23x – 9 = 3x + 23x – 5 – 9 = 26x – 14 = 2(13x – 7) Answer: 2(13x – 7). 11 . ... 2x - 3 + 3 = - 9 + 3, (Adding 3 on both sides) 2x = -6 2x/2 = -6/2
Answer:
44.4 units
Step-by-step explanation:
Recall: 2 tangents drawn from an external point from a circle are congruent
Perimeter of the quadrilateral = AB + BC + CD + AD
AB = 3.1 + 8 = 11.1
BC = 3.1 + 8 = 11.1
CD = 11.1 (given)
AD = 8 + 3.1 = 11.1
Perimeter = 11.1 + 11.1 + 11.1 + 11.1
= 44.4 units
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
}
Answer:
10.33
Step-by-step explanation:
is equal to 31 divided by 3, which is 10.33333333333333333...
Rounded to the nearest hundredth we get 10.33.
Hope this helps!
