I think that is proportional
Answer:
y-1 = 3(x-2)
Step-by-step explanation:
Point slope form is
y-y1 = m(x-x1) where m is the slope and (x1,y1) is a point on the line
y-1 = 3(x-2)
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
}
Solving the expression ![-[-2(x-4) - |1-3|] = -2x18](https://tex.z-dn.net/?f=-%5B-2%28x-4%29%20-%20%7C1-3%7C%5D%20%3D%20-2x18)
we get value of x: 
Step-by-step explanation:
We need to solve the equation and find value of x
Solving:
Multiply -2 with terms inside the bracket
![-[-2x+8 - |1-3|] = -2x18](https://tex.z-dn.net/?f=-%5B-2x%2B8%20-%20%7C1-3%7C%5D%20%3D%20-2x18)
Solving |1-3| we get |-2|=2
![-[-2x+8 - 2] = -2x18](https://tex.z-dn.net/?f=-%5B-2x%2B8%20-%202%5D%20%3D%20-2x18)
![-[-2x+6] = -2x18](https://tex.z-dn.net/?f=-%5B-2x%2B6%5D%20%3D%20-2x18)
Multiply (-) sign with terms inside the bracket
Multiply 2x with 18
Add 36x on both sdides
Add 6 on both sides:
Divide both sides by 38
Simplifying:
So, Solving the expression we get value of x:
Keywords: Solving Equations
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#learnwithBrainly
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Below is the solution:
<span>distance = 475
</span>time = 9.5 hrs
<span>since distance and time varies directly
</span>
therefore in 9.5 hrs train travels 475 miles
=> In 1 hr train travels 475 / 9.5 miles = 50 miles
<span>and in 4 hrs train travells 50*4 i.e 200 miles </span>
