Answer:
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Algebra Examples
Popular Problems Algebra Find the Asymptotes f(x)=10/(x^2-1)
f
(
x
)
=
10
x
2
−
1
Find where the expression
10
x
2
−
1
is undefined.
x
=
−
1
,
x
=
1
Since
10
x
2
−
1
→
∞
as
x
→
−
1
from the left and
10
x
2
−
1
→
−
∞
as
x
→
−
1
from the right, then
x
=
−
1
is a vertical asymptote.
x
=
−
1
Since
10
x
2
−
1
→
−
∞
as
x
→
1
from the left and
10
x
2
−
1
→
∞
as
x
→
1
from the right, then
x
=
1
is a vertical asymptote.
x
=
1
List all of the vertical asymptotes:
x
=
−
1
,
1
Consider the rational function
R
(
x
)
=
a
x
n
b
x
m
where
n
is the degree of the numerator and
m
is the degree of the denominator.
1. If
n
<
m
, then the x-axis,
y
=
0
, is the horizontal asymptote.
2. If
n
=
m
, then the horizontal asymptote is the line
y
=
a
b
.
3. If
n
>
m
, then there is no horizontal asymptote (there is an oblique asymptote).
Find
n
and
m
.
n
=
0
m
=
2
Since
n
<
m
, the x-axis,
y
=
0
, is the horizontal asymptote.
y
=
0
There is no oblique asymptote because the degree of the numerator is less than or equal to the degree of the denominator.
No Oblique Asymptotes
This is the set of all asymptotes.
Vertical Asymptotes:
x
=
−
1
,
1
Horizontal Asymptotes:
y
=
0
No Oblique Asymptotes
image of graph
Let’s say we have 1 and 3.
3-1=2
Thats an even number, so false, but lets check some more just to be sure:
27-3=24 (even)
13-5=8 (even)
75-3=72 (even)
So, the answer is false.
3t-18t+4=-26
first you want to move the 4 to the other side of the equation so subtract that from both sides of the equation which gives you this 3t-18t=-30.
Next you would combine the like terms that are on the left side of the equation giving you -15t=-30. Now you want t by itself so you divide both sides by -15 which would give you t=2
Answer:
A. Y = -6X + 9
Step-by-step explanation:
Solving for y, we can find the slope of the given line. It is the coefficient of x, 1/6.
-12y = -2x -1
y = 1/6x +1/12
The perpendicular line will have a slope that is the negative reciprocal of this:
m = -1/(1/6) = -6
The y-intercept will be the y-value corresponding to x=0. That value is b=9, given to us by the point the line is to go through. So, we have the slope-intercept form ...
y = mx + b
y = -6x + 9