Answer:
y = 3x + 1
Step-by-step explanation:
y = 3x + b
-5 = 3(-2) + b
-5 = -6 + b
1 = b
If we rewrite this equation, it would look like this:
, which is the equation for a straight line with a slope of -4/3 and a y-intercept of 20. The y-intercept exists when x = 0. "x" represents the number of minutes he drives, "y" represents the number of laps he drives. Slope is rise/run, or y/x, which gives us that he drives 4 laps in 3 minutes (the slope of our line). The y-intercept, when x = 0, tells us that when he has driven 0 minutes, or hasn't driven at all yet, he still has 20 laps to go. When y = 0, the x-intercept is
, and
. Multiply both sides by 3 to get that -60 = -4x and that means that x is 15. This means that from start to finish, it takes him 15 minutes to drive the 20 laps.
Answer:
979.68in²
Step-by-step explanation:
3.14× 6² =226.08
3.14× 6×40 = 753.6
753.6 + 226.08 = answer stated above
Answer:
y
=
5
x
x
+
6
Find where the expression
5
x
x
+
6
is undefined.
x
=
−
6
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
=
1
m
=
1
Since
n
=
m
, the horizontal asymptote is the line
y
=
a
b
where
a
=
5
and
b
=
1
.
y
=
5
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
=
−
6
Horizontal Asymptotes:
y
=
5
No Oblique Asymptotes
image of graph
