Answer:
Vertical Asymptote:
Horizontal asymptote:
it does not exist
Step-by-step explanation:
we are given
Vertical asymptote:
we know that vertical asymptotes are values of x where f(x) becomes +inf or -inf
we know that any log becomes -inf when value inside log is zero
so, we can set value inside log to zero
and then we can solve for x
we get
Horizontal asymptote:
we know that
horizontal asymptote is a value of y when x is +inf or -inf
For finding horizontal asymptote , we find lim x-->inf or -inf
so, it does not exist
Answer:
a(4) = -18
Step-by-step explanation:
The fourth term in the sequence is when n = 4. Substitute n = 4 into the rule a(n)=-6-4(n-1).
a(4) = -6 - 4(4-1)
a(4) = -6 - 4(3)
a(4) = -6 - 12
a(4) = -18
5(n-4)=(4n-12)
First: Distribute 5 into n and -4.
5(n-4)=(5n)+(5*-4)= 5n-20.
Second: Subtract 4n from both sides to eliminate the variable from the right side of the equation.
(5n-20)=(4n-12)
n-20=-12
Next: Add 20 to both sides to eliminate the constant from the left side of the equation.
n-20=-12
n=8
The unknown number is 8.
Just add the height of the basement to the height of the building. C.70 feet
Solution :
Let y = amount of caffeine at a given time in body.
n = number of hours
So 
ln Y = -0.01 n + C
At n = 0, Y = 130 mg
ln 130 = -0.01 x 0 + C
C = ln 130
When Y = 65
n = 69.315 hours
At n = 24 hours
Y = 102.26 mg
