Answer:
Step-by-step explain
Find the horizontal asymptote for f(x)=(3x^2-1)/(2x-1) :
A rational function will have a horizontal asymptote of y=0 if the degree of the numerator is less than the degree of the denominator. It will have a horizontal asymptote of y=a_n/b_n if the degree of the numerator is the same as the degree of the denominator (where a_n,b_n are the leading coefficients of the numerator and denominator respectively when both are in standard form.)
If a rational function has a numerator of greater degree than the denominator, there will be no horizontal asymptote. However, if the degrees are 1 apart, there will be an oblique (slant) asymptote.
For the given function, there is no horizontal asymptote.
We can find the slant asymptote by using long division:
(3x^2-1)/(2x-1)=(2x-1)(3/2x+3/4-(1/4)/(2x-1))
The slant asymptote is y=3/2x+3/4
Answer:
5.401×10^-1
Step-by-step explanation:
You move the decimal over one to get5.401×10^−1
Answer:
The answer to your question is: first piece = 4 in, second piece = 8 in, third piece = 12 in
Step-by-step explanation:
Data
total length = 24 inches
first piece = x in
second piece = 2x
third piece = 3x
Equation
x + 2x + 3x = 24
6x = 24
x = 24/6
x = 4 length of the first piece
second piece = 2(4) = 8 inches
third piece = 3(4) = 12 inches
Answer:
see explanation
Step-by-step explanation:
a and 85 form a straight angle and are supplementary, thus
a + 85 = 180 ( subtract 85 from both sides )
a = 95
b and 85 are vertical angles and are congruent, thus
b = 85
c and 85 are corresponding angles and congruent, thus
c = 85
c and d are vertical angles and congruent, thus
d = 85
In conclusion
a = 95, b = 85, c = 85, d = 85
Answer:
18 minutes
Step-by-step explanation:
if you divide 109 by 6, ya get 18.166666-