Answer:
The correct answers are:
(1) The vertical asymptote is x = 0
(2) The horizontal asymptote is y = 0
Step-by-step explanation:
(1) To find the vertical asymptote, put the denominator of the rational function equals to zero.
Rational Function = g(x) =
Denominator = x = 0
Hence the vertical asymptote is x = 0.
(2) To find the horizontal asymptote, check the power of x in numerator against the power of x in denominator as follows:
Given function = g(x) =
We can write it as:
g(x) =
If power of x in numerator is less than the power of x in denominator, then the horizontal asymptote will be y=0.
If power of x in numerator is equal to the power of x in denominator, then the horizontal asymptote will be y=(co-efficient in numerator)/(co-efficient in denominator).
If power of x in numerator is greater than the power of x in denominator, then there will be no horizontal asymptote.
In above case, 0 < 1, therefore, the horizontal asymptote is y =
If jack sells 3 subscriptions in an hour and sue sells 5 subscriptions in an hour they will both earn $18 per hour
3.
Let the points be A, B & C.
The three distinct segments are AB, BC & AC.
Answer:
6x, 2x + 4, 5y + 11
Step-by-step explanation:
x + x + x + 2x + x = 6x
(x + 2) + (x + 2) = 2x + 4
y + y + y + y + 10 + y + 1 = 5y + 11
Answer:
x ≈ 61.3
Step-by-step explanation:
Using the Sine rule, that is
=
( cross- multiply )
5.8 × sinx = 6 × sin58° ( divide both sides by 5.8 )
sin x =
≈ 0.87729, thus
x =
(0.87729) ≈ 61.3