Find the zeros, vertical asymptote, horizontal asymptote, slant asymptote, and graphing points.
1 answer:
First, simplify fraction
(x+4)/((x-2)(x+3))
good
set numerator to zero
x+4=0
x=-4
VA
set denom to zero
(x-2)(x+3)=0
VA's at x=-3 and x=2
HA
for p(x)/q(x)
degreee of p(x)<q(x)
HA=0
no slant asymtote
does it cross HA?
0=(x+4)/(x^2+x-6)
0=x+4
-4=x
it crosses at (-4,0)
to graph
plot point (-4,0)
draw assymtotes
y=0
x=2
x=-3
go from top left to middle botttom to top right
reverse 'L' on top left going through (-4,0)
upside down 'U' at middle
'L' at right top
(x+4)/((x-2)(x+3))
good
set numerator to zero
x+4=0
x=-4
VA
set denom to zero
(x-2)(x+3)=0
VA's at x=-3 and x=2
HA
for p(x)/q(x)
degreee of p(x)<q(x)
HA=0
no slant asymtote
does it cross HA?
0=(x+4)/(x^2+x-6)
0=x+4
-4=x
it crosses at (-4,0)
to graph
plot point (-4,0)
draw assymtotes
y=0
x=2
x=-3
go from top left to middle botttom to top right
reverse 'L' on top left going through (-4,0)
upside down 'U' at middle
'L' at right top
You might be interested in
Answer:
0.6603 = 66.03% probability that it will be sent with the ABC Speedy Delivery Company and arrive on time.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
In which
P(B|A) is the probability of event B happening, given that A happened.
is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Sent by ABC Speedy Delivery Service.
Event B: Arrived on time.
The probability that any given parcel will be sent by the ABC Speedy Delivery Service is 0.71.
This means that
The probability that the parcel will arrive on time given the ABC Speedy Delivery Company was used is 0.93.
This means that
Find the probability that it will be sent with the ABC Speedy Delivery Company and arrive on time.
This is . So
0.6603 = 66.03% probability that it will be sent with the ABC Speedy Delivery Company and arrive on time.