Y=3x²+3x+1,find the value of the discrimination
1 answer:
Answer:
Step-by-step explanation:
a = 3
b = 3
c = 1
Discriminate = sqrt(b^2 - 4ac)
Discriminate = sqrt(9 - 4*3*1)
Discriminate = sqrt(9 - 12)
Discriminate = sqrt(-3)
What negative value means that there are no real roots and the y intercept = 1. You should always graph this kind of question, which I am doing for you. I use Desmos which is a very handy program.
You should notice that the minimum is above the x axis. That means there are no real roots, just as the discriminate tells you.
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Answer:
The distribution is
Solution:
As per the question:
Total no. of riders = n
Now, suppose the is the time between the departure of the rider i - 1 and i from the cable car.
where
= independent exponential random variable whose rate is
The general form is given by:
(a) Now, the time distribution of the last rider is given as the sum total of the time of each rider:
Now, the sum of the exponential random variable with with rate
is given by:
Answer:
1) 20%
2) Choice a.
Step-by-step explanation:
1) is the population initially.
is the population after a year.
represents the population increase factor.
So let's evaluate that fraction:
0.2=20%
2) Let's figure out the population growth in terms of months instead of years.
We want t to represent months.
A full year is 12 months, in a full year we have that
So we want a new P such that since 12 months equals a year.
Let's look at the functions given to see which gives us this:
a)
b)
c)
d)
So a is the function we want.
Also another way to look at this:
where
is in years.
where
is in months.
And