Answer:
Vertex: (3,0)
Max/min: min
axis of symmetry: x=3
Domain: (-∞,∞)
Range: [3,∞)
zeroes: (3,0)
Step-by-step explanation:
Vertex is where the graph changes directions (so in this case it's the point where it changes from decreasing to increasing) which I think is (3,0)
It's a minimum because the coefficent for the degree is positive
The axis of symmetry is just the x value of the vertex (which is x= 3)
the domain is all possible x values (-∞,∞)
The range is all possible y values [3,∞)
The zeroes is where the line hits the x axis, which is (3,0)
Answer:
Step-by-step explanation:
Given that:
X(t) = be the number of customers that have arrived up to time t.
... = the successive arrival times of the customers.
(a)
Then; we can Determine the conditional mean E[W1|X(t)=2] as follows;
Now 
(b) We can Determine the conditional mean E[W3|X(t)=5] as follows;
Now; 
(c) Determine the conditional probability density function for W2, given that X(t)=5.
So ; the conditional probability density function of 
given that X(t)=5 is:
Okay so I am going to summarize the work out process because its a lot to
Here we go
1/3 (t) + 3/4 - 2/4 - t = ?
1/2 (simplify )
(1/3 (T)+3/4 - 1/2 - (t) = ?
t (2) / 2
1 - 2(t) / 2 = ?
3/4 (simplify this )
1/3(t)+ 3/4 - [1 - 2(t) / 2 = ?
1/3 (this is re last one you have to simplify)
L (Denominator): 3
R (Denominator): 4
L: [L.C.M] : 4
R: [L.C.M] : 3
Basically , we just switched the dominators around
So, Therefore The of t is -3/16
T = -3/16
Answer:
They must rent for less than 7 hours
Step-by-step explanation:
The charge for the room is the fee plus the hourly rate times the hour
f = 33+9.80t
This must be less than 101.60
101.60> 33+9.80t
Subtract 33 from each side
101.60-33> 33-33+9.80t
68.6> 9.80t
Divide each side by 9.8
68.8/9.8 > t
7>t
They must rent for less than 7 hours
