- y=2x²+6x+1
- y=-4x²+1
Make the equations equal and solve for x
- 2x²+6x+1=-4x²+1
- 6x²+6x=0
- 6x(x+1)=0
- 6x=0 or x+1=0
- x=0 or x=-1
For x=0
- y=-4(0)+1=1
For x=-1
- y=-4(1)+1=-3
The solutions are
- (0,1) and (-1,-3)
Graph attached
(b) Solve for d. Show each step for full credit. Circle your final answer.
1 answer:
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Answer:
$7.25
Step-by-step explanation:
Total amount spent on the ticket = $40.75
Number of ticket purchased = 5
Processing fee per ticket = $0.90
Unknown:
Cost of each ticket = ?
Solution:
To solve this problem, we need to find the processing fee for the 5 tickets purchase;
Processing fee = number ticket x processing fee per ticket
Processing fee = 5 x 0.9 = $4.5
Now, the real cost a ticket = $40.75 - $4.5 = $36.25
So, cost per ticket is;
Cost = = $7.25
Answer:
We have been given a unit circle which is cut at k different points to produce k different arcs. Now we can see firstly that the sum of lengths of all k arks is equal to the circumference:
Now consider the largest arc to have length \small l . And we represent all the other arcs to be some constant times this length.
we get :
where C(i) is a constant coefficient obviously between 0 and 1.
All that I want to say by using this step is that after we choose the largest length (or any length for that matter) the other fractions appear according to the above summation constraint. [This step may even be avoided depending on how much precaution you wanna take when deriving a relation.]
So since there is no bias, and \small l may come out to be any value from [0 , 2π] with equal probability, the expected value is then defined as just the average value of all the samples.
We already know the sum so it is easy to compute the average :