From what I got there is one real solution :)
Rearrange the second equation to give y=2-2x, substitute into the first equation to give you a value for x and then using that you can work out y for the exact coordinates of intersection :)
Also they are both straight line graphs so they will either have one or no solutions
Hope this helped :)
Answer:
35.35%
Step-by-step explanation:
If there were no deductibles, the expected claim payment would be:

If the collision insurance claim is under $2,000, then the insurer would not pay anything, but if X > $2,000, then the insurer would pay X - $2,000. The new expected value is:

The percentage reduction on the claim payment is:

There was a 35.35% reduction.
The problem is asking how much each person will need to pay. Simplifying the problem into an equation with variables (an algorithm) will greatly help you solve it:
S = Sales Tax = $ 7.18 per any purchase
A = Admission Ticket = $ 22.50 entry price for one person (no tax applied)
F = Food = $ 35.50 purchases for two people
We know the cost for one person was: (22.50) + [(35.50/2) + 7.18] =
$ 47.43 per person. Now we can check each method and see which one is the correct algorithm:
Method A)
[2A + (F + 2S)] / 2 = [ (2)(22.50) + [35.50 + (2)(7.18)] ]/ 2 = $47.43
Method A is the correct answer
Method B)
[(2A + (1/2)F + 2S) /2 = [(2)(22.50) + 35.50(1/2) + (2)7.18] / 2 = $38.55
Wrong answer. This method is incorrect because the tax for both tickets bought are not being used in the equation.
Method C)
[(A + F) / 2 ]+ S = [(22.50 + 35.50) / 2 ] + 7.18 = $35.93
Wrong answer. Incorrect Method. The food cost is being reduced to the cost of one person but admission price is set for two people.
Answer:
Step-by-step explanation:
x+165 = 180
x = 180 - 165
x = 15
Answer:
6.64 seconds
Step-by-step explanation:
Given that:
Distance between roof of the terminal and ground = 709 feet
A bucket was dropped from the roof.
To find:
The time taken by the bucket to hit the ground?
Solution:
Distance traveled,
= 709 feet
Initial velocity of the bucket,
= 0 feet/sec (because initially it was at rest)
Acceleration of the bucket will be equal to acceleration due to gravity i.e.
or 32.1741 
Let the time taken is
seconds.
Formula for distance is given as:

Putting all the values:
