M: cost per hour
b: initial charge fee
x: hours (h)
To make both company to charge the same amount:
12x+376=15x+280
376-280=15x-12x
96=3x
X=32
So it took 32 hour to 2 company charge the same amount.
The cost gonna be: 12.(32)+376=760$
The total cost for video rental, f(n), is the sum of the membership fee and the cost of renting video game. The latter is the product of cost per video game times n video games. The correct equation used to represent the total cost is,
f(n) = 20 + 2n
Since the membership is increased by 15, the new equation is,
f(n) = 35 + 2n
So for the last problem draw out the problem
Using Union function of set theory, we get the answer as
A∪B= {3,4,6,8,9,12,15,16,20,21}.
What is Union function?
- The set containing all the elements in a collection of sets is referred to as the union (denoted by ) in set theory. This was one of the core elements that allows sets to be joined together and connected to one another.
- A union of zero A∪B sets is referred to as a nullary union, which is by definition equivalent to the empty set.
- The set containing items in A, B, or both A and B is the union of the two sets A and B.
- In set-builder notation, "displaystyle A" means "∪" and "B" means "x"
- A∪B equals x: x in A's text or x in B's.
Using Union function of set theory, we get the answer as
A∪B= {3,4,6,8,9,12,15,16,20,21}.
Learn more about union function here:
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