Is the relation a function? Why or why not?
1 answer:
You might be interested in
Answer:
There are 685464 ways of selecting the 5-card hand
Step-by-step explanation:
Since the hand has 5 cards and there should be at least 1 card for each suit, then there should be 3 suits that appear once in the hand, and one suit that apperas twice.
In order to create a possible hand, first we select the suit that will appear twice. There are 4 possibilities for this. For that suit, we select the 2 cards that appear with the respective suit. Since there are 13 cards for each suit, then we have possibilities. Then we pick one card of all remaining 3 suits. We have 13 ways to pick a card in each case.
This gives us a total of 4*78*13³ = 685464 possibilities to select the hand.
The question is an illustration of a system of linear equations.
- The system of linear equations is:
and
- The solution to the equation is (25,500)
Let the number of miles be x.
<u>Getting trained and licensed</u>
- One time cost: $450
- Gas and Insurance: $2 per mile
So, the equation is:
<u>Delivery</u>
- First delivery: $350
- Rate: $6 per mile
So, the equation is:
Hence, the system of linear equations is:
and
To solve the equation, we equate both, as follows:
Collect like terms
Divide both sides by 4
Substitute 25 for x in
Hence, the solution to the equation is (25,500)
Read more about linear equations at: