Identify the polynomial.
2 answers:
Answer:
The answer is a binomial.
Step-by-step explanation:
In order to determine the answer, we have to know about polynomial.
A polynomial is an mathematical expression where there are different terms. A term is just a variable, representing by a letter, and a coefficient. Terms are different when they have different variable, independent of their coefficients.
When the mathematical expression has just one term, it is called monomial, when it has two terms, it is called binomial, when it has three terms, it is called trinomial.
The polynomial is:
In this case, there are two terms, so the polynomial is a binomial.
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let the number of
- adults be x
- children be y
Total number of people : adults + children
- x + y = 240
- x = 240 - y - [1]
Total money earned from adults :
- 6 × x = 6x
Total money earned from children :
- 2 × y = 2y
Therefore, total money = money earned from each Adult and children.
- 6x + 2y = 1200 -[2]
Now, let's plug the value of x from equation [1] into equation [2]
- 6 (240 - y) + 2y = 1200
- 1440 - 6y + 2y = 1200
- -4y = 1200 - 1440
- -4y = - 240
- y = 60
let's plug the value of y in equation [1]
- x = 240 - y
- x = 240 - 60
- x = 180
Hence, we get :
- total adults = x = 180
- total children = y = 60
Correct option is C
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