A square has a side of 8cm. The area of the square increases by 50%. Work out the percentage increase in the length of the side.
1 answer:
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Answer: An integer added to an integer is an integer, this statement is always true. A polynomial subtracted from a polynomial is a polynomial, this statement is always true. A polynomial divided by a polynomial is a polynomial, this statement is sometimes true. A polynomial multiplied by a polynomial is a polynomial, this statement is always true.
Explanation:
1)
The closure property of integer states that the addition, subtraction and multiplication is integers is always an integer.
If , then a+b\in Z.
Therefore, an integer added to an integer is an integer, this statement is always true.
2)
A polynomial is in the form of,
Where are constant coefficient.
When we subtract the two polynomial then the resultant is also a polynomial form.
Therefore, a polynomial subtracted from a polynomial is a polynomial, this statement is always true.
3)
If a polynomial divided by a polynomial then it may or may not be a polynomial.
If the degree of numerator polynomial is higher than the degree of denominator polynomial then it may be a polynomial.
For example:
Then , which a polynomial.
If the degree of numerator polynomial is less than the degree of denominator polynomial then it is a rational function.
For example:
Then , which a not a polynomial.
Therefore, a polynomial divided by a polynomial is a polynomial, this statement is sometimes true.
4)
As we know a polynomial is in the form of,
Where are constant coefficient.
When we multiply the two polynomial, the degree of the resultand function is addition of degree of both polyminals and the resultant is also a polynomial form.
Therefore, a polynomial subtracted from a polynomial is a polynomial, this statement is always true.
Answer:
The maximum number of text message John can send is 100
Step-by-step explanation:
Given as :
The phone bill of the John = $ 10 per month + $ 0.3 per text message
John want his bill amount to be less than $ 40
Let The maximum number of text message John can send = n
According to question
The total bill amount = The cost of phone plan + rate of text message
I.e $ 10 per month + $ 0.3 × maximum number of text message = $ 40
or, $ 0.3 × n = $ 40 - $ 10
Or, $ 0.3 × n = $ 30
∴ n =
I.e n = 100
So, The maximum number of text message John can send = n = 100
Hence The maximum number of text message John can send is 100 Answer