You pay $2 to play a game in which you roll one fair die. If you roll a 5 on the first roll, you win $5. If you roll a 1 or a 2,
2 answers:
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Answer:
A. The coefficients of the sum are whole numbers and the sum is a polynomial.
Step-by-step explanation:
The approach to demonstrate the closure property for the sum consists in defining what a polynomial is and demonstrate that the sum of two polynomials with integer coefficients is equal to a polynomial with integer coefficients. We proceed to show the proof below:
1) ,
Given
2) Definition of addition
3) Definition of substraction/Associative and Commutative properties
4) Distributive property/Definition of substraction
5) Definition of addition/Result
Hence, the coefficients of the sum are whole numbers and the sum is a polynomial. The correct answer is A.
Answer:
Option B is correct
Step-by-step explanation:
Given is a cos funciton.
Period = 3
Max = 20 and minimum =0
Hence centre line is y = 1/2 (max+min)
i.e. y =10 is the central line
Let the funciton be of the form
y = a cos (bx+C)+d
We got d = 10...i
Period =3
Hence b = ... ii
Amplitude = a = distance of max from central line = 20-10 =10...iii
Since reflection over x axis, sign of a =negative
a=-10
Since no horizontal shift, c=0 ... iv
Put to gether the function is