Answer:
The required polynomial is 
.
Step-by-step explanation:
If a polynomial has degree n and 
are zeroes of the polynomial, then the polynomial is defined as
It is given that the polynomial R has degree 4 and zeros 3 − 3i and 2. The multiplicity of zero 2 is 2.
According to complex conjugate theorem, if a+ib is zero of a polynomial, then its conjugate a-ib is also a zero of that polynomial.
Since 3-3i is zero, therefore 3+3i is also a zero.
Total zeroes of the polynomial are 4, i.e., 3-3i, 3_3i, 2,2. Let a=1, So, the required polynomial is
![[a^2-b^2=(a-b)(a+b)]](https://tex.z-dn.net/?f=%5Ba%5E2-b%5E2%3D%28a-b%29%28a%2Bb%29%5D)
![[i^2=-1]](https://tex.z-dn.net/?f=%5Bi%5E2%3D-1%5D)
Therefore the required polynomial is .
Answer:
Dependent variable: Memory
Independent variable: Position
Step-by-step explanation:
We are given the following in the question:
Dr. Graham was curious as to whether memory is affected by position during study.
He wants to check the effect of position(either laying down on a bed or sitting up at a desk) effects the memory(list of 50 words).
Dependent and independent variable:
- Dependent variable is affected by the changes in the independent variable.
- Dependent variable are also known as response variable.
- Independent variables are the free variables.
For the given study
Dependent variable:
Memory that is determined by the recalling power of list of 50 words.
Independent variable:
Position that is either laying down on a bed or sitting up at a desk
Answer:
Step-by-step explanation:
y>x+1
Answer:
The first 5 terms of the sequence are 2, 4, 8, 16 and 32.
Step-by-step explanation:
Given:
= 2
= 2
-----------------(i)
To get the first 5 terms of the sequence, substitute in turn, n = 1, 2, 3, 4, 5 into equation (i).
The first term (when n = 1) has been given as:
= 2
The second term (when n = 2) is given as:
= 2
= 2 (but = 2 )
=> = 2(2)
=> = 4
The third term (when n = 3) is given as:
= 2
= 2 (but = 4 )
=> = 2(4)
=> = 8
The fourth term (when n = 4) is given as:
= 2
= 2 (but = 8 )
=> = 2(8)
=> = 16
The fifth term (when n = 5) is given as:
= 2
= 2 (but = 16 )
=> = 2(16)
=> = 32
Therefore, the first 5 terms of the sequence are 2, 4, 8, 16 and 32.
Answer:
(-6,-2)
Step-by-step explanation:
the solution is -6,-2 because y comes before x, and the line crosses in the negative axis.
I think that was what you were asking. I hope.
