Answer:
The set of polynomial is linearly independent
Explanations:
For clarity and easiness of expression, the complete solution is handwritten in the file attached. However, the following are the steps taken:
1) The coordinate vectors of the polynomials are formed as:
(1,0,6,-1), (0,1,02) and (1,1,6,0)
2) A matrix is formed using the coordinates of the polynomials as the columns of the matrix
3) The polynomial formed is row reduced to form an echelon matrix.
4) As seen from the reduced echelon form of the matrix, the rank of the matrix = 3
5) since the rank = number of polynomials = 3, the set of polynomials is linearly independent.
Answer:
<em>Value</em><em> </em><em>of</em><em> </em><em>p</em><em> </em><em>is</em><em> </em><em>14</em>
Step-by-step explanation:

<em>HAVE A NICE DAY</em><em>!</em>
<em>THANKS FOR GIVING ME THE OPPORTUNITY</em><em> </em><em>TO ANSWER YOUR QUESTION</em><em>. </em>
Answer:
6 4/7
Step-by-step explanation:
Convert any whole numbers to mixed numbers

Use fractions formula


Count how many times 276 goes into 42 <em>evenly</em>
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Answer:
In an arithmetic sequence, the difference between any two consecutive terms must always be the same number, which is known as the common difference.
So we just need to take different pairs of consecutive terms and see if their difference is always the same:
1) The differences are:
32 - 35 = -3
29 - 32 = -3
26 - 29 = -3
So yes, this is an arithmetic sequence and the common difference is -3
2) The differences are:
-23 - (-3) = -20
-43 - (-23) = -20
-63 - (-43) = -20
This is an arithmetic sequence, and the common difference is -20
3) The differences are:
-64 -(-34) = -30
-94 -(-64) = -30
-124 -(-94) = -30
This is an arithmetic sequence and the common difference is -30
4) The differences are:
-40 -(-30) = -10
-50 - (-40) = -10
-60 - (-50) = -10
This is an arithmetic sequence and the common difference is -10
5) The differences are:
-9 - (-7) = -2
-11 - (-9) = -2
-13 - (-11) = -2
This is an arithmetic sequence, and the common difference is -2
6) The differences are:
14 - 9 = 5
19 - 14 = 5
24 - 19 = 5
This is an arithmetic sequence, and the common difference is 5.
Answer:
Second Option
Step-by-step explanation:
A constant function is one for which the range does not change regardless of the value of the domain.

Where m is a constant.
The constant functions are horizontal lines parallel to the axis of the x
Note that
is not a constant function because the value of y changes when x changes.
x = 1, y = 1
x = 2 y = 2
is not a constant function because the range of the function is not constant.
is a vertical line
is a constant function, since for any of the value of x, the value of y will always be 5