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Rom4ik [11]
2 years ago
5

Which of the following systems is best suited for solving with the substitution method?

Mathematics
1 answer:
Agata [3.3K]2 years ago
3 0

answer ...

to halp you and thank you

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Test the set of polynomials for linear independence. If it is linearly dependent, express one of the polynomials as a linear com
aliina [53]

Answer:

The set of polynomial  is Linearly Independent.

Step-by-step explanation:

Given - {f(x) =7 + x, g(x) = 7 +x^2, h(x)=7 - x + x^2} in P^2

To find - Test the set of polynomials for linear independence.

Definition used -

A set of n vectors of length n is linearly independent if the matrix with these vectors as columns has a non-zero determinant.

The set is dependent if the determinant is zero.

Solution -

Given that,

f(x) =7 + x,

g(x) = 7 +x^2,

h(x)=7 - x + x^2

Now,

We can also write them as

f(x) = 7 + 1.x + 0.x²

g(x) = 7 + 0.x + 1.x²

h(x) = 7 - 1.x + 1.x²

Now,

The coefficient matrix becomes

A = \left[\begin{array}{ccc}7&1&0\\7&0&1\\7&-1&1\end{array}\right]

Now,

Det(A) = 7(0 + 1) - 1(7 - 7) + 0

           = 7(1) - 1(0)

           = 7 - 0 = 7

⇒Det(A) = 7 ≠ 0

As the determinant is non- zero ,

So, The set of polynomial  is Linearly Independent.

5 0
2 years ago
The diameter of a circle is 17 cm. Find the circumference to the nearest tenth.
Gnoma [55]

Answer: C≈53.41cm

If rounded the answer is C=50.00

HOPE THIS HELPS

6 0
2 years ago
Find the slope of the line that passes through the pair of points. <br><br> (1, 7), (10, 1)
horrorfan [7]

this is how I solve it

6 0
3 years ago
Read 2 more answers
What is the domain for f(x) =26-2x?
anastassius [24]
Domain of f = R .............
7 0
2 years ago
Which expression is not equivalent to 6^3/6^6?<br><br> a: 1/6^2<br><br> or<br><br> b: 1/6^3
Angelina_Jolie [31]

Answer:

<h2>A. 1/6^2</h2>

Step-by-step explanation:

6^3/6^6 = 1/216

1/6^2 = 1/36 ≠ 1/216

1/6^3 = 1/216

7 0
3 years ago
Read 2 more answers
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