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Alexandra [31]
3 years ago
5

Please help! I will mark as brainliest. <3

Mathematics
1 answer:
DIA [1.3K]3 years ago
5 0

Answer:

185 greater than or equal to 53x

Step-by-step explanation:

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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
Olive reads 4 books every month for school. How many books does she read in 8 months?
Novosadov [1.4K]

Answer:

32 books.

Step-by-step explanation:

What do we know?

As Olive continues this pattern, this will involve multiplication.

4 books per month and 8 months.

4*8=32 books.

So, Olive will read 32 books within 8 months.

6 0
3 years ago
One canned juice drink is 20% orange juice; another is 10% orange juice l. How many liters of each should be mixed together in o
Anni [7]

Answer:

There is not enough information to answer, you did not say measurements of both drinks.

Step-by-step explanation:

8 0
3 years ago
What does rotation summery means in your own words?
sashaice [31]

Rotational symmetry is when an object looks the same when rotated around its center by an angle not equal to 0° (0) or any multiple of 360° (2π).

4 0
3 years ago
Braydon is mixing cement for a large patio.
kakasveta [241]
I believe 15 would be the correct answer
4 0
3 years ago
Read 2 more answers
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