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Ghella [55]
3 years ago
7

Classify -6x5 + 4x3 + 3x2 + 11 by degree.

Mathematics
1 answer:
LenaWriter [7]3 years ago
4 0

Answer:

This is a 5th degree single variable polynomial.

Step-by-step explanation:

We have to classify the given polynomial - 6 x^{5} + 4x^{3} + 3x^{2} + 11 by degree.

This is a 5th-degree single variable polynomial. (Answer)

Note :

(i) ax + b is the general form of a single degree i.e. linear single variable polynomial.

(ii) cx² + dx + e is the general form of two degrees i.e. quadratic single variable polynomial.

(iii) px³ + qx² + rx + s is the general form of three degrees i.e. cubic single variable polynomial.

In this way, the degree of a polynomial increases with the maximum power of the variable.

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solution:

a score of 92 has z score of

z=\frac{x-μ}{σ}=\frac{92-71}{5}=1.40

a score of 688 has z score of

z=\frac{x-μ}{σ}=\frac{688-493}{150}=1.30

a score of 92 is better because its z score is higher

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Let v be an eigenvector of a matrix A with a corresponding eigenvalue ?=2. Find one solution x of the system Ax=v.
Murljashka [212]

Answer with explanation:

For, a Matrix A , having eigenvector 'v' has eigenvalue =2

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It has one eigenvalue it means it is of order , 1×1.

→A=[a]

Determinant [a-k I]=0, where k is eigenvalue of the given matrix.

It is given that,

k=2

For, k=2, the matrix [a-2 I] will become singular,that is

→ Determinant |a-2 I|=0

→I=[1]

→a=2

Let , v be the corresponding eigenvector of the given eigenvalue.

→[a-I] v=0

→[2-1] v=[0]

→[v]=[0]

→v=0

Now, corresponding eigenvector(v), when eigenvalue is 2 =0

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→[2] x=0

→[2 x] =[0]

→x=0, is one solution of the system.

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An artists builds a sculpture out of metal and wood that weighs 14.9 kilograms.3/4 of this weight is metal,and the rest is wood.
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Given is a sculpture that is built up of metal and wood, and the weight of this sculpture is 14.9 kilograms.

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We can find the weight of metal part and then subtract it from the total weight to calculate the answer.

Total weight = 14.9 kilograms.

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Wooden part = 14.9 - 11.175 = 3.725 kilograms.

Hence, the wooden part is 3.725 kilograms.

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