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4 years ago

Which set of ordered pairs represents a function?

Mathematics

1 answer:

PSYCHO15rus [73]4 years ago

7 0

Your answer would be C im pretty sure

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Determine if the set of polynomials {x^2 –2x+1, 2x² + 3x -4,-x2+x+5) is a linearly independent set in P2. Is it a basis for P? W

WITCHER [35]

Answer with Step-by-step explanation:

We are given that a set of polynomials ${x^2-2x+1,2x^2+3x-4,-x^2+x+5}$

We have to find that given set is a linearly independent set in $P_2$

and given set is a basis for $P_2$ or not.

Matrix of given set of polynomials

A= $\left[\begin{array}{ccc}1&-2&1\\2&3&-4\\-1&1&5\end{array}\right]$

Linearly Independent set :If any row or any column is not a linear combination of other rows or columns then the set is linearly independent set.

Any row or column is not a linear combination of other rows or columns.Therefore, given set is a linearly independent set .

We know that

$P_2=x^2$

Element of $P_2$ is of the form

$ax^2+bx+c$

Every element of $p_2$ is a linear combination of given set of polynomials.

Hence, given set is linearly independent in $p_2$ .

If any set is basis for any vector space then it satisfied the following two conditions

1.Given set is linearly independent.

2.Every element of given vector space spanned by the given set.

Given set of polynomials are linearly independent and spanned every element of $P_2$ .

Therefore, given set is as basis for $p_2$ because the set is linearly independent and spanned $P_2$ .

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3 years ago

A rectangle has a height of x+3 and a width of x+7. what is the area?

stiks02 [169]

Answer:

4x+7

Step-by-step explanation:

6 0

4 years ago

If Mrs.Burks spent 3.87 on grapez at kroger and bought 3.05 pounds,how much was each pound

pashok25 [27]

Answer:

1.26885245902 or rounded to $1.27 per pound.

Step-by-step explanation:

you can just divide 3.87/3.05 to see how much each pound costed. if you needed to round to the nearest cent, you would round up to 1.27.... or if not, keep it at 1.26885245902.

then to check your work, you can just multiply (1.26885245902) by (3.05) to get the total amount she had spent.

4 0

3 years ago

Aaron travels a distance of 680 miles in 8 hours by train. What is the speed of the train?

prohojiy [21]

The answer is 85 miles/hour. Hope it helps! If you could vote me brainiest, that would be awesome, thanks!

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3 years ago

I am a group of 3 digits seperated in a multi digit number

ki77a [65]

173452. I think that is it.

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3 years ago

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