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3 years ago

What should be added to x2 +xy+y2 to obtain 3x2 - 4xy - y2

Mathematics

1 answer:

Alex787 [66]3 years ago

4 0

Answer:

2x² - 5xy - 2y²

Step-by-step explanation:

Subtract x² + xy + y² from 3x² - 4xy - y² to obtain the expression to be added

3x² - 4xy - y² - (x² + xy + y² ) ← distribute by - 1

=3x² - 4xy - y² - x² - xy - y² ← collect like terms

= 2x² - 5xy - 2y²

Thus

adding 2x² - 5xy - 2y² to x² + xy + y² gives 3x² - 4xy - y²

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Which equations represent functions? 2x+3y=10. 4x=16. 2x - 3 =14. 3y=18. 14.6=2x

Vlad [161]

2x + 3y = 10 -> y = -2/3x + 10/3 it's a function

4x = 16 -> x =4 it's not a function

2x - 3 = 14 -> x = 8.5 it's not a function

3y = 18 -> y = 6 it's a function

2x = 6 -> x = 3 it's not a function

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3 years ago

Rodney is given two linear equations: x – y = 11 and 2x + y = 19. What value of x should he get as a solution for this system of

antiseptic1488 [7]

The solution to the answer is as follows:

<span>x - y = 1...[1],

2x + y = 19...[2], {[1]+[2]}---> 3x = 30,

ie., x = 10. C is correct answer.
</span>
I hope my answer has come to your help. God bless and have a nice day ahead!

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3 years ago

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EastWind [94]

Answer:

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Step-by-step explanation:

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3 years ago

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Select two polynomials that have a sum of 16n^3+13n^2+7n-10 A. 8n^3 - 5n +11n^2 - 5 B. 7n^2 + 8n - n^3 + 2 C. 15n^2 - 10n + 3n^3

andreyandreev [35.5K]

Answer:

Step-by-step explanation:

We have the polynomial

$16n^3+13n^2+7n-10$ ( 1 )

To solve this problem we have to take into account that only we can sum term with the same order in the variable. We have the polynomials

$8n_{3}-5n+11n^{2}-5\\7n^2 + 8n - n^3 + 2\\15n^2 - 10n + 3n^3 - 4\\2n^2 + 12n - 5 + 8n^3$

we can note (by summing term by term) that only the sum of the first and the fourth equation correspond to the given polynomial ( 1 ) of the problem. If we organize these polynomials (that is, write the equation down in a form where higher order appears first ) we have

$8n^3 +11n^2 - 5n - 5\\ 8n^3+2n^2 + 12n - 5\\$

and if we sum we obtain

$16n^3+13n^2+7n-10$

that is what we was looking for

I hope this is useful for you

regards

7 0

3 years ago

1. There are 12 cans of cat food in 1/2 of a case. At this rate, how many

lubasha [3.4K]

Answer:

84 cans

Step-by-step explanation:

0.5 case = 12 cans

1 case = 24 cans

3 cases = 72 cans

3 + 0.5 = 3.5 cases

72 cans + 12 cans

=84 cans

3 0

3 years ago

What should be added to x2 +xy+y2 to obtain 3x2 - 4xy - y2​

What should be added to x2 +xy+y2 to obtain 3x2 - 4xy - y2