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Daniel [21]
2 years ago
11

Select all the expressions that could represent the volume of a box, which is a fourth degree polynomial in variables x and y.

Mathematics
1 answer:
guajiro [1.7K]2 years ago
7 0

Answer:

(E) 3x^4y^4 - 3x^2y + 17xy^2 -10y

Step-by-step explanation:

A fourth degree polynomial in variables x and y is a polynomial in which the highest power/index of x and y is 4.

We observe the options below for that which satisfies this condition.

Out of the given options,

A. 3x^2y^2 + 6x^2 -7xy - 14x\\B. 10xy + 12x + 2xy^2 -y^2 - 5y - 6\\C. -6 + 7xy + 9x^2 + 2x^3y\\D. 2x^3y + 5x^2y - xy -6y\\E. 3x^4y^4 - 3x^2y + 17xy^2 -10y

The expression that could represent the volume of a box is

3x^4y^4 - 3x^2y + 17xy^2 -10y

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Write an expression for the number of tiles Bruce used and an expression for the number of tiles Felicia used. Use x to represen
Basile [38]

Expression for the number of tiles Bruce used : <u>5x+2</u>

Expression for the number of tiles Felicia used : <u>5x + 5</u>

<h3>Further Explanation  </h3>

One variable linear equation is an equation that has a variable and the exponent number is one.  

Can be stated in the form:  

\large{\boxed{\bold{ax=b}}

or  

ax + b = c, where a, b, and c are constants, x is a variable  

We complete the introduction for the task

Bruce retiled his kitchen. Originally, he bought three boxes of tile with the same number of tiles in each. He ran out of tile and had to go back to get three extra boxes of tile. However, he only used two tiles from the last box to finish the job.

Felicia also retiled her kitchen. She bought five boxes of tile with the same number of tiles that were in each as Bruce’s boxes. She also ran out of tile. She had to go back to the store and get an extra five tiles to finish the job.

We can translate those in to expression of One variable linear equation (x = number of tiles)

  • Bruce

He bought three boxes ⇒ 3x

He only used two tiles from the last box  ⇒ 2x + 2

Total tiles of Bruce used : 3x+2x+2 = 5x+2

  • Felicia

She bought five boxes  ⇒ 5x

She get an extra five tiles to finish the job. ⇒ 5 tiles

Total tiles of Felicia used : 5x+5

<h3>Learn more</h3>

linear equation

brainly.com/question/13101704

Keywords : an expression, linear equation, tiles, box,Bruce,Felicia

#LearnWithBrainly

8 0
1 year ago
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Gemiola [76]

Answer:

Step-by-step explanation:

4 0
1 year ago
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A 4-ounce cup of coffee costs $8.00. How much would a 3-ounce cup of cofee codt?
romanna [79]
To solve this, we must first find out the cost-per-ounce of a cup of coffee. Assuming that the rates are flat, then we can just divide the 8-dollar-cost by the 4-ounce cup that it buys.

8 / 4 = 2

The cost-per-ounce of a cup of coffee is $2.
Now, we just have to multiply the cost-per-ounce by the amount of coffee we want to find out the cost of.

2 * 3 = 6

With all else constant, a 3-ounce cup of coffee would cost $6.
Hope that helped! =)
5 0
1 year ago
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Which expression is equivalent to ( xy -6)2 for all values of x and y where the expression is defined?
hichkok12 [17]

Answer:

 ( x y -6)²  =  x² y² - 12 xy + 36            

Step-by-step explanation:

<u><em>Explanation:-</em></u>

Given that the expression ( x y -6)²

Apply formula (a-b)² = a² -2ab + b²

( x y -6)² = (xy)² - 2 × xy× 6 + (6)²

             = x² y² - 12 xy + 36

( x y -6)²  =  x² y² - 12 xy + 36            

4 0
1 year ago
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Half the product of two numbers a and b, added to thrice a third number c
Alexus [3.1K]
Answer:

ab/2 + 2c

Step-by-step explanation:

Half the product would be represented by “product/2”

The product of two numbers a and b can be represented by “ab”

Added to twice a third number c = + 2c

8 0
1 year ago
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