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3 years ago

Explain how to find the degree of a polynomial.

1 answer:

6 0

The degree of a polynomial is the highest number as an exponent in a term, for example, 5x^3+5x^2, 3 is the degree. To find it, you need to either just find the highest number or add up multiple degrees in one term. An example of this is 5x^3y^3+4x^3y^2. Since 3+3=6 and 3+2=5, the first term has the highest degree.

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Lee is staying at a hotel. The cost of the first night is $240. The cost for each night after that is $210. Let y represent the

GenaCL600 [577]

A) The situation represents an arithmetic sequence because the successive y-values have a common difference of 210.

F(1) = 240 +210

F(2) = 240 +2(210)

F(3) = 240+3(210)

F(x)= 240 +210x.

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2 years ago

Thomas reads 2/9 of a book on Monday and 1/6 of it on Tuesday. He reads twice as many pages on Wednesday as on Tuesday. What fra

dezoksy [38]

1/18 is left. Thomas has 1/18 left of his book. How? What denominator can 9&6 relate to? 54? Sure, but it could be lower. How about 18? Ok. We have 18 because 9x2 and 6x3 both equal 18... 2/9 becomes 4/18 because 18 divided by 9 is 2. You multiply 2 with the two from 2/9. 1/6 becomes 3/18 because 18 divided by 6 is 3. You then multiply 3 with the one from 1/6. Put it together and TA-DA... Your answer is 1/18

8 0

4 years ago

I don't understand this

Deffense [45]

Don't understand what?

7 0

3 years ago

Lisa is now six years older than Cheryl. In two years, Lisa will be twice as old as Cheryl. How old is Lisa now?

Elena-2011 [213]

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Define x :
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Let Cheryl be x years old.
Cheryl = x
Lisa = x + 6

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In two years time:
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Cheryl = x + 2
Lisa = x + 8

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Lisa will be twice as old as Cheryl :
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x + 8 = 2(x + 2)

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Solve x :
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x + 8 = 2(x + 2)
x + 8 = 2x + 4
x = 4

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Find their age :
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Cheryl = x = 4
Lisa = x + 6 = 4 + 6 = 10

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Answer: Lisa is 10 years old now.
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4 0

4 years ago

A container built for transatlantic shipping is constructed in the shape of a right rectangular prism. Its dimensions are 7.5 ft

Yuri [45]

Considering the definition of right rectangular prism and its volume, the total weight of the contents is 38.81 pounds.

<h3>Right rectangular prism</h3>

A right rectangular prism (or cuboid) is a polyhedron whose surface is formed by two equal and parallel rectangles called bases and by four lateral faces that are also parallel rectangles and equal two to two.

<h3>Volume of right rectangular prism</h3>

To calculate the volume of the rectangular prism, it is necessary to find the product of its dimensions, or of the three edges that converge at a certain vertex.

That is, to calculate the volume of a rectangular prism, multiply its 3 dimensions: length×width×height.

<h3>Volume of the container </h3>

In this case, you know that:

the dimensions of the container built are 7.5 ft by 11.5 ft by 3 ft.
the container is entirely full and, on average, its contents weigh 0.15 pounds per cubic foot.

So, the volume of the container is calculated as:

7.5 ft× 11.5 ft× 3 ft= <u><em>258.75 ft³</em></u>

Then, the total weight of the contents is calculated as:

258.75 ft³× 0.15 pounds per cubic foot= <u><em>38.8125 pounds≅ 38.81 pounds</em></u>

Finally, the total weight of the contents is 38.81 pounds.

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8 0

3 years ago