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3 years ago

What is the greatest common factor of 72x2y and 18xy? A. 9x B. 9xy C. 18x D. 18xy

Mathematics

1 answer:

Alchen [17]3 years ago

7 0

Answer:

18xy

Step-by-step explanation:

<u>Given:</u>

72x²y and 18xy

Greatest common factor = ?

GCF is the highest number (or expression) that divides exactly into two or more numbers (or expressions)

<u>Let's find the factors first:</u>

72x²y = 4x*18xy
18xy

We can see the second expression 18xy is the factor of the first expression

Therefore, the 18xy is dividing foth of the expressions, so it is the GCF

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State the domain of 1b, then determine the equation of any vertical asymptotes and/or coordinates of any holes in the graph of t

Katena32 [7]

We have

$f(x)=\frac{2x^2+x}{x^2-5x+6}$

First we will factorize the function

$f(x)=\frac{x(2x+1)}{\mleft(x-2\mright)(x-3)}$

The domain is

$\: \mleft(-\infty\: ,\: 2\mright)\cup\mleft(2,\: 3\mright)\cup\mleft(3,\: \infty\: \mright)$

In this case, we have two vertical asymptotes

x-2=0

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x-3=0

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ANSWER

The domain is

$\: \mleft(-\infty\: ,\: 2\mright)\cup\mleft(2,\: 3\mright)\cup\mleft(3,\: \infty\: \mright)$

The vertical asymtotes

x-2=0

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x-3=0

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1 year ago

(select ALL of the correct answers)

In-s [12.5K]

Answer:

the answer is C,2^6×3^3

Step-by-step explanation:

6^3×2^6/2^3

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=6^3×2^3

=2^6×2^3

8 0

3 years ago

A cubic box is completely filled with 2,179 g of water. What is the length of one side of the box, in meters? m Explain your rea

Mazyrski [523]

Answer:

$l\approx 1.296\,cm$

Step-by-step explanation:

The water density is approximately 1 gram per cubic centimeter, which means that 1 gram of water occupies a volume of a cubic centimeter. Hence, 2.179 grams occupies a volume of 2.179 cubic centimeters.

Let assume volume occupied by the water has a cube-like shape, whose side has the following measure:

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3 years ago

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Tatiana [17]

Answer:

(x,y) = (-36,6)

Step-by-step explanation:

-6y=x

x+y=-30

x=-6y,

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y=6

x=-36

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8 0

3 years ago

If a rectangular. Prism. Has 5cm. 10cm on one side and 4cm on the. Other. What is the volume of the rectangle?

emmasim [6.3K]

Answer: $200\ cm^3$

Step-by-step explanation:

Given

The dimension of the rectangular prism is

$l=5\ cm\\w=10\ cm\\h=4\ cm$

The volume of the prism is given by $V=l\times w\times h$

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Therefore, the volume of the prism is $200\ cm^3$ .

7 0

3 years ago