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2 years ago

What is the least common denominator of 4/x * -4/2x^2?

2 answers:

6 0

The least common denominator would be 2x^2
that is because you would have to multiply the first fraction by 2x
but you can't just somehow simplify 2x^2, it wouldn't be right
4/x * -4/2x^2
2x*4/(2x*x) * -4/2x^2
8x /2x^2 * -4/2x^2
Then you would complete it

Hope this helps :)

Illusion [34]2 years ago

5 0

Answer: 2x^2

Justification:

First we must make the expressions clear.

It seems you are asking about the least common denominator of 4/x and - 4/ (2x^2).

I will not simpligy the second denominator and will find the least common denominator of x and 2x^2.

The least common factor is the simplest (smallest) factor that contain all the factors given.

So, the least common denominator of both x and 2x^2 is the simplest monomial that contains them.

To find that least common factor you take the product of:

- least common multiple of the coefficients: in this case the coefficients are 1 and 2, so the least common coefficient is 2.

- the product of the different letter raised to the highest power: in this case the only letter is x and the highest power is 2, so it is x^2

Therefore the lease common denominator is the product of 2 and x^2 which is 2x^2.

You might be interested in

Find the second derivative y= x^2lnx

Dimas [21]

First we use product rule
y=x^2lnx
dy/dx = x^2 d/dx (lnx) + lnx d/dx (x^2)
dy/dx = x^2 (1/x) + lnx (2x)
dy/dx = x + 2xlnx

now taking second derivative:
d2y/dx2 = 1 + 2[x (1/x) + lnx (1)]
d2y/dx2 = 1 + 2[1+lnx]
1+2+2lnx
3+2lnx is the answer

3 0

2 years ago

Which combination of shapes can be used to create the 3-D figure?

liq [111]

Two regular octagons and eight congruent rectangles are perfect for the creation of 3-D figures.

According to the statement

we have to tell and explain about the types of shapes which are required for the creations of 3-D figure.

For this purpose, Firstly we have to know about the 3-D figures.

So,

A shape is a graphical representation of an object or its external boundary and outline, as opposed to other properties such as color, texture, or material type.

A plane shape is constrained to lie on a plane, in contrast to solid 3-D shapes.

After that we know that the

When the all dimensions of a given shape can be observed at the same time, then its is said to be in a 3-D. However, polygons are shapes which has 3 or mores sides. Examples are: trigon, hexagon, octagon etc.

Thus, since the in the 3-D figure have 8 sides connected which is greater than their width.

This confirms that the sides of the figure made up of eight congruent rectangles, because the 3-D figure has eight regular sides. Then, the height of the figure would be the length of the rectangles.

After that all this condition, Two regular octagons and eight congruent rectangles are perfect for the creation of 3-D figures.

Learn more about creation of 3-D figures here

brainly.com/question/326906

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8 0

10 months ago

What is the equation of the line that passes through the point (6,14) and is parallel to the line with the following equation? y

Gekata [30.6K]

Answer:

$y=\displaystyle-\frac{4}{3}x+22$

Step-by-step explanation:

Hi there!

What we need to know:

Linear equations are typically organized in slope-intercept form: $y=mx+b$ where m is the slope and b is the y-intercept
Parallel lines always have the same slope (m)

Determine the slope (m):

$y=\displaystyle-\frac{4}{3}x -1$

The slope of the given line is $\displaystyle-\frac{4}{3}$ , since it is in the place of m in y=mx+b. Because parallel lines always have the same slope, the slope of a parallel line would also be $\displaystyle-\frac{4}{3}$ . Plug this into y=mx+b:

$y=\displaystyle-\frac{4}{3}x+b$

Determine the y-intercept (b):

$y=\displaystyle-\frac{4}{3}x+b$

To find the y-intercept, plug in the given point (6,14) and solve for b:

$14=\displaystyle-\frac{4}{3}(6)+b\\\\14=-8+b\\b=22$

Therefore, the y-intercept of the line is 22. Plug this back into $y=\displaystyle-\frac{4}{3}x+b$ :

$y=\displaystyle-\frac{4}{3}x+22$

I hope this helps!

5 0

2 years ago

Five teachers and five students want to but ice cream from the cafeteria. The cafeteria sells chocolate,strawberry,cotton candy,

matrenka [14]

Answer:

13.75

Step-by-step explanation:

First you know there are 5 students and 5 teachers, for each student it costs 6.25 and for every teacher it cost 1.50. So 5 teachers x 1.50= 7.5. 5 students x 1.25 =6.25. 7.5 +6.25= 13.75

8 0

3 years ago

What is the answer to 5/8 . 2/7 and what does the dot stand for the dot is actually a little higher

Illusion [34]

First, the dot stands for the "product". You have to multiply.

5/8* 2/7
= [5/ (2*4)]* (2/7)
= 5/4* 1/7 (because 2 and 2 cancel out)
= (5*1)/ (4*7)
= 5/28

The final answer is 5/28~

6 0

3 years ago

Read 2 more answers