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inn [45]
3 years ago
15

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

Mathematics
2 answers:
Vanyuwa [196]3 years ago
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]3 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.
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The value of Adam's model railway is $550.
garik1379 [7]

Answer:(c)

Step-by-step explanation:

Given

The initial value of Adam's model is A_o=\$550

the value increases exponentially with the rate of r\%

Time period t=5\ years

Final amount A=\$736

Exponential growth is given by

\Rightarrow A=A_o(1+r)^t

Putting values

\Rightarrow 736=550(1+r)^5\\\\\Rightarrow (1+r)^5=1.338

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6 0
2 years ago
It takes 45 minutes to drive to the nearest bowling alley taking city streets going 30 miles per hour
zmey [24]

Answer:

The time it will take to get to the bowling alley while driving at 65 mph on the freeway is approximately 20.8 minutes

Step-by-step explanation:

The given parameters are;

The time it takes through the streets to drive to the nearest bowling alley = 45 minutes

The speed of driving through the streets = 30 miles per hour (mph)

The speed of driving through the freeway to the bowling alley = 65 mph

From the speed of driving through the streets and the time taken we have;

The formula for speed, S, is S = Distance/Time

Therefore, 30 mph = Distance/45 minutes

Where, 1 hour = 60 minutes, 45 minutes = 1/60×45 hour = 3/4 hour

30 mph = Distance/45 minutes = Distance/(3/4 hour)

30 mph = Distance/(3/4 hour)

Distance = 30 mph × 3/4 hour = 22.5 miles

Given that the distance through the freeway and through the streets are the same, we have from speed = Distance/Time;

Time = Distance/Speed

The speed through the freeway = 65 mph while the distance remain 22.5 miles

Therefore;

Time = 22.5 miles/(65 mph) ≈ 0.346 hour ≈ 20.8 minutes

The time it will take to get to the bowling alley while driving at 65 mph on the freeway is approximately 20.8 minutes.

8 0
3 years ago
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