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2 years ago

Which expression is equivalent to the following complex fraction?

Mathematics

2 answers:

bulgar [2K]2 years ago

7 0

Solving the fraction $(\frac{-2}{x}+\frac{5}{y})\div (\frac{3}{y}-\frac{2}{x})$ we get $=(\frac{-2y+5x}{3x-2y})$

So, Option A is correct answer.

Step-by-step explanation:

We need to solve the complex fraction: StartFraction negative 2 Over x EndFraction + StartFraction 5 Over y EndFraction divided by StartFraction 3 Over y EndFraction minus StartFraction 2 Over x EndFraction

Writing in mathematical form:

$(\frac{-2}{x}+\frac{5}{y})\div (\frac{3}{y}-\frac{2}{x})$

Solving the fraction:

$(\frac{-2}{x}+\frac{5}{y})\div (\frac{3}{y}-\frac{2}{x})\\Taking\,\,LCM\\=(\frac{-2y+5x}{xy})\div (\frac{3x-2y}{yx})\\Converting\,\,\div \,\,into\,\,multiplication\\=(\frac{-2y+5x}{xy})\times (\frac{yx}{3x-2y})\\Canceling\,\,like\,\,terms:\\=(\frac{-2y+5x}{3x-2y})$

So, solving the fraction $(\frac{-2}{x}+\frac{5}{y})\div (\frac{3}{y}-\frac{2}{x})$ we get $=(\frac{-2y+5x}{3x-2y})$

In words the answer will be: StartFraction negative 2 y + 5 x Over 3 x minus 2 y EndFraction

So, Option A is correct answer.

Keywords: Fractions

Learn more about fractions at:

#learnwithBrainly

marta [7]2 years ago

3 0

Answer:

the answer is C

please dont choose B i did that an got it wrong so dont do the same mistake

Step-by-step explanation:

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Tom [10]

1) the form of the equation may be written as y = A(X - Xo)(X - X1)

Where Xo and X1 are the two roots of the equation.

2) We can fix the system of coordinates so that the vertex is in the middle of the gate => Xo = - 40 and X1 = +40

=> y = A (X + 40) (X - 40) = A (X^2 - 1600)

3) The height, at X = 0 is 25

=> A(0 - 1600) = 25

=> -1600A = 25 => A = -25 / 1600 = - 1/64

4) The equation is y = - [1/64] (X^2 - 1600)

5) You can present it in different equivalent forms.

Some of those other forms are:

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4 0

2 years ago

The quotient of 15 and a number is 1 over 3 written as an equation

Agata [3.3K]

Answer:

15/x=1/3

Step-by-step explanation:

The quotient of 15 and a number=15/x=1/3

15/x=1/3

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2 years ago

How many solutions does the following equation have? 60z+50-97z=-37z+4960z+50−97z=−37z+49

Tpy6a [65]

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8 0

2 years ago

Data sets A and B are dependent. Find sd.Assume that the paired data came from a population that is normally distributed.A. 1.73

marusya05 [52]

Complete question :

A : 2.7, 3.7, 5.6, 2.6, 2.7

B : 5.1, 4.0, 3.9, 3.8, 5.2

Data sets A and B are dependent. Find sd.Assume that the paired data came from a population that is normally distributed.A. 1.73B. 1.21C. 1.32D. 1.89

Answer: A.1.73

Step-by-step explanation:

Given the data:

A : 2.7, 3.7, 5.6, 2.6, 2.7

B : 5.1, 4.0, 3.9, 3.8, 5.2

Difference betweenA and B (A - B) :

Xd = (A - B) = - 2.4, -0.3, 1.7, - 1.2, - 2.5

Sum of (A - B) = Σ Xd = (-2.4 + (-0.3) + 1.7 + (-1.2) + (-2.5) = - 4. 7

Md = ΣXd / n = - 4.7 / 5 = - 0.94

Xd - Md = (-2.4 + 0.94), (-0.3 + 0.94), (1.7 + 0.94), (-1.2 + 0.94), (-2.5 + 0.94)

(Xd - Md) = - 1.46, 0.64, 2.64, - 0.26, - 1.56

(Xd - Md)^2 = (-1.46)^2 + 0.64^2 + 2.64^2 + (-0.26)^2 + (-1.56)^2

Σ(Xd - Md)^2 = (2.1316 + 0.4096 + 6.9696 + 0.0676 + 2.4336) = 12.012

Standard deviation = √[Σ(Xd - Md)^2 / (n-1)]

Standard deviation= √12.012 / 4

Standard deviation = 1.7329

Standard deviation= 1.73

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Liula [17]

The answer to this question is 2

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2 years ago