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3 years ago

Simplify quantity 6 x plus 9 over 15 x squared all over quantity 16 x minus 12 over 10 x to the fourth power.

Mathematics

2 answers:

mojhsa [17]3 years ago

5 0

I got 5.9988
what did u get

Blababa [14]3 years ago

3 0

Answer:

We have to simplify the expression,quantity 6 x plus 9 over 15 x squared all over quantity 16 x minus 12 over 10 x to the fourth power.

$=\frac{\frac{6 x+9}{15x^2}}{\frac{16 x-12}{10 x^4}}\\\\=\frac{6 x+9}{15x^2} \times \frac{10x^4}{16 x-12}}\\\\=\frac{3\times (2x+3)}{3 \times 5\times x\times x} \times \frac{5\times 2 \times x^2\times x^2}{4\times(4 x -3)}\\\\{\text{Cancelling terms from numerator and Denominator}}\\\\=\frac{x^2\times(2 x+3)}{2\times(4x-3)}\\\\=\frac{2x^3+3x^2}{8x-6}$

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3 years ago

__________________________________________

xz_007 [3.2K]

Answer:

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Step-by-step explanation:

Given expression:

$\frac{2.64 x 10^{-3} }{8.0 x 10^{0} }$

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3 years ago

In a simple regression analysis (where y is a dependent and x an independent variable), if the y-intercept is positive, then it

Rom4ik [11]

Answer:

$m=\frac{S_{xy}}{S_{xx}}$

Where:

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}$

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$\bar x= \frac{\sum x_i}{n}$

$\bar y= \frac{\sum y_i}{n}$

And we can find the intercept using this:

$b=\bar y -m \bar x$

On this case the correct answer would be:

E. none of the above

Since the intercept has no association between the increase/decrease of the dependent variable respect to the independent variable

Step-by-step explanation:

Assuming the following options:

A. there is a positive correlation between X and Y

B. there is a negative correlation between X and Y

C. if X is increased, Y must also increase

D. if Y is increased, X must also increase

E. none of the above

If we want a model $y = mx +b$ where m represent the lope and b the intercept

$m=\frac{S_{xy}}{S_{xx}}$

Where:

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}$

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}$

$\bar x= \frac{\sum x_i}{n}$

$\bar y= \frac{\sum y_i}{n}$

And we can find the intercept using this:

$b=\bar y -m \bar x$

On this case the correct answer would be:

E. none of the above

Since the intercept has no association between the increase/decrease of the dependent variable respect to the independent variable

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3 years ago

How do you solve a linear equation

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3 years ago

Read 2 more answers

90. The number of daily evening newspapers in the United States has decreased by 46.5% to

aleksandr82 [10.1K]

Answer:

700

Step-by-step explanation:

Given:

Daily evening newspapers in 2015 = 389

Percentage decrease from 2000 to 2015 = 46.5%

To find:

Number of newspapers in 2000 = ?

Solution:

Let the number of newspapers in 2000 = $x$

When 46.5% of the total newspapers in 2000 ( $x$ ) is subtracted from the total newspapers in 2000 ( $x$ ), it will be equal to the number of newspapers in 2015.

Making the equation as per the given statement:

$x-x\times 46.5\%=389\\\Rightarrow \dfrac{100x-46.5x}{100}=389\\\Rightarrow 53.5x=38900\\\Rightarrow x\approx \bold{727}$

Therefore, the answer is:

There were <em>727 </em>newspapers in 2000.

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3 years ago