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3 years ago

PLEASE HELP!!!!!!

Mathematics

2 answers:

Monica [59]3 years ago

6 0

Answer: The correct options are

(C) x = -6

(D) x = 6.

Step-by-step explanation: We are given to select the values of x that are the solutions to the following equation :

$5x^2-136=44~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

The solution of the given equation (i) is as follows :

$5x^2-136=44\\\\\Rightarrow 5x^2=44+136\\\\\Rightarrow 5x^2=180\\\\\Rightarrow x^2=\dfrac{180}{5}\\\\\Rightarrow x^2=36\\\\\Rightarrow x=\pm\sqrt{36}~~~~~~~~~~~~~~[\textup{taking square root on both sides}]\\\\\Rightarrow x=6,~-6.$

Thus, the solutions to the given equation are x = -6 and x = 6.

Option (C) and (D) are correct options.

Reika [66]3 years ago

5 0

Answer:

x=6

Step-by-step explanation:

5x^2-136=44

add 136 to both sides

5x^2=180

divide both sides by 5

x^2= 36

take square root of both sides

x=6

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8 0

3 years ago

Expand the following:<br> a) 3(x + 5)<br> b) 4(x-4)<br> c) 2(5x + 1)<br> d) 7(x-9y)

Tema [17]

Answer:

solution,

$a. \: 3(x + 5) \\ \: \: = 3 \times x + 3 \times 5 \\ \: \: = 3x + 15$

$b. \: 4(x - 4) \\ \: \: = 4 \times x - 4 \times 4 \\ \: \: = 4x - 16$

$c. \: 2(5x + 1) \\ \: = 2 \times 5x + 2 \times 1 \\ \: \: = 10x + 2$

$d . \: 7(x - 9y) \\ \: = 7 \times x - 7 \times 9y \\ \: \: = 7x - 63y$

Hope this helps..

Good luck on your assignment..

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4 years ago

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3 years ago

What is the value of the correlation coefficient r of the data set?

enyata [817]

The correct option will be: C) 0.84

<u><em>Explanation</em></u>

Formula for Correlation coefficient :

$r= \frac{n(\Sigma xy)-(\Sigma x)(\Sigma y)}{\sqrt{[n\Sigma x^2-(\Sigma x)^2][n\Sigma y^2-(\Sigma y)^2]}}$

First, for each point(x, y), we need to calculate x², y² and xy .

Then, we will find sum all x, y, x², y² and xy, which gives us Σx, Σy, Σx², ∑y² and Σxy

<em>(Please refer to the attached image for the table )</em>

Here we got, ∑x = 44 , ∑y = 183 , ∑x² = 362 , ∑y² = 6575 and ∑xy = 1480

'n' is the total number of data set, which is 7 here.

So, plugging those values into the above formula..........

$r= \frac{n(\Sigma xy)-(\Sigma x)(\Sigma y)}{\sqrt{[n\Sigma x^2-(\Sigma x)^2][n\Sigma y^2-(\Sigma y)^2]}}\\ \\ r=\frac{7(1480)-(44)(183)}{\sqrt{[7(362)-(44)^2][7(6575)-(183)^2]}}\\ \\ r=\frac{10360-8052}{\sqrt{(598)(12536)}}\\ \\ r=\frac{2308}{\sqrt{7496528}}\\ \\ r=0.84$

So, the value of the correlation coefficient is 0.84

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3 years ago

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