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inn [45]
3 years ago
15

Sydney was asked whether the following equation is an identity: (2x^2-18)(x+3)(x-3)=2x^4-36x^2+162

Mathematics
2 answers:
weqwewe [10]3 years ago
4 0

Answer:

Any value of x x makes the equation true. All real numbers Interval Notation: ( − ∞ , ∞ ) .

Hatshy [7]3 years ago
4 0

Answer:

Yes it is.

See below.

Step-by-step explanation:

(2x^2-18)(x+3)(x-3)

= (2x^2 - 18(x^2 - 9)

= 2x^4 - 18x^2 - 18x^2 + 162

= 2x^4 - 36x^2 + 162.

The left side transforms to the right side so it is an identity.

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If a 20 ft tree casts a 15ft shadow, how long a shadow is cast​
Irina-Kira [14]

Answer:

25 ft

Step-by-step explanation:

c = √a^2 + b^2 = √20^2 + 15^2 = 25ft

Hooke me up with a 5 star and a thanks :)

4 0
2 years ago
If 38 = 11 + 3x, what is the value of x ?
Serhud [2]

Answer:

38-11=3x

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3 0
2 years ago
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Simplify negative 9 over 6 divided by 3 over negative 2..
34kurt

-6/3 division sign 2/-9

To solve: multiply by reciprocal inverse

-6/3 x -9/2= 54/6 or 9

6 0
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

4 0
2 years ago
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Evaluate the following expression at x = -4<br> -5x-1
ANTONII [103]
All u have to do is 20-1=19
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3 years ago
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