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2 years ago

What is the domain of f(x) = 1/x

Mathematics

1 answer:

SCORPION-xisa [38]2 years ago

8 0

Answer:

The denominator is all real numbers except 0.

Step-by-step explanation:

In the function f(x) = 1/x, x appears in the denominator. A denominator cannot be zero since division by zero is undefined.

To find what values of x must be excluded from the domain, set the denominator equal to zero, and solve for x.

x = 0

The denominator is all real numbers except 0.

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Can someone help me!!!

Eva8 [605]

$\text {Distance} = \sqrt{(7-0)^2 + (-6+3)^2} = \sqrt{7^2+(-3)^2} = \sqrt{58} = 7.6 \text{ units}$

Answer: 7.6 units

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2 years ago

Assume you have noted the following prices for books and the number of pages that each book contains. Book Pages (x) Price (y) A

belka [17]

Answer:

a) $y=0.00991 x +1.042$

b) $r^2 = 0.7503^2 = 0.563$

c) $r=\frac{7(30095)-(4210)(49)}{\sqrt{[7(2595100) -(4210)^2][7(354) -(49)^2]}}=0.7503$

Step-by-step explanation:

Data given

x: 500, 700, 750, 590 , 540, 650, 480

y: 7.00, 7.50 , 9.00, 6.5, 7.50 , 7.0, 4.50

Part a

We want to create a linear model like this :

$y = mx +b$

Wehre

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

And:

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

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

With these we can find the sums:

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=2595100-\frac{4210^2}{7}=63085.714$

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i){n}}=30095-\frac{4210*49}{7}=625$

And the slope would be:

$m=\frac{625}{63085.714}=0.00991$

Nowe we can find the means for x and y like this:

$\bar x= \frac{\sum x_i}{n}=\frac{4210}{7}=601.429$

$\bar y= \frac{\sum y_i}{n}=\frac{49}{7}=7$

And we can find the intercept using this:

$b=\bar y -m \bar x=7-(0.00991*601.429)=1.042$

And the line would be:

$y=0.00991 x +1.042$

Part b

The correlation coefficient is given by:

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

For our case we have this:

n=7 $\sum x = 4210, \sum y = 49, \sum xy = 30095, \sum x^2 =2595100, \sum y^2 =354$

$r=\frac{7(30095)-(4210)(49)}{\sqrt{[7(2595100) -(4210)^2][7(354) -(49)^2]}}=0.7503$

The determination coefficient is given by:

$r^2 = 0.7503^2 = 0.563$

Part c

$r=\frac{7(30095)-(4210)(49)}{\sqrt{[7(2595100) -(4210)^2][7(354) -(49)^2]}}=0.7503$

4 0

2 years ago

What's 76×32÷5+(19×92)-15×2? Need help ASAP

arsen [322]

Answer:

2204.4

Step-by-step explanation:

Okay so we want to always use order of operations: PEMDAS

Sop first we do what is in the parenthesis. 19*92 is 1748.

Now, going from left to right, we do multiplication and division. 76*32 is 2432. Then we divide that by 5 to get 486.4. And the last bit is 15*2 which is 30.

Your equation now is 486.4+1748-30.

The final answer is 2204.4

6 0

2 years ago

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Is 5/100 a repeating decimal?

notka56 [123]

Answer:

Step-by-step explanation:

it is 0.05

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2 years ago

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One number is five more than another and their sum is three less than three times the smaller. Find the numbers.

tankabanditka [31]

Answer:

The numbers should be 8 and 13. You can check them to be sure.

Step-by-step explanation:

4 0

2 years ago

What is the domain of f(x) = 1/x​

What is the domain of f(x) = 1/x