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3 years ago

Which relation represents f(x) = 2x - 5?

Mathematics

1 answer:

goblinko [34]3 years ago

7 0

Answer:

{(0,-5), (1, -3), (2, -1), (3, 1)

Step-by-step explanation:

If you plug in 1 for x you get f(x)=2(1)-5 which equals 2-5=-3

You would repeat these steps just going up by one number every time

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adelina 88 [10]

Answer:

Step-by-step explanation:

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3 years ago

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Did I get this right plz be honest if i fail this i will fail this class

anyanavicka [17]

Step-by-step explanation:

Part A

A) The denominator is 665, so this is a terminating decimal.

B) 11/99 = 1/9 = 0.1111...

C) 256/999 = 0.256256256...

D) 25/909 = 275/9999 = 0.027502750275...

B has 1 repeating digit, C has 3 repeating digits, and D has 4 repeating digits. So the correct answer is C.

Part B

A decimal that can be written as a ratio of integers is a rational number.

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3 years ago

If Happie had ridden exactly 100 feet in 25

Strike441 [17]

Answer:

The speed rate is 100 feet per 25 seconds, or 20 feet every 5 seconds, (100 / 5 = 20)

Every minute is 60 seconds long, this means that to find out how fast she would roll in one minute we just need to do 60 / 5 = 12 and then do 12 x 20

12 x 20

10 x 20 = 200 feet per second

2 x 20 = 40 feet per second

200 + 40 = 240 feet per second

Happie would roll 240 feet in a minute at the speed of 100 feet per 25 seconds

Hope this helps!

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3 years ago

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The difference between two numbers is 25. The smaller number us 1/6th of the larger number. What is the value of the smaller num

Nataliya [291]

Answer:

Step-by-step explanation:

Let L be the larger number and s be the smaller one.

Then we have two equations.

(1) L – s = 25

(2) s = L/6 Multiply both sides by 6

6s = L Substitute the value for L in Equation(1)

6s – s = 25 Combine like terms

5s = 25 Divide both sides by 5

s = 5

The value of the smaller number is 5.

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3 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

3 years ago