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3 years ago

Can someone please help?

Mathematics

1 answer:

Darya [45]3 years ago

3 0

Answer:

a) f(x) = (-1/3)x + 8

b) f(x) = (1/3)x + 9

Step-by-step explanation:

f(x) = 1/3x - 8

a) To reflect across the x axis multiply f(x) by -1.

-f(x) = -1 (1/3x - 8)

= (-1/3)x + 8

b) to translate up 17 units add 17 to f(x)

f(x) + 17=

= 1/3x - 8 + 17

= 1/3x + 9

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A 25-ft ladder and then you can get inside of a house the bottom of the ladder is 8 ft away from the bottom of the house what is

seropon [69]

Answer:

$71.33$ degree

Step-by-step explanation:

The angle between the bottom of the ladder and the ground is given by

$cos\alpha = \frac{B}{L}$

Where

B = distance between wall of house and the foot of ladder

L = Length of the ladder

Substituting the given values we get -

$Cos \alpha = \frac{8}{25}\\Cos \alpha = 0.32\\\alpha = Cos^{-1}(0.32)\\\alpha = 71.33$

4 0

3 years ago

Which expression represents the calculation "subtract 30 from 40, then multiply by 4

Rzqust [24]

4( 40 - 30)

subtract 30 from 40 is expressed as 40 - 30

then multiply by 4 is expressed as 4 × (40 - 30) or 4(40 - 30) = 40

3 0

3 years ago

Aline crosses the coordinates (-4,4) and (2.-5). What is the slope<br> of the line?

lisabon 2012 [21]

Answer:

Step-by-step explanation:

Use the slope formula:

$m = \frac{y2 -y1}{x2 - x1}$

where m = slope

Given the coordinates

(-4, 4) ---> this means x1 = -4 , y1 = 4

(2, -5) ---> this means x2 = 2 , y2 = -5

Substitute these values into the slope formula:

$m = \frac{y2 -y1}{x2 - x1}$

$m = \frac{-5 -4}{2 - (-4)} = \frac{-9}{2+4} = \frac{-9}{6} = \frac{-3}{2}$

4 0

3 years ago

According to the U.S. National Transportation Safety Board, the number of airline accidents by year from 1983 to 2006 were 23, 1

Lera25 [3.4K]

Answer:

$\bar X= 33.79167$

$s= 12.06497$

$SE= \frac{s}{\sqrt{n}}= \frac{12.06497}{\sqrt{24}}=2.463$

$Median= \frac{30+31}{2}= 30.5$

Step-by-step explanation:

For this case we have the following data:

23, 16, 21, 24, 34, 30, 28, 24, 26, 18, 23, 23, 36, 37, 49, 50, 51, 56, 46, 41, 54, 30, 40, and 31

We can calculate the sample mean with the following formula:

$\bar X = \frac{\sum_{i=1}^n X_i}{n}$

And replacing we got:

$\bar X= 33.79167$

Then we can calculate the standard deviation with this formula:

$s= \sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

And replacing we got:

$s= 12.06497$

And the sample size for this case is n =24. We can calculate the standard error with this formula:

$SE= \frac{s}{\sqrt{n}}= \frac{12.06497}{\sqrt{24}}=2.463$

And the median for this case since the sample size is 24 first we need to sort the data on increasing order and we got:

16 18 21 23 23 23 24 24 26 28 30 30 31 34 36 37 40 41 46 49 50 51 54 56

And for this case the median would be the average from the position 12 and 13 and we got:

$Median= \frac{30+31}{2}= 30.5$

4 0

3 years ago

Can any One solve this?

tatiyna

Omg this is the problem of the century I'll call the experts

7 0

3 years ago