Which function is an odd function?

What ordered pair is a solution to y = x + 5 and x - 5y = -9? I also need to show the work.

Margarita [4]

Answer:

(- 4, 1 )

Step-by-step explanation:

Given the 2 equations

y = x + 5 → (1)

x - 5y = - 9 → (2)

Substitute y = x + 5 into (2)

x - 5(x + 5) = - 9 ← distribute and simplify left side

x - 5x - 25 = - 9

- 4x - 25 = - 9 ( add 25 to both sides )

- 4x = 16 ( divide both sides by - 4 )

x = - 4

Substitute x = - 4 into either of the 2 equations and evaluate for y

Substituting into (1)

y = - 4 + 5 = 1

Solution is (- 4, 1 )

3 0

3 years ago

You earn three dollars an hour as a waitress after working three hours you earn 12 five and seven dollars in tips how much money

NikAS [45]

Answer:

The waitress earned a total of 33 dollars

Step-by-step explanation:

Step 1: Determine total earnings from wages;

Total earnings from wages=Earnings per hour×number of hours worked

where;

Earnings per hour=3 dollars an hour

Number of hours worked=3 hours

replacing;

Total earnings from wages=(3×3)=9 dollars

Step 2: Determine total earnings from tips

Total earnings from tips=(12+5+7)=24 dollars

Step 3: Calculate total money earned

Total money earned=Total earnings from tips+total earnings from wages

where;

Total earnings from tips=24 dollars

Total earnings from wages=9 dollars

replacing;

Total money earned=(9+24)=33 dollars

The waitress earned a total of 33 dollars

7 0

3 years ago

In the video, the water level was 15 milliliters before adding the chain, and 20 milliliters after adding the chain. When I weig

mr_godi [17]

Answer:

39.7%

Explanation:

1. First find the density of your chain

Density = mass / volume

Volume = displaced water volume

= Volume of Final level of water - initial level of water

= 20 ml - 15 ml = 5 ml

Mass = 66.7 g

Density = 66.7g / 5 ml = 13.34 g/ml

2. Second, write the denisty of the chain as the weighted average of the densities of the other metals:

Mass of gold × density of gold + mass of other metals × density of other metals, all divided by the mass of the chain.

Calling x the amount of gold, then the amount of other metals is 66.7 - x:

$\dfrac{19.3\cdot x+9.7\cdot (66.7-x)}{66.7}=13.34$

$19.3x+635.66-9.7x=889.778$

$9.6x=254.118\\\\x=26.47$

Then, there are 26.47 grams of gold in 66.7 grams of chain, which yields a percentage of:

(26.47 / 66.7) × 100 = 39.7%

7 0

3 years ago

The table shows the average annual cost of tuition at 4-year institutions from 2003 to 2010.

nata0808 [166]

Answer: 1) The best estimate for the average cost of tuition at a 4-year institution starting in 2020 =$ 31524.31

2) The slope of regression line b=937.97 represents the rate of change of average annual cost of tuition at 4-year institutions (y) from 2003 to 2010(x). Here,average annual cost of tuition at 4-year institutions is dependent on school years .

Step-by-step explanation:

1) For the given situation we need to find linear regression equation Y=a+bX for the given situation.

Let x be the number of years starting with 2003 to 2010.

i.e. n=8

and y be the average annual cost of tuition at 4-year institutions from 2003 to 2010.

With reference to table we get

$\sum x=36\\\sum y=150894\\\sum x^2=204\\\sum xy=718418$

By using above values find a and b for Y=a+bX, where b is the slope of regression line.

$a=\frac{(\sum y)(\sum x^2)-(\sum x)(\sum xy)}{n(\sum x^2)-(\sum x)^2}=\frac{150894(204)-(36)718418}{8(204)-(36)^2}=\frac{30782376-25863048}{1632-1296}=\frac{4919328}{336}\\\\=14640.85$

and

$b=\frac{n(\sum xy)-(\sum x)(\sum y)}{n(\sum x^2)-(\sum x)^2}=\frac{8(718418)-(36)150894}{8(204)-(36)^2}=\frac{5747344-5432184}{1632-1296}=\frac{315160}{336}\\\\=937.97$