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Oliga [24]
1 year ago
9

Let the demand function for a product be q = 100 - 2p. the inverse demand function of this demand function is:_______

Mathematics
1 answer:
Westkost [7]1 year ago
3 0

The inverse demand function of the given demand function is <u>p = 50 - q/2</u>.

A graph that depicts the relationship between a product's price and demand is called a demand curve. On a demand graph, the horizontal axis represents the amount desired, while the vertical axis represents the product's price.

The price is a function of the quantity required when there is an inverse demand curve. The inverse of a demand curve indicates that variations in the amount required cause changes in price levels. The formula for calculating the demand curve for a product yields the graph of an inverse demand curve.

Given demand function: q = 100 - 2p.

To find the inverse demand function, we find the inverse of the equation, by isolating p, to get:

q = 100 - 2p,

or, 2p = 100 - q,

or, p = 100/2 - q/2,

or, p = 50 - q/2.

Thus, the inverse demand function of the given demand function is <u>p = 50 - q/2</u>.

Learn more about inverse functions at

brainly.com/question/3831584

#SPJ4

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The graph of the equation y=−5x+b goes through the point A(5, −2). Find the value of b.​
TEA [102]

Answer:

23

Step-by-step explanation:

y+2=-5(x-5)

=-5x+25

subtract 2 from the left side and subtract it from the 25

y=-5x+23

7 0
3 years ago
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Jeff is baking a cake. The recipe says that he has to mix 32 grams of vanilla powder to the flour.
sergeinik [125]

If 1 cup of that particular vanilla powder has a mass of 128 grams, then \dfrac{2}{3} of a cup of vanilla powder has a mass of

\dfrac{2}{3} \cdot 128=\dfrac{256}{3}=85\dfrac{1}{3} grams.

Since

85\dfrac{1}{3}-32=53\dfrac{1}{3} grams and \dfrac{5}{12} of a cup of vanilla powder is

\dfrac{5}{12}\cdot 128=\dfrac{5\cdot 128}{12}=\dfrac{5\cdot 32}{3}=\dfrac{160}{3}=53\dfrac{1}{3},

then correct answer is that he went over by  \dfrac{5}{12}  of a cup.

Answer: correct choice is B.


3 0
3 years ago
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There are 7 bags. 2 bags are big. The rest are small.How many bags are small?
siniylev [52]
7-2=5
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6 0
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Type the correct answer in each box. Use numerals instead of words. Any non-integer answers in this problem should be entered as
ladessa [460]

Answer:

The interquartile range of the data set is 5

The mean absolute deviation of the data set is 3.6

Step-by-step explanation:

* Lets explain how to find the interquartile range and the mean absolute

  deviation (MAD)

- The steps to find the interquartile range is:

1- Arrange the values from the smallest to the largest

∴ The values are 5 , 6 , 10 , 11 , 12 , 13 , 14 , 15 , 18 , 20

2- Find the median

- The median is the middle value after arrange them

* If there are two values in the middle take their average

∵ The values are 10 then the 5th and the 6th are the values

∵ The 5th is 12 and the 6th is 13

∴ The median = \frac{12+13}{2}=12.5

∴ The median is 12.5

3- Calculate the median of the lower quartile

- The lower quartile is the median of the first half data values

∵ There are 10 values

∴ The first half is the first five values

∴ The first half values are 5 , 6 , 10 , 11 , 12

∵ The middle value is 10

∴ The median of lower quartile = 10

- Similar find the median of the upper quartile

- The upper quartile is the median of the second half data values

∵ There are 10 numbers

∴ The second half is the last five values

∴ The second half values are 13 , 14 , 15 , 18 , 20

∵ The middle value is 15

∴ The median of upper quartile = 15

4- The interquartile range (IQR) is the difference between the upper

    and the lower medians

∴ The interquartile range = 15 - 10 = 5

* The interquartile range of the data set is 5

* Lets talk about the mean absolute deviation

- Mean absolute deviation (MAD) of a data set is the average distance  

 between each data value and the mean

- To find the mean absolute deviation of the data, start by finding

   the mean of the data set.  

1- Find the sum of the data values, and divide the sum by the  

   number of data values.  

∵ The data set is 5 , 6 , 10 , 11 , 12 , 13 , 14 , 15 , 18 , 20

∵ Its sum = 5 + 6 + 10 + 11 + 12 + 13 + 14 + 15 + 18 + 20 = 124

∵ The mean = the sum of the data values/the number of the data

∵ The set has 10 numbers

∴ The mean = 124/10 = 12.4

2- Find the absolute value of the difference between each data value  

   and the mean ⇒ |data value – mean|

# I5 - 12.4I = 7.4

# I6 - 12.4I = 6.4

# I10 - 12.4I = 2.4

# I11 - 12.4I = 1.4

# I12 - 12.4I = 0.4

# I13 - 12.4I = 0.6

# I14 - 12.4I = 1.6

# I15 - 12.4I = 2.6

# I18 - 12.4I = 5.6

# I20 - 12.4I = 7.6

3- Find the sum of the absolute values of the differences.

∵ Their sum = 7.4 + 6.4 + 2.4 + 1.4 + 0.4 + 0.6 + 1.6 + 2.6 + 5.6 + 7.6

∴ Their sum = 36

4- Divide the sum of the absolute values of the differences by the

    number of data values  to find MAD

∴ MAD = The sum of the absolute values/number of the values

∵ The sum = 36

∵ The data set has 10 values

∴ MAD = 36/10 = 3.6

* The mean absolute deviation of the data set is 3.6

6 0
2 years ago
What is the ratio for 45 miles and 0.75 hours
alisha [4.7K]

Answer:

I'm pretty sure it is 60 miles per hour (60:1)

Step-by-step explanation:

I used a unit rate calculator

Sorry if I'm wrong

6 0
3 years ago
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