The function q = 230,000 -28p is a demand function which expresses the quantity demanded of a product q as a function of the price charged for the product p, stated in dollars. Determine the restricted Domain and Range of the function.

Answers

Answer 1

Answer:

D=[0, 8 214.29]

R=[0, 230 000]

Step-by-step explanation:

In order to find the domain, we must think of the least price you can give to the product you are selling. The price cannot be less than zero, since that would mean that you are giving money to the consumer for taking the product away, so zero is the smallest value p can get.

The greatest value the price can get is the one such that the quantity demanded is zero. So we need to determine that price by setting the equation equal to zero and solving for p.

230,000-28p=0

so we get

-28p=-230,000

[tex]p=\frac{-230,000}{-28}[/tex]

so

p=$8,214.29

so the restricted domain for this function would be:

[tex]0\leq p \leq 8,214.29[/tex]

or in interval notation:

D=[0, 8 214.29]

In order to find the range, we just need to determine what's the least and greatest value the function can get. Since this is a linear function, we can find them by just substituting each of the extreme values of the domain in the function, so we get:

q=230,000-28(0)=230,000

q=230,000-28(8214.29)=0

so the range would be:

[tex]0\leq q \leq 230,000[/tex]

or in interval notation:

R=[0, 230 000]


Related Questions

If the number of dates Anna and John had is represented by three consecutive integers, what is the algebraic expression for

the total number of dates they have had?

Answers

Step-by-step explanation:

x,x+1,x+2

Topic: algebraic expression

If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks!

=3x+3
Let x represent the first date. The expression x+1 represents the second date. The expression x+2 represents the third date. The total number of dates as follows

PLEASE HELP!!!!!!!!!!
please answer all these questions

Answers

1.) 5
2.) 9
3.) 1/2
4.) 0.5
5.) 1
6.) -8

Najat is selling raffle tickets. The table shows the cost (in dollars) of buying different numbers of tickets.

Using x for the number of tickets and y for the cost, do the following.

Write an equation relating x and y

Answers

Answer:

The equation relating x and y is: y=4x

Step-by-step explanation:

Let x represent number of tickets

and y represent cost

a) Plot the ordered pairs

The ordered pairs (1,4),(2,8),(3,12),(4,16) is plotted in figure attached.

b)  Write an equation relating x and y

y= 4x

Now checking by putting values of x to see, if we get values of y

if x=1,  then y=4x => y=4*1 =>y=4

if x=2 then y=4x => y=4*2 =>y=8

if x=3 then y=4x => y=4*3 =>y=12

So, we get same values as table.

The equation relating x and y is: y=4x

This why is the product of 2 rational numbers always rational

Answers

Answer:

Adding two rational numbers is like adding two positive numbers, or two like fractions.

How to calculate slope?

Answers

Answer:

Rise/run    rise over run

Step-by-step explanation:

y2-y1/x2-x1

Factor the following expression:
14x+49

Answers


14x+49
7(2x+7)

Factor out 7

Answer: 7 out of 14x+49  = 7(2x+7)

14x+49

7(2x+7)

Hope this helps... Stay safe and have a great day/night!!!! :D

Martin finished sewing LaTeX: \frac{7}{8}7 8 of his outfit. Kary finished sewing LaTeX: \frac{3}{7}3 7 of what Martin had finished. What fraction of Kary's outfit was finished?

Answers

Kary's outfit is 3/7 sewn

Nina likes to tip restaurant staff 18% when she enjoys the meal and has good service. Which expression represents the amount of tip, in dollars, that Nina will give when she has a positive experience eating a meal that cost n dollars? 0.18n 18n StartFraction n over 18 EndFraction n + 0.18

Answers

Answer:

18n

Step-by-step explanation:

just got done taking the test

Answer:

0.18n

Step-by-step explanation:

These polygons are similar find the value of Y. PLLZZZ HELP

Answers

y=4  

8 ÷6= 1.3

6÷1.3=4                                      

5r + 2d
I need to know the answer to this equation.
R = 3 and d = 5

brainliest and 30 points for correct answer and first person ONLY

Answers

Answer:

=25

Step-by-step explanation:

plug in the numbers for the variables

5(3)+2(5)

15+10

25

what is the sum of (-2.1x + 3.7) and (5 + 4.9x)?

Answers

Answer: [tex]=2.8x+8.7[/tex]

[tex]=-2.1x+3.7+5+4.9x[/tex]

[tex]=(-2.1x+4.9x)+(3.7+5)[/tex]

[tex]=2.8x+8.7[/tex]

Which graph represents a function? Edge 2020

Answers

Answer:

Last Graph

General Formulas and Concepts:

Algebra I

Vertical Line Test - A function's x-values must have only 1 y-value corresponding to it. If the function fails to pass this, it is not a function.

Step-by-step explanation:

When we apply the Vertical Line Test to the 1st graph, it does not pass it. Therefore, the 1st graph is not a function.

When we apply the Vertical Line Test to the 2nd graph, it does not pass it. Therefore, the 2nd graph is not a function.

When we apply the Vertical Line Test to the 3rd graph, it does not pass it. Therefore, the 3rd graph is not a function.

When we apply the Vertical Line Test to the 4th graph, it does pass it. Therefore, the 4th graph is a function.

2) Eduardo put some money into an account 15 years ago that paid 6% interest compounded
weekly. The accout now has $500,000 in it. How much money did he start with?

Answers

Answer:but you count the exact number of days you have held the money in computing the interest. To use ... The interest I earn on the account is the interest the bank pays ... account earns 7.5% interest, compounded yearly, and no further deposits or withdraws are ... 1, 2001 was 2 years interest on $575, plus the $1,500 deposit:.

write an equation of the line that passes through (-1, 3) and has a slope of -4​

Answers

Answer:

y = -4x - 1

Step-by-step explanation:

We are given the slope so we can find the y intercept using slope intercept [ y = mx + b ]

y = -4x + b

3 = -4(-1) + b

3 = 4 + b

-1 = b

Now, put everything we know and solved for back into the formula.

y = -4x - 1

Best of Luck!

Find the value of the variable, x



Group of answer choices

45

42

2

21

Answers

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[tex]2x + 3 = 45[/tex]

Subtract sides 3

[tex]2x + 3 - 3 = 45 - 3[/tex]

[tex]2x = 42[/tex]

Divide sides by 2

[tex] \frac{2}{2} x = \frac{42}{2} \\ [/tex]

[tex]x = 21[/tex]

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Thus the correct answer is the last option.

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Answer:

The value of x is 21.

Step-by-step explanation:

The angles of a triangle all add up to 180 degrees. One side has an angle of 90 (right angle). So to find the others you would subtract 180 from 90 and divide it by 2. And you will get 45, so both acute angles will be 45 degrees.

If you subsitute 21 for x you will get 2*21 + 3 = 45, which is true (42 + 3 = 45)

please mark brainliest

use 10-point bins (90 to 99, 80 to 89, etc )​

Answers

Answer:

Is that a question or what

Step-by-step explanation:

dont make sense

Answer:

what is that a question

Step-by-step explanation:

In trapezoid ABCE, AB||CD. If the mZA
62° determine the m2D

Answers

the answer is 53 to the power of 6
53 to the power of 6

Which table represents a linear function?

Answers

Yeah the last ^^^^^^^

Answer:

The fourth.

Step-by-step explanation:

Which figure is shown in the drawing?

Answers

ray XY is the answer

Please give Brainliest also I hope this helps!

In the figure, of the given alternatives, a ray XY is shown.

What is a ray?The definition of ray in math is that it is a part of a line that has a fixed starting point but no endpoint. It can extend infinitely in one direction.

Given is the figure as shown in the image.

Of the given options, only a ray given by XY{with overhead arrow} can be seen as it has one starting point at [x] and extends along.

Therefore, in the figure, of the given alternatives, a ray XY is shown.

To solve more questions on geometry, visit the link below -

https://brainly.com/question/13254913

#SPJ2

Can the following question be considered a statistical question and why or why not?

Do students at Bryan Middle School exercise?

Yes, it specifies the population
No, it does not specify the population
Yes, it anticipates enough variability in responses
No, it does not anticipate enough variability in responses

Answers

Yes, it specifies the population

Answer: Yes, it anticipates enough variability in responses

Step-by-step explanation:

A statistical question is a question that can be answered by collecting data that vary. For example, “How old am I?” is not a statistical question, but “How old are the students in my school?” is a statistical question.

Which line is parallel to the line given y=-5/2x-7

Answers

Answer:

xzy567

Step-by-step explanation:

can't rely see it lol ​

Answers

Answer:

x = 60

Step-by-step explanation:

Answer:

x = 60°

Step-by-step explanation:

we know that triangles have 180 degrees so we can set up an equation:

86 + 34 + x = 180

now we subtract the sum of 86 and 34 from both sides to get a final answer:

x = 60

so lets plug our x value into the previous equation to check our answer:

86 + 34 + 60 = 180

when we add these numbers together, the equation checks out so we know our answer is correct.

hope this helps!

Mookie Betts can run to first base (which is 90 feet) in 3.2 seconds. How fast would he run a 200 yard dash (there are 3 feet in 1 yard)?

Answers

Answer:

21.3 seconds

Step-by-step explanation:

PLS GIVE BRAINLIEST

Answer:

21.3 seconds

Step-by-step explanation:

600 ft (200 yds x 3) divided by 90 ft (length to a base) would be 6.6666667

6.6666667 times 3.2 equals 21.3

iinm

Convert the decimal number 43 to Hex.

Answers

Answer:

the binary value is: 1000011

Step-by-step explanation:

Hex 43 to decimal explained:

The value of HEX 43 in decimal is 67.

The value of HEX 43 in binary is 1000011.

3 3 X 160 = 3

4 4 X 161 = 64

HEX 43 = 67

The binary value is: 1000011

A hexadecimal number has base 16 (0,1,2,3,4,5,6,7,8,9 A,B,C,D,E,F).

basic hex to decimal conversiontable

Hex 0 1 2 3 4 5 6 7 8 9 A B C D E F

Decimal 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15

HOPE THIS HELPS!

PLEASE MARK BRAINLIEST IF THIS HELPED YOU LEARN! :)

anyone help???
Thank you
need it in 3 min

Answers

Answer:

$40.352

Step-by-step explanation:

Answer:

666 ni\gdre

Step-by-step explanation

50 percent of 25 percent of the number is 96

Answers

Answer:

12

Step-by-step explanation:

25 percent of 96 is 24. 50 percent of 24 is 12.

Write 0.0000000068 as a scientific notation

Answers

Answer:

10×6.8 to the 9th power

Solve for n.
n + 1 = 4(n-3)
n = 1
n = 8
n = 11
n = 16

Answers

Answer:

I think its n=1 but not quite sure.

Which number sets (i.e. Natural, Whole, Integer, Rational, Real, etc.) are best suited to represent discrete functions? Why? Which number sets are best suited to represent continuous functions? Why?

Answers

Answer:

They are considered      discrete

Step-by-step explanation:

because

plz solve my question plx i will help u ​

Answers

Step-by-step explanation:

Your picture is not clear so sorry

Answer:

its super blurry

Step-by-step explanation:

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