Dev has a monthly food budget of $182. He maps the amount of money,x, he spends each month to the number of food items he buys. What are the constrains on the domain?

Answers

Answer 1

Using it's concept, it is found that the domain of the function is [tex]0 \leq x \leq 182[/tex], that is, the constraints are:

x is of at least $0.x is of at most $182.

The domain of a function is the set that contains all possible values for the functions.

In this problem, the input of the function is how much he spends on food.

His budget is of $182, hence, considering this and the fact that he cannot spend a negative amount on food, the constraints are that x is between $0 and his budget of $182(inclusive), and the domain is [tex]0 \leq x \leq 182[/tex].

To learn more about the domain of functions, you can take a look at https://brainly.com/question/25897115

Answer 2

The domain of a function is the set of input values the function can have.

The constraints on the domain are: the amount (x) is at least $0, and it is at most $182

From the question, Dev's budget on food is given as:

[tex]Budget = \$182[/tex]

This means that, he cannot spend more than $182.

Represent the amount with x.

So, we have:

[tex]x \le 182[/tex]

Also, he cannot spend a negative amount.

So, we have:

[tex]x \ge 0[/tex]

So, the domain is:

[tex]x \ge 0[/tex] and [tex]x \le 182[/tex]

Rewrite as:

[tex]0 \le x[/tex] and [tex]x \le 182[/tex]

Combine both inequalities

[tex]0 \le x \le 182[/tex]

Hence, the constraints on the domain are: the amount (x) is at least $0, and it is at most $182

Read more about domain at:

https://brainly.com/question/10197594


Related Questions

HELPPP!! DUE NOWWWW!

Lucy recently joined a fitness club, she had to pay an initial fee to join. Lucy will also pay an extra fee per class she takes there. The equation below represents the relationship.


f(x)=20+3x


Identify the false statement


A. Lucy paid $3 per class.

B. f(x) represents the total amount Lucy paid.

C. x represents the cost of classes.

D. The initial fee was $20

Answers

Answer: C

Step-by-step explanation: x represents the number of classes, not the cost of classes.

The area of each square tile is square feet and the area of each triangular tile is square foot.

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image placeholder
ft
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We will need

ft of sand for each square tile, and

ft of sand for each triangular tile.

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Answer

hi

Step-by-step explanation:

ok

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the anser is 2 cuz i sad so, and i was droped don te stars as a lil kid ÆÆÆÆÆÆÆÆÆÆÆÆÆÆÆÆÆ

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Answer:

E seems to be the only one that is true

Step-by-step explanation:

its just asking you basically which ones are true based on the info they already give you

I do believe the Answer is E

Manny borrowed $800 at 10% annual interest. How much interest did he owe in one year?

Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

|-5| absolute be always + so 5

Answer:

[tex]5[/tex]

Step-by-step explanation:

Step 1:  Determine what absolute value does

Taking the absolute value of a number just returns how far a specific value is from 0.  So in this case we see a number -9 and although it's negative it's still 9 away from 0 therefore that would be the absolute value.

We are missing the absolute value of -5 or 5 so we know that taking the absolute value would just give us the distance from 0.  In this case that would just be 5.

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Answer:

443,226

Step-by-step explanation:


give a pair of alternate interior angles, a pair of corresponding angles and a pair of alternate exterior angles.

Answers

alternate interior: 6&3
corresponding: 5&7
alternate exterior: 8&1

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Answers

Answer:

AAS

Step-by-step explanation:

The diagram shows the distance between my home, H. and two towns, A and B.

It also shows information about journey times.

What is the average speed of the journey from my home to town A?

Answers

I do not know English :33333

PLEASE HELP ILL GIVE BRAINLIESTTTT

Answers

Answer:

f(-4a) = -16a + 8

Step-by-step explanation:

Substitute -4a into the equation

4x(-4a) + 8 = -16a +8

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Answers

The mistake was in the distributive property
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It should’ve been 4y-5+9y

Draw two lines with a slope of 1 / 2. What do you notice about the lines?

Answers

Answer:

The lines would be parallel.

Step-by-step explanation:

lines with the same slope are parallel.

The lines 1/2 should be parallel lines :)

Helpppppppp me …………………..

Answers

Answer:

first let's solve for x

x + (x + 30) + 2x = 180

4x + 30 = 180

-30          -30

4x = 150

/4      /4

x = 37.5

Now solve for the angle measures:

(x + 30)    =    (37.5 + 30) = 67.5

2x       =        2(37.5) = 75

x = 37.5

Answer:

X= 37.5

Step-by-step explanation:

9. The length of a rectangle is 3 cm longer than twice the width. If the area of the rectangle is 65 cm2,
find its length and the width.

Answers

Answer:

  length: 13 cm

  width: 5 cm

Step-by-step explanation:

You may be aware that 65 = 5×13. We note that 13 is 3 more than twice 5, so these are the dimensions of the rectangle:

  5 cm wide; 13 cm long

__

If you want so solve this algebraically, you can let w represent the width. Then the length is 2w+3 and the area is ...

  A = LW

  65 = (2w+3)(w)

In standard form, this equation is ...

  2w^2 +3w -65 = 0

To factor this, you look for factors of 2×(-65) = -130 that have a sum of 3. Those would be ...

  -130 = (-10)(13)

Then the factored equation is ...

  2w^2 +13w -10w -65 = 0

  w(2w+13) -5(2w+13) = 0

  (w -5)(2w +13) = 0   ⇒   w = 5, -13/2

The positive solution makes sense in this problem, so ...

  width = 5 cm

  length = 2(5) +3 = 13 cm

The length of a rectangular garden is 3 feet more than 2 times the width. The perimeter of the garden is 48 feet. Find the length and width of the garden .

Answers

Answer:

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Step-by-step explanation:

Let w represent the width. Then the length is 2w+3, and the perimeter is ...

  P = 2(L +W)

  48 = 2((2w+3) +w) = 6w +6

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Answer:1.2389 million US$

Step-by-step explanation:

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Answers

Answer:

0.75 liters

Step-by-step explanation:

1000ml in 1 liter so 0.75*1000=750ml

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Answers

Answer:

Question!! What is the relationship between A and B?

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

,(TT(TT)(TT)(TT)(TT)(TT)(TT

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Answers

Answer:ITS THE SECOND ONE

Step-by-step

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Answer:

Yep linear functions look like diagonal lines. Vertical lines have a slope of 0 whilst horizontal lines aren’t even defined. Diagonal and horizontal don’t work since horizontal aren’t defined so if one doesn’t work then it won’t work.

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Answer:

Diagonal lines........

Antonio wants to examine the sales in a restaurant during a period of time from 2 hours before to 2 hours after the peak dinner time and graph his results. If the peak dinner time is considered to be at 6 p.m., what would be the domain for the graph Antonio is creating?

Answers

Using function concepts, it is found that the domain of the graph Antonio is creating would be: [tex]4 \leq x \leq 8[/tex]

The domain of a function is the set that contains all possible input values.

In this problem, the inputs are the time, between 2 hours before and 2 hours after the peak time of 6 pm, hence, it is given by: [tex]4 \leq x \leq 8[/tex]

For more on the domain of functions, you can check https://brainly.com/question/24374080

Please help me solve this math problem

Answers

Answer:

 (b)

Step-by-step explanation:

A suitable calculator or spreadsheet can find the matrix product for you. Here, the answer choices differ in their upper left term, so we can determine the correct choice by finding the value of that term. It is the dot product of the first row of B and the first column of A.

  (5)(3) +(7)(3) +(3)(2) = 15 +21 +6 = 42

This matches choice B.

Find the perimeter of the figure. Use 3.14 for 7 and round to at least 1 decimal place.

Answers

Answer:

the perimeter of the figure is 27.4 mi

Step-by-step explanation:

rectangle perimeter = 6+6+6 = 18

half circle perimeter = 1/2 2πr = 3.14 × 3 = 9.42

the perimeter of the figure is 18+9.42 = 27.42 --> 27.4 mi

-6x+6y=9 (1/2,2) please helppppp

Answers

Answer:

A. Solution

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Coordinate Planes

Coordinates (x, y)

Step-by-step explanation:

*Note:

A coordinate is a solution if both the left side and right side of the equation is equal.

Step 1: Define

Identify.

-6x + 6y = 9

(1/2, 2)

Step 2: Verify

Substitute in variables [Equation]:                                                                   -6(1/2) + 6(2) = 9[Order of Operations] Evaluate:                                                                      9 = 9

Since 9 does indeed equal 9, the coordinate (1/2, 2) is a solution.

Select the correct answer from each drop-down menu.
what is 1 plus 1

Answers

one plus one equals 2 let me know if you need more help

Solve for X
5x-8 Answer is not 4.5 or 9/2

Answers

Answer:

[tex]{ \rm{5x - 8 < x + 10}} \\ \\ { \rm{5x - x < 10 + 8}} \\ \\ { \rm{4x < 18}} \\ \\ { \rm{x < 4.5}}[/tex]

Solving for x in the inequality gives us;

x < 4.5

Inequality

We are given the inequality;

5x - 8 < x + 10

The first step is to use addition property of equality to add 8 to both sides;

5x - 8 + 8 < x + 10 + 8

5x < x + 18

Use subtraction property of equality to subtract x from both sides to get;

5x - x < x + 18 - x

4x < 18

Using division property of equality, we have;

x < 18/4

x < 4.5

Read more on inequalities at; https://brainly.com/question/25275758

LAST ATTEMPT IM MARKING AS BRAINLIEST!! (Graph the image of the figure using the dilation given)

Answers

Answer:

[tex]I(-2,0) \to\\ I \ ' \ (-0.5,0)\\\\J(3,2) \to\\ J \ ' \ (0.75,0.5)\\\\K(1,-1) \to\\ K \ ' \ (0.25,-0.25)\\\\[/tex]

==================================================

Explanation:

For each point, multiply each x,y coordinate by 0.25 (the scale factor) to dilate the preimage to the image. This will shrink the image because the positive scale factor is less than 1.

So for instance, point J(3,2) will have this scratch work

3*(0.25) = 0.752*(0.25) = 0.5

meaning J(3,2) moves to J ' (0.75, 0.5)

----------

Side notes:

0.25 = 1/40.5 = 2/4 = 1/20.75 = 3/4this trick only works if the center of dilation is the origin

A shipping container will be used to transport several 60-kilogram crates across the country by rail. The greatest weight that can be loaded into the container is 26000 kilograms. Other shipments weighing 13200 kilograms have already been loaded into the container. What is the greatest number of 60-kilogram crates that can be loaded into the shipping container?

Answers

Answer:

213 crates

Step-by-step explanation:

There is enough space for 26000 kg - 13200 kg = 12800 kg. Divide this by 60 and you get 213 and 1/3. You cannot put 1/3 of a crate, so it is 213 crates.

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