The total cost to buy pizzas from Mrs. miss holiday party can be found using the function C(x)=10+3.50x, where X is the number of pizza bought. She wants to order at least 5 pizzas but no more than 9 pizzas for class. Is this a continuous or discreet relationship?

What is the domain and what is the range of the situation?

Answers

Answer 1

Answer:

We have the equation:

C(x) = 10 + 3.50*x

x represents the number of pizzas she buys, x only can take whole values, so we must have x ∈ Z

This means that this relation is discrete because there are only some values of x avaible, and thus there will be only some values of C(x) avaible.

She wants to buy at least 5 pizzas, and no more than 9, then the domain will be:

5 ≤ x ≤ 9

Or we could write the domain as:

{5, 6, 7, 8, 9}

This means that the possible costs will be:

C(5) = 10 + 3.50*5 = 27.50

C(6) = 10 + 3.50*6 = 31

C(7) = 10 + 3.50*7 = 34.5

C(8) = 10 + 3.50*8 = 38

C(9) = 10 + 3.50*9 = 41.50

Then the range is:

{27.50,  31, 34.5, 38, 41.50}


Related Questions

Which function displays this end behavior?
• As xapproaches negative infinity, y approaches positive infinity.
• As xapproaches positive infinity, yapproaches negative infinity.
A.) y = (x+ 2)^3 -9
B.) y = -2x^3-1
C.) y = -3x^3 + 4
D.) y = 3(x-1)^2

Answers

The functions that displays the behavior that as x approaches -∞, y approaches ∞ and as x approaches -∞, y approaches  -∞ are:

Option B: [tex]y = -2x^3-1[/tex]Option C:  [tex]y = -3x^3 + 4[/tex]

How to find the value of the function as x approaches infinity(+ve or -ve)?

If limits exist, we can take limits of the function, where x tends to -∞ or ∞, and that limiting value will be the value the function will approach.

Testing all the four functions listed for x tending to -∞ or ∞:

Case A: [tex]y = (x+ 2)^3 -9[/tex]

1. For x approaching -∞

[tex]lim_{x \rightarrow -\infty} (y) = lim_{x \rightarrow -\infty} ((x+2)^3 - 9) = -9 + lim_{x \rightarrow -\infty} ((x+2)^3) \rightarrow - \infty[/tex]

(since cube of negative quantity is going to be negative)

Thus, function also tends to -∞. So this function doesn't satisfy first case, thus, we don't need to test other case as only that function is needed which can satisfy both the cases.

Case B: [tex]y = -2x^3-1[/tex]

1. For x approaching -∞

[tex]lim_{x \rightarrow -\infty} (y) = lim_{x \rightarrow -\infty} (-2x^3 - 1) = -1 + lim_{x \rightarrow -\infty} (-2x^3) \rightarrow \infty[/tex]

(this time, negative sign was canceled by outer negative. So function approaches positive infinity as x approaches negative infinity.

2.  For x approaching ∞

[tex]lim_{x \rightarrow \infty} (y) = lim_{x \rightarrow \infty} (-2x^3 - 1) = -1 + lim_{x \rightarrow \infty} (-2x^3) \rightarrow -\infty[/tex]

So function approaches negative infinity as x approaches positive infinity

Thus, the considered function behaves as needed.

Case C: [tex]y = -3x^3 + 4[/tex]

Similar to above cases, we can see that negative sign and cube power will make this function go to positive infinity as x approaches negative infinity, and as x approaches positive infinity, the function will approach negative infinity.

Remember that finite constants added or subtracted from arbitrary large quantities(positive or negative infinity) can't affect them.

Case D: [tex]y = 3(x-1)^2[/tex]

Here x is in square power, no matter if x approaches +ve or -ve infinity, the square term would make it positive. So this function cannot approach negative infinity.

Thus, only Option B and C are performing as needed. Therefore, the functions that displays the behavior that as x approaches -∞, y approaches ∞ and as x approaches -∞, y approaches  -∞ are:

Option B: [tex]y = -2x^3-1[/tex]Option C:  [tex]y = -3x^3 + 4[/tex]

Learn more about limiting values of a function here:

https://brainly.com/question/13146225

Answer: y=-2x^-1

Step-by-step explanation:

3n + 7 = 16; n = 3
true or false?? need answers quickly

Answers

Answer:

True

Step-by-step explanation:

To solve substitute 3 for n into the equation.

3(3)+7=16.    Using order of operations multiply 3 and 3.

9+7=16         Add 9+7 next and 9+7 does equal 16 so this answer is true.

16=16

True.

10 points for correct answer and giving brainliest

Answers

Answer:

A

Step-by-step explanation:

We know it cant be -6 as that would be a range and since the circle on the end is hallow it wont be less or equal to rather just less than and the since the next one is 2 and its solid circle it has to be less than or equal too

Answer:

A. -9 < x ≤ -2

General Formulas and Concepts:

Algebra I

Domain is the set of x-values that can be inputted into function f(x)

Step-by-step explanation:

According to the graph, the line's x-values span from -9 to 2. Since -9 is an open dot, it is exclusive in the domain. Since 2 is a closed dot, it is inclusive in the domain:

(-9, 2] or -9 < x ≤ -2

Which scenario will have a quotient of 4/12?

A. Andrew has 4 liters of juice and wants to pour an equal amount of juice into 12 identical glasses. How many liters of juice will each glass contain?


B. Emily jogs 4 kilometers every day. What is the total distance she jogs in 12 days?


C. Nadia has 12 cookies and wants to distribute them evenly with her 3 friends and herself. How many cookies do Nadia and her friends each receive?


D. Steven uses 12 liters of red paint and 4 liters of yellow paint to make orange paint. What is the amount of red paint used for each liter of yellow paint?

Answers

Answer: A

Step-by-step explanation: just a feeling

Answer:

a

Step-by-step explanation: the question is aking you what 4/12 equals.

the answer A is asking you what 4 divided by 12 is (0.33333333)

                                                         

b) is multiplying

c) is has a 3 which is not in the question

d) is improper

HELP ASAP
A company advertises on a website.
A worker tracked the number of visits to the website and the number of clicks
on the advertisement.
The table shows the data for several days.
A linear function can be used to model the data.
Based on the table, what is the best prediction of the number of clicks on the
advertisement if 1500 people visit the website?

A 137
B 77
C 83
D 105

Answers

Answer:

I'm sure the answer is A

Step-by-step explanation: There is none, I saw someone else answer this.

Answer:

I'm pretty sure it's 83

Step-by-step explanation:

Teacher explanation that I still don't really understand

What is the population density of 13 lillies living in an area of 6 meters (length) and 4 meters (width)?

Answers

Answer:

0.54 lillies per square meter.

Step-by-step explanation:

First we calculate the area:

Area = length * width

Area = 6 m * 4 m = 24 m²

The we divide the population of lillies (13) by the area, to calculate the population density:

13 lillies / 24 m² = 0.54 lillies/m²

So the population density is 0.54 lillies per square meter.

How many 3/4 are in 2 write the multiplication equation

Answers

2: 3/4, 6/4

I do not know what you mean by the multiplication equation I apologize..

4(a+3) - 7 = 6a -21 aaaaaaaaaaaaaaaaaa

Answers

Answer:

a=13

Step-by-step explanation:

4a+12-7=6a-21

combine like terms

4a+5=6a-21

sub 4a from each side

5=2a-21

add 21 to each side

26=2a

divide each side by 2

a=13

Answer:

:)

Step-by-step explanation:

a=13

What is the volume of a sphere with a diameter of 4 meters? (Use 3.14 for π.) 18.84 m 3 100.48 m 3 33.49 m 3 25.12 m 3

Answers

Answer:

Step-by-step explanation:

the formula for Volume of the sphere is

V=4/3 * π*r^3

diameter =4, r=2

V=4/3 * 3.14 * 8=33.49

What is the range of h ?

Answers

Answer:

the answer is (-2,6) this is way he range

HELP ASAPPP PLZZZZ!​

Answers

Answer:

the second statement isn't true

Answer:

its the 2nd one

Step-by-step explanation:

have a good day

ASAP PLS HELPPPPPPPPPPPP ME ITS DUE TODAY!!!!!

WILL MARK BRAINLIEST IF GOOD ANSWER

Rewrite 7 − 8 using the additive inverse and display the new expression on a number line. (5 points)


Select one:


a.

7 + (−8)

An image of a horizontal number line is shown with labels from negative 2 to positive 8. An arrow begins at 0 and ends at 7. Another arrow begins at 7 and ends at negative 1.



b.

7 + 8

An image of a horizontal number line is shown with labels from 0 to 15. An arrow begins at 0 and ends at 7. Another arrow begins at 7 and ends at 15.



c.

7 − (−8)

An image of a horizontal number line is shown with labels from 0 to 15. An arrow begins at 0 and ends at 7. Another arrow begins at 7 and ends at 15.



d.

8 − 7

An image of a horizontal number line is shown with labels from negative 2 to positive 8. An arrow begins at 0 and ends at 8. Another arrow begins at 8 and ends at 1.

Answers

Answer:

i believe it is b

Step-by-step explanation:

Answer: B

Step-by-step explanation:

It is B because It would be the inverse of the equation, which is the opposite of the equation and It is 7+8.

Unit 3 Lesson 04.1 Percent Increase and Decrea...
0/1P
T
10/12 -
Maria's hair is now 40.6 centimeters long after cutting off 30% of her hair.
How long was her hair before she cut it?

Answers

Her hair was 45.5 centimeters long

The last time it placed an order for ingredients, Sweet Treats Bakery ordered 9,160 kilograms of sugar. This time, the bakery is ordering 75% more sugar. How much sugar is that?

Answers

Answer:

Sry but i hope u get the right answer and have a great christmas.

Step-by-step explanation:

which numbers are rational A)-4.34
B)0.43222
C)7.234156

Answers

Answer:

C

Step-by-step explanation:

The other 2 aren't rational numbers

I am not completely confident in my answer, so lmk if it's right

You buy a movie ticket for $5.25 and popcorn for $2.98. You pay with a 10-dollar bill. How much change will you get back?

Answers

Answer:

$1.77

Brainliest please?

Step-by-step explanation:

5.25+2.98=8.23

10-8.23=1.77

Help plz! Will give brainliest!

Answers

Answer: the answer is d god bless you and plz can i have brainliest i only need 1 more

Step-by-step explanation:

Answer:

D sqrt 72

Step-by-step explanation:

The answer is not A because 8.89 = sqrt 79 and that is too high

The answer is not B because 9.06 = sqrt 82

The answer is not C because 7.94 = sqrt 63

The answer is D 8.49 = sqrt 72 and that is perfect.

What is the y-intercept of the quadratic function
f(x)= (- 8)(x +3)?

Answers

Answer:

-24

Step-by-step explanation:

The standard from of equation of a line is expressed as g(x) = mx+c where;

m is the slope

c is the y-intercept of the line.

Given the expression g(x)= (- 8)(x +3), rewriting in standard form first we have;

g(x)= (- 8)(x +3)

gx)= -8x - 24

On Comparing with g(x) mx+ c, we will see that;

c = -24

Hence the y-intercept of the quadratic function is -24

HELP ME PLEASE I AINT GOT NO MORE WNERGY helpppppppp

Answers

Answer:

copy and paste youll get it

Step-by-step explanation:

Answer:

1350

Step-by-step explanation:

humm

Tell which measure is greater: 4 ounces or 3 grams?

Answers

Answer:

4 ounce

Step-by-step explanation:

because 1 ounce is 28 grams

Answer:

4 oz

Step-by-step explanation:

4 oz is 113.3 grams

3 grams is 0.11 oz

Have a nice day! (ノ◕ヮ◕)ノ*:・゚✧

( ゚д゚)つ Bye

Drag the correct steps into order to solve for 5x+5=-20 for x.

Answers

5x+5=-20
-5 -5
5x=-25
5x/5= -25/5
x=-5

Answer:

x= -5

Step-by-step explanation:

Simplifying

5x + 5 = -20

Reorder the terms:

5 + 5x = -20

Solving

5 + 5x = -20

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-5' to each side of the equation.

5 + -5 + 5x = -20 + -5

Combine like terms: 5 + -5 = 0

0 + 5x = -20 + -5

5x = -20 + -5

Combine like terms: -20 + -5 = -25

5x = -25

Divide each side by '5'.

x = -5

Simplifying

x = -5

$5.99 for 18 lb this is the question

Answers

Wait- what’s the question.

. Beth is making gingerbread men. She uses 2 raisins for eyes and 3 raisins for buttons for each gingerbread man. She buys 4 boxes of raisins, each with 120 raisins in it. How many dozens of gingerbread men can she make​

Answers

i think the answer is Beth can make 8 dozen gingerbread men

The number of gingerbreads that Beth can be made from 4 boxes of raisins is 8 dozens.

What is Proportion?

Proportions are mathematical statements where two or more ratios are made to be equivalent to each other.

Number of raisins Beth uses for one gingerbread man = 2 raisins for eyes and 3 raisins for buttons.

Number of raisins used for 1 gingerbread man = 2 + 3 = 5 raisins

Beth buys 4 boxes of raisins, each with 120 raisins in it.

Total number of raisins Beth bought = 4 × 120 = 480 raisins

So, 1 gingerbread can be made from 5 raisins.

Let x be the number of gingerbreads made from 480 raisins.

Using proportion,

1 : 5 = x : 480

1 / 5 = x / 480

Applying cross multiplication,

5x = 480

x = 480 / 5

x = 96

96 gingerbreads or 96/12 = 8 dozens of gingerbread can be made.

Hence 8 dozens of gingerbreads can be made from 4 boxes of raisins.

To learn more about Proportions, click on the link given below:

https://brainly.com/question/29774220

#SPJ2

The gas tank and Bob's car has 2.5 gallons of gas left in it Bob filled his gas tank and paid $45 the price for a gallon of gas was $3.05 approximately how many gallons of gas does Bob's tank hold

Answers

Answer:

45 divided by $3.05= 14.75

14.75 + 2.5 gallons = 17.25 gallons

Approximate volume gas tank will hold is 17 gallons.

Step-by-step explanation:

PLEASE HEL0 :( 20 points!

Answers

Answer:

a c b and f

Step-by-step explanation:

helpppppppp meeeeeeeee​

Answers

Answer:

The answer is B.

Step-by-step explanation:

Answer:

B. x < 7

Explanation:

1. Move constant (40) to right side and change its sign. -8x > -16 - 40

2. Caculate the difference. -8x > - 16 - 40= -8x > -56

3. Divide both sides by -8.

-8x ÷ 8 > -56 ÷ -8

4. Solution : x < 7

Which expression represents the following calculation?
"Add 2 and 10, then multiply by 3, then add 9."

Answers

Answer:

I think it's...

[(2 + 10) × 3] + 9

Using Newton's Method, what is the formula for determining the nth term in a sequence of approximations to a solution of a polynomial equation

Answers

Step-by-step explanation:

in newton rapson method

[tex]x_{n+1}=x_{n}-\frac{f\left(x_{n}\right)}{f^{\prime}\left(x_{n}\right)}[/tex]

Let [tex]n=n-1[/tex]

[tex]x_{(n-1)+1}=x_{n-1}-\frac{f\left(x_{n-1}\right)}{f^{\prime}\left(x_{n-1}\right)}[/tex]

[tex]x_{n}=x_{n-1}-\frac{f\left(x_{n-1}\right)}{f^{\prime}\left(x_{n-1}\right)}[/tex]

What is the answer for
(1, 1) and (1,9)

Answers

Answer:

9/0

Step-by-step explanation:

I can’t see. Please make it clear

•••••••••••••••••••••

Answers

Answer:

the answer is g

Step-by-step explanation:

20 desktops plus 15 laptops equals the 30 computer's and there's 5 more desktops than laptops. you welcome <3

Answer:

Step-by-step explanation:

Correct anwser is F because there are 5 more desktops than laptops and there is 35 total computers so it’s just 35-5 which is 30 which is 30+5=36 see it’s easy hope I helped

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