A flat fee of $15.25 plus $3.45 per pound of supplies ordered is added to the bill to cover the shipping cost.The teacher budgets $49.75 for the shipping cost.Which list of values best represents the entire domain for shipping, f(x), as a function of the number of whole pounds of school supplies the teacher can order, x?

Answers

Answer 1

The domain of a function is the set of possible input value, the function can take.

The domain is [0,10]

The given parameters are:

[tex]Flat\ Fee = 15.25[/tex]

[tex]Rate = 3.45[/tex]

So, the function f(x) is:

[tex]f(x) = Flat\ Fee + Rate \times x[/tex]

[tex]f(x) = 15.25 + 3.45 \times x[/tex]

[tex]f(x) = 15.25 + 3.45x[/tex]

Because x represents the number of orders, the value of x cannot be negative.

The teacher budgets $49.75.

This means that: f(x) = 49.75

So, we have:

[tex]49.75 = 15.25 + 3.45x[/tex]

Collect like terms

[tex]49.75 - 15.25 = 3.45x[/tex]

[tex]34.5 = 3.45x[/tex]

Divide both sides by 3.45

[tex]10 = x[/tex]

Rewrite as

[tex]x = 10[/tex]

Hence, the domain is [0,10]

Read more about domains at:

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Related Questions

please help with this

Answers

Answer:

b = 3

Step-by-step explanation:

All angles in a triangle always equal 180*

so 180 - 100 + 41 = 39

39/13 = b

3 = b

Have a nice day! :-)

The value of is B=3

Evaluate – b^4 when b=-8

Answers

Answer:

4096

Step-by-step explanation:

b = -8, Plug in:

b^4

(-8)^4

4096

Hopefully this helps!

Brainliest please?

Help me pls and thx and have a nice day

Answers

Answer: the answer should be the last one

Step-by-step explanation:

- 67 minus what gives me 0

Answers

Answer:

-67

Step-by-step explanation:

-67 minus -67 = -67+67 (since two negatives make a positive) =0

Answer:

Step-by-step explanation:

For the math problem, "67 minus what equals 0?", we can make it into an algebra equation as follows:

67 - X = 0

Then, we solve for X. To solve for X, we first subtract 67 from both sides:

67 - 67 - X = 0 - 67

-X = -67

Next, you multiply each side by -1 to remove the minus from the X:

-X(-1) = -67(-1)

X = 67

Therefore, the answer to "67 minus what equals 0?" is 67 as illustrated below:

67 - 67 = 0

what is the multiplicative inverse of -3 1/2
A) 7/2
B) -2/7
C) 9​

Answers

Answer:

B or -2/7 should be correct

Step-by-step explanation:

First, I would find out the improper fraction of -3 1/2

The improper fraction of -3 1/2 is -7/2

To find the multiplicative inverse, we will flip the numerator and the denominator.

Multiplicative inverse of -7/2 = 2/-7

2/-7 is a weird way to write a fraction, so to convert into a reasonable fraction, we will multiply both the numerator and denominator by -1.

2/-7 x -1/-1 = -2/7

Therefore, B should be your answer

Kind requests:

Please give me brainliest :)

Answer:
B) -2/7

Explanation:
this is because, you start out by simplifying -3 1/2 to get -7/2 next you find the multiplicative inverse of which is -2/7

plz help i’ll give brainliest

Answers

Answer:

is equivalent

Step-by-step explanation:

Answer:

the first one

Step-by-step explanation:

$10.00/8 slices is it a unit rate

Answers

no, its not a unit rate

The list represents the number of cars
sold and the bonus received by the
salespeople of a car dealership.
{(1, 50), (2, 50), (3, 100), (4, 150)

Answers

Answer:

What is the question

Step-by-step explanation:

HELPPPPPPPP PLSSSWWWSD&Y6UIB

Answers

Your answer is gonna be the answer A

Pleaseee Help me plzz

Answers

Answer:

70

Step-by-step explanation:

There are 360 girls in a school and they account for 15% of the students studying there, How many students study at that school?

Answers

Answer:

1250

Step-by-step explanation:

Find the equation of the line that passes through (1,-2) and is parallel to y = 3x + 4.
Leave your answer in the form y = mx + c

Answers

Answer: y=3x-5

Step-by-step explanation: Find the slope of the original line. slope is m=3. Then use the point slope formula  [tex]y-y1=m(x-x1)[/tex] to find the line parallel to y=3x+4. Parallel lines have the same slope. so you substitute the given point (x1,y1)(1,-2) and slope m=3  into the point slope formula.

y-(-2)=3(x-1)  

y+2=3x-3  

y=3x-5

A solid sphere is cut into 3 equal wedges. The volume of each wedge is

V=nrSolve the formula for r.

O A. r= VA

B. r = 79V - 47

O c. r= 9V (47)

O D. r = = 1

Answers

It is b become more b

Part B
If you graphed a line to represent the situation, what point would represent the unit rate?

Answers

Answer: 1, 20!

Step-by-step explanation:

Tony has a small fish tank that is 3 feet long, 2 feet high, and 1 foot wide. He wants to buy more fish, so he will need a fish tank with a larger volume. What would be the volume of a fish tank, in cubic feet, that has a scale factor of 3 compared with each dimension of his old fish tank?

Answers

The volume would be 162 feet^3

WILL MARK BRAINLIEST, NO FAKE ANSWERS
Design 2 rectangular pizzas both with an area of 64 square inches but with different perimeters

Answers

Answer:

rectangle one:

height = 2

width = 32

rectangle 2 :

height = 4

width = 16

Step-by-step explanation:

If you like squid game, trust me :) lol

la palabra tremulas es una palabra grave o esbrujula?

Answers

Answer:

Step-by-step explanation:

La palabra trémula es esdrújula porque la sílaba tónica es la antepenúltima sílaba. Las palabras esdrújulas siempre llevan tilde (acento ortográfico).

Question 5 of 10
Pardis bought opening night tickets to a movie she had been excited about
seeing for a long time. Midway through the movie, she realizes it's bad and
wishes she had stayed home. Which question should Pardis have asked
herself before spending the money on the ticket?
A. Am I overspending?
B. Am I buying for the right reason?
Ο Ο Ο Ο
c. Am I purchasing on a whim?
D. Are my expectations too high?
SUBMIT

Answers

Answer: d bc I can't tell what  is supposed to say.

The populations of Cities A and B are 3.8 x 109 and 2,115,000, respectively. The population of City C
is twice the population of City B.
The population of City C is how many times the population of City A?
The population of City C is
times the population of City A.

Answers

Answer:

this is so freakin hard

Step-by-step explanation:

What is the LCM? Please help asap!!

Answers

Answer:

d

Step-by-step explanation:

Answer:

C.) [tex]e^3r^3t^3[/tex]

Step-by-step explanation:

The least common multiple (LCM) of two or more non-zero whole numbers is the smallest whole number that is divisible by each of those numbers. In other words, the LCM is the smallest number that all of the numbers divide into evenly.

Which two functions always Which two functions always share the domain (-∞, ∞) and range (-∞, ∞)?
linear
absolute value
quadratic
exponential
reciprocal
cubic
cube root
square root

Answers

Answer:

Linear.

Cubic.

Step-by-step explanation:

Two functions always share the domain (-∞, ∞) and range (-∞, ∞) are linear and cubic.

What is domain?

" Domain is defined as the set of all input values in the given function."

What is range?

" Range is defined as the set of all output values in the given function."

According to the question,

For linear function we can put all the real numbers for the independent variable 'x' that is ( -∞ , ∞).

Domain of a linear function = ( -∞ , ∞).

Output values of the linear function is set of all real numbers (-∞,∞).

Range of a linear function = (-∞,∞).

For cubic function

Cubic function is an odd polynomial . One end extends to +∞ and other end to -∞.

Domain and range of cubic function (-∞,∞).

Hence, two functions always share the domain (-∞, ∞) and range (-∞, ∞) are linear and cubic.

Learn more about domain and range here

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Evaluate the expression when g= 14 and h=63.
h
9+
Х
5
?

Answers

Answer:

[tex]23[/tex]

Step-by-step explanation:

[tex]g+\frac{h}{7}[/tex]

[tex]g=14[/tex][tex]h=63[/tex][tex]14+\frac{63}{7}[/tex]

First, divide 36 by 7:

[tex]\frac{63}{7}=9[/tex]

Add 14 and 9:

[tex]14+9=23[/tex]

________________________

Find the slope for (10, 22) and (3, 14)

Answers

Answer:

slope: m=8/7

Step-by-step explanation:

HELPPPPP plsssss i need this answer ASAP

Answers

Answer:

0.05 in decimal form or 1/20

Step-by-step explanation:

Since there are 20 blocks, we are going to divide 1 by 20.

Result: 00.5

To get it in fraction form we are going to multiply 1/4 by 1/5 and get 1/ 20 because 4 x 5 = 20. There is no way to simplify this.

Therefore, your answer would be 1/20.

-kiniwih426

If you sell $1000 worth of popcorn, then your Boy Scout dues are free. Ethan sold $1000 worth of popcorn. Conclusion: Ethan's Boy Scout dues are free.

This conclusion was draw using the law of contrapositive


This conclusion was draw using the law of detachment


This conclusion was draw using the law of syllogism


An invalid conclusion was made

Answers

Not 100% sure but I’d say B

what is the square root of 50?

Answers

Answer:

7.07

Step-by-step explanation:

Step-by-step explanation:

7.07

or

7.07106781187

enjoy thanks brainliest??

and yes enjo :)

at a charity casino event, a woman begins playing a slot machine with $10 in quarters in her coin bucket. she plays 15 quarters before winning a jackpot of 50 quarters. she then plays 20 more quarters in the same machine before walking away. how many quarters does she now have in her coin bucket?

Answers

Answer:

265 quarters ($66.25)

Step-by-step explanation:

10$ in quarters is 250 quarters.

you subtract the 15 from winning (=235), then add 50 for the jackpot (=285). Subtract another 20 for her final plays (=265).

Sonia works at a bakery. The function f(x) represents the amount of money Sonia earns per loaf, where x is the number of loaves she makes. The function g(x) represents the number of bread loaves Sonia bakes per hour, where x is the number of hours she works. Show all work to find f(g(x)), and explain what f(g(x)) represents.
f(x) = 8^2 +4
g of x equals the square root of the quantity 2 x cubed

Answers

Answer:

[tex] f(x)=8x^2+4\\ g(x)=\sqrt{2x^3}\\ f(g(x))=8((\sqrt{2x^3})^2)+4\\=16x^3+4\\=4(4x^3+1)[/tex]

The function f(g(x)) will be f(g(x)) = 4(4x³ + 1) where 'x' is the number of hours.

What is a function?

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The functions are given below.

f(x) = 8x² + 4

g(x) = √(2x³)

The function f(g(x)) is calculated as,

f(g(x)) = 8[√(2x³)]² + 4

f(g(x)) = 8[√(2x³)]² + 4

f(g(x)) = 16x³ + 4

f(g(x)) = 4(4x³ + 1)

The function f(g(x)) will be f(g(x)) = 4(4x³ + 1) where 'x' is the number of hours.

More about the function link is given below.

https://brainly.com/question/5245372

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3x + 7 = x -5Group of answer choices x = -6 x = -7 x = 12 x = 6

Answers

The answer is x= -7 (can you please hit thanks)

Let Q be in the interior of angle POR . Use the Angle Addition Postulate to solve for x. Find the measure of each angle.
angle POQ=(1/3x + 1/3)°
angle QOR=(2x+ 4/3)°
angle POR=(5x-1)°

Answers

Answer:

X=1

POQ= 1/3x+1/3= 1/3(1)+1/3=2/3

QOR= 2x +4/3= 2(1)+4/3= 10/3

POR= 5x-1= 5(1)-1= 4

Step-by-step explanation:

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