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

Easy question and answer 15 points uh huh uh huh!!!

Answers

Answer: they are equal because the exponents are equal. Right there are in different order but they are still the same.

Step-by-step explanation:

They aren’t equivalent because when they’re both in different orders. You get a different answer when you divide them the opposite way.

I will give Brainiest For The Correct answer
Factor completely

a2 - a - 20

Worth 20 Points

Answers

(A−5)(A+4) I think that is the right answer

Solve for X. Please show work

Answers

Answer:

x = 19.8

Step-by-step explanation:

Mathematically, when two triangles are similar, the ratio of their corresponding sides are equal

thus, we have it that;

16/28.8 = 11/x

16 * x = 11 * 28.8

x = (11 * 28.8)/16

x = 19.8

You start out with a penny that will double every day for 30 days. Find the average rate of change from day 7 to day 14. Remember that this function has already been shown to be f(x)=0.01(2)^x.

Answers

Answer:

$23.22 per day.

Step-by-step explanation:

For a general function f(x), the average rate of change between A and B (when B > A) is:

[tex]r = \frac{f(B) - f(A)}{B - A}[/tex]

In this case we know that the function is:

f(x) = 0.01*(2)^x

And we want to find the average rate of change from day 7 to day 14

Then if we use the above equation we get that the rate of change from day 7 to day 14 is:

[tex]r = \frac{0.01*(2)^{14} - 0.01*(2)^7}{14 - 7} = 23.22[/tex]

Because this equation is in dollars, we can conclude that the average rate of change between day 7 and day 14 is $23.22 per day.

An average rate of change between A and B (where B>A) for a generic function [tex]f(x)[/tex] is:

[tex]\to r=\frac{f(B)-f(A)}{B-A}\\\\[/tex]

In this situation, the function is:

[tex]\to f(x) = 0.01\times (2)^x[/tex]

And we'd like to calculate the average rate of change from day 7 to day 14.Using the aforementioned equation, we can calculate the rate of change from day 7 to day 14 as follows:

[tex]\to r=\frac{0.01\times 2^{14} -0.01 \times 2^7}{14-7}=23.22[/tex]

Since this equation is stated in dollars, we can calculate that the average rate of change between days 7 and 14 is [tex]\$23.22[/tex] each day.

Learn more:

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15 points need ASAP
Write and solve a proportion to answer the question.

Eric scored 94% on a science test. If the test was out of 50 points, how many points did he earn? Show work.


(Answers just for points will result in a report)

Answers

Answer:

What is 94 out of 200 as a percentage?

47

Percentage Calculator: 94 is what percent of 200? = 47.

Step-by-step explanation:

sorry if it is not correct :(

an area rug is Rachel's room is shown below​

Answers

Answer:

1272 ft^2

Step-by-step explanation:

The area is 144*106= 15264 inches and to convert inches to feet we divide by 12 because a foot has 12 inches

15264/12 = 1272 ft^2

Can some show the steps and the answer please I really need help tell me how you get it and the answer

Answers

Answer:

if you use the 10 feet ladder base is 6 feet

if you use 12 feet ladder base is 8.94 feet

if you use 15 feet ladder base is 12.69 feet

Step-by-step explanation:

you know the ladder length so you know the hypotenuse

you can use a^2 + b^2= c^2

for example you use the 10 feet ladder

8^2+b^2 = 10^2

64 + b^2 = 100

subtract 64 from both sides

b^2=36

to get rid of the exponent find square root

b= 6

you can plug in the different values like 15 or 12

NEED HELP ASAP
Which ratios are equivalent to 4:10? Choose ALL the equivalent ratios.

Answers

Answer:

2:5 12:30(?)

Step-by-step explanation:

the first ones right I'm not sure about 12:30

Select the equation that is a rational function
A. y=x
B. y=x/(x+3)
C. y=x^3
D. y=2^x

Answers

Answer:

y = x/x+3 is a rational function

Step-by-step explanation:

Here, we want to select the equation that is a rational function

rational functions are such that could be expressed as the division of one function by another

For example;

f(x) = g(x)/h(x)

is a rational function

so, if we applied this here,

we have it that;

y = x/x+ 3 is a rational function

w-5=8w+5
show your work
no links!!!!

Answers

Answer:

-10/7

Step-by-step explanation:

w - 5 = 8w + 5

w - 8w = 5 + 5

-7w = 10

w = - 10/7

Answer:

Step-by-step explanation:

To solve this equation, group like terms together:  'w' terms on the right and constants on the left:

-10 = 7w.  Then:

w = -10/7 (exact) or w ≈ 1.43

(+5)+(-2)+(+20)
solve

Answers

Answer:

5(x-2)^2=20

5(x^2-4)=20

5x^2-20=20

5x^2-20-20=0

5x^2-40=0

5x^2+0x-40=0

Step-by-step explanation:

hope this is helpfull

If we multiply a number by 5, then we add it by 3.5, and we divide the result by 2, and from the new result we subtract 7.6 we obtain 6.65. Find out the number.

Answers

Answer:

the number is 5

Step-by-step explanation:

((n x 5 + 3.5) ÷ 2) -7.6 = 6.65

( 5n + 3.5) ÷ 2 = 14.25

5n + 3.5 = 28.5

5n = 25

n = 5

Which number is rational?
o 22
O 16

Answers

Square root of 16 because it equals to 4 which is a rational number

Area of circle with 7.1km rounded to the nearest tenth

Answers

Answer:

I'm pretty sure it's just 7.0 because seven is the nearest 10th because it's only .1

Please please help this is algebra:(

Answers

Answer:
X1=2,x2=6
Instructions:
Make sure you put the 1 and 2 underneath the x’s

Angle of a triangle measures 115° the other two angles are in the ratio of 4:9 what are the measures of those two angles

Answers

Answer:

20, 45

Step-by-step explanation:

A triangle has 180 degrees interior angle measure. One angle measure 115 so that means the other two angles  must add up to 65.

The remaning angles form a ratio of 4:9. This means we must split 65 into a ratio of. 4:9

A ratio partition parts of something. We can add the ratio intergers to find it full length.

4+9=13.

Divide 65/13=5.

Multiply 5x4 and 5x9 serpately.

We get 20 and 45

What is the remainder in the synthetic division problem below?
1|4 6 -3
A. 3
B. 7
C. 5
D. 9

Answers

The correct option is (b) i.e. In the given synthetic division, the remainder will be 7.

What is Remainder ?

The remainder is what "remains" after an activity is finished, as its name implies. In mathematics, it is impossible to divide 17 by 3 precisely. The leftover after division is the number 2, which is set aside.

Given : 1   |    4 6 -3

If we solve it further, we get

                               1   |    4 6 -3

                                   |        4  10

                                   |    4 10  7

Steps :

firstly we will write 4 as it is .

we will multiply 1 by 4 and write it in the second place, then we will add 6 and 4.

Similarly, we will multiply 1 by 10 and write it in the third place, then we will add -3 and 10 and finally get 7 as residual.

here, after solving, we get 7 in the end which is set aside.

So, the remainder will be 7.

Hence, the correct option is (b).

To learn more about Synthetic division, visit the link:

https://brainly.com/question/24662212

#SPJ1

Observa las siguientes imágenes formadas por círculos:

Figura 1 (un circulo) Figura 2 (5 círculos)

-¿Cuántos círculos tendrá la Imagen 10?
-¿Cuántos círculos más tendrá la imagen 12 respecto de la imagen 7? ¿Puedes saberlo sin necesidad de encontrar la cantidad de círculos de cada imagen? ¿Cómo?

Answers

1.En 10 figuras habrá 37 puntos si te fijas en las imágenes lo único que hace es agregar 4 puntos a cada uno como la tercera imagen tiene 9 puntos hize 9 + 7x 4= 37
2.la imagen 12 tendrá 45 puntos y la 7 tendrá 25 puntos
La diferencia de puntos entre la figura 7 y 12 serán seran 20 puntos
-si lo pude saber sin la necesidad de encontrar la cantidad de los círculos de las imágenes porque cada ves vamos agregando 4 puntos

Veremos que en la imagen 10 hay 37 circulos, y la diferencia entre las imagenes 12 y 7 es de 20 circulos.

¿Como encontrar el patrón?

Primero, debemos contar la cantidad de circulos que tenemos en las imagenes mostradas.

En la primera, tenemos 1 circulo.En la segunda, hay 5 circulos.En la tercera, hay 9 circulos.En la cuarta, hay 13 circulos.

Entonces podemos ver que en cada imagen se agregan 4 circulos, es decir tenemos una secuencia aritmetica, de tal forma que la imagen número N tendremos:

[tex]C_N = 1 + (N - 1)*4[/tex]

Entonces, cuantos circulos hay en la imagen 10? para ver eso reemplazamos N por 10.

[tex]C_{10} = 1 + (10 - 1)*4 = 37[/tex]

¿Cuántos círculos más tendrá la imagen 12 respecto de la imagen 7?

Para ver esto calculamos:

[tex]C_12 - C_7 = (1 + (12 - 1)*4) - (1 + (7 - 1)*4) = 11*4 - 6*4 = 20[/tex]

Es decir, la image 12 tiene 20 circulos más que la imagen 7.

Sí quieres aprender más sobre secuencias, puedes leer:

https://brainly.com/question/7882626

3.14 times 16 divided by 3

Answers

Answer:

The answer is 16.746667

Step-by-step explanation:

1) Simplify 3.14 × 16 to 50.24.

[tex]50.24 \div 3[/tex]

2) Simplify 50.24 ÷ 3 to 16.746667.

[tex]16.746667[/tex]

Therefor. the answer is 16.746667.

equivalent to 0.13
?

Answers

Answer:

13/100 or 13% is equivalent to 0.13

Step-by-step explanation:

hope this helps

Please answer correctly and no links pls

Answers

Answer: 13.) 49,  14.) 64

Step-by-step explanation:

7x7=49, 8x8=64

Find the area of a regular hexagon inscribed in a circle with a radius of 6 feet. Round to the nearest tenth.
93.5 feet^2
187 feet^2
46.8 feet^2
102.3 feet^2

Answers

Answer:

93.5ft

Step-by-step explanation:

Complete the factorization of 3x2 – 5x + 2
.


Answers

The answer is 3x2-5x+2

In a population of adults the proportions of people in various marital status are: Single:35%, Married: 60%, Divorced: 5%. A person is selected at random. If that person is not divorced find the probability that he or she is single.

Answers

Answer:

7/20 0r 0.35

Step-by-step explanation:

Probability of been single = percentage of single adult / sum of percentages

sum of percentages = 35 + 60 + 5 = 100

35/100 = 7/20 or 0.35

what is the radius and diameter of a circle that has 16cm​

Answers

Answer:

8 cm

Step-by-step explanation:

If the 16 cm is the diameter then the radius is 8 cm. To find the radius of a circle you simply divide two by the diameter. 16 ÷ 2 = 8

which set of ordered pairs is a function?

Answers

Answer:

I believe the third option is correct!

{(-5,1), (-3,2), (-1,3), (1,4), (3,5)}

Hope this helps!

What is the value of the expression below? 8 + 24 / 2 X 6 - 4

the answer is 76 but i just need to know the step by step explanation ​

Answers

8 + 24 / 2 X 6 - 4

following order of operations divide 24 by 2:

8 + 12 x 6 -4

Multiply 12 by 6:

8 + 72 -4

Add 8 and 72:

80-4

Subtract to get 76

Simplify the expression:
2(2 + 4k)

Answers

12k is your answer
Brainliest would be nice
Simplify the expression
2(2+4k)
(4+8k) = 12k
2(2+4k) = 12k

You have an ice cream cone that is 6 inches tall with a radius of 2 inches. The cone is completely filled with ice cream. There is also a spherical scoop of ice cream on top of the cone with a radius of 3 inches. How much ice cream do you have total in terms of \piπ?

Answers

get the exact answer from bjisbs.net

please help!!!!!!!


will mark brainlist

Answers

Answer:

It would be A

Step-by-step explanation:

when you rotate Clockwise goes -> Counterclockwise goes <-

So you want to go -> so we are going Clockwise because that brings us to the "square" that DOG is in and when you do CAT is still 2 spots farther to the right from DOG so you want to go 2 to the left.

CAT:

when you rotate it clockwise 90 degrees

C goes at  (0,6)

A goes at (4,-6)

T goes at (2, -2)

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