Alexander is in the business of manufacturing phones. He must pay a daily fixed cost to rent the building and equipment, and also pays a cost per phone produced for materials and labor. Let CC represent the total cost, in dollars, of producing pp phones in a given day. A graph of CC is shown below. Write an equation for CC then state the yy-intercept of the graph and determine its interpretation in the context of the problem.

Answers

Answer 1

The linear function that defines C is given as follows:

C(x) = 400 + 100x.

The y-intercept of 400 represents that the fixed cost of producing zero phones on a day is of $400.

What is the linear function?

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which:

m is the slope, representing the change in the output variable y when the input variable x is increased by one.b is the y-intercept, representing the value of the output variable y when the input variable x has a value of zero, meaning that it is the value of y at which the function crosses the y-axis.

From the image given at the end of the answer, the values of these parameters are given as follows:

m = 100, b = 400.

The y-intercept of 400 are the operating costs of the company, as they have to be paid even when zero phones are produced, and thus the equation is given as follows:

y = 100x + 400.

Missing Information

The graph is given by the image shown at the end of the answer.

More can be learned about linear functions at https://brainly.com/question/24808124

#SPJ1

Alexander Is In The Business Of Manufacturing Phones. He Must Pay A Daily Fixed Cost To Rent The Building

Related Questions

Solve for x.
2) Fe
5x - 1
10
• H
G
13x + 1

Answers

9514 1404 393

Answer:

  x = 1

Step-by-step explanation:

The segment lengths on a line will add:

  FG +GH = FH

  (5x -1) +(10) = (13x +1)

  8 = 8x . . . . . . subtract 5x+1 from both sides

  1 = x . . . . . . . . divide by 8

if a kite is 75 percent off what is the sale price of a kite originally priced at $8

Answers

Answer:

2

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

8*.75=6

6 dollars off

A model of a​ tractor-trailer is shaped like a rectangular prism and has a width of ​3in., a length of ​in., and a height of 8 in.. The scale of the model is 1:33 . How many times the volume of the model is the volume of the actual​ tractor-trailer?

Answers

Answer:

35,937 times

Step-by-step explanation:

Given the following :

Width = 3 inches

Length = 7 inches

Height = 8 inches

Scale of model = 1:33

How many times the volume of the model is the volume of the actual​ tractor-trailer?

Volume of model:

Volume of rectangular prism :

Length * width * height:

Volume = (3 * 7 * 8) = 168 inches

Volume of actual trailer :

(3 * 33) * (33 * 7) * (33 * 8) = 6037416 inch³

Hence,

6037416 / 168 = 35,937 times

What is the solution: 9 –4x = –7x + 3 + 2x

Answers

Answer:

x=-6

Step-by-step explanation:

9-4x=-7x+3+2x

9-4x=-5x+3

9+x=3

x=-6

Answer:

Answer is (-6).

Please mark as the Brainliest!!!!!!!!!!

Step-by-step explanation:

The Empire State Building is 1250 feet tall . Maria wants to make a model that has a scale of 1/4 foot = 50 feet . How tall will her model be ?

Answers

Answer:

6 1/4 feet   or   6.25 feet

Step-by-step explanation:

First,, we would do 1250/50 to get 25. This is the amount that we would multiply 1/4 by, so we can get 6.25. So her model will be 6 feet and 1/4 of a foot. :)

hope this helped!! <3

Answer:

Step-by-step explanation:

6 1/4

Graph the linear function d(x) = - 1/2x - 3

Answers

slope: -1/2

y-intercept: (0,3)

x: -6 , 0

y: 0 , -3

what is the 1st point and 2nd point?

Answers

9514 1404 393

Answer:

  first point: (-6, -1)

  second point: (-2, -2)

Step-by-step explanation:

Compare the equation given to the "slope-intercept" form:

  y +1 = -1/4(x +6)

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

We see that k = -1, m = -1/4, h = -6.

So, the equation tells us the given line has a slope of -1/4 and goes through point (-6, -1).

The slope of -1/4 means that the line will have a change in y of -1 when the change in x is 4. So, we can find another point by adding (4, -1) to the point we already know is on the line: (-6, -1).

Second point: (-6, -1) +(4, -1) = (=6+4, -1-1) = (-2, -2).

First and second points could be (-6, -1) and (-2, -2).

A train left a station at 8:00 am going at 45 mph. A second train left the station at 10:00 am going in the same direction at 55 mph. At what time will the second train catch up with the first train?

Answers

Answer: At 5:00 pm the second train catch up with the first train.

Step-by-step explanation:

Let t = Time taken by first train.

Time taken by second train = t-2

Speed of train 1 = 45 mph

Speed of train 2 = 55 mph

Since, Distance = speed x time

Then, [tex]45t= 55(t-2)[/tex]

[tex]\Rightarrow\ 45t= 55t-110[/tex]

[tex]\Rightarrow\ 55t-45t=110= \\\\\Rightarrow\ 10t=110\\\\\Rightarrow\ t=11[/tex]

After 11 hours, time = 8+11 =17(12+5)i.e. 5 : 00 pm.

Hence, At 5:00 pm the second train catch up with the first train.

Last week, Angelo deposited a $800 check from his restaurant job and spent $500 on a clarinet. Which integer represents the change in how much money Angelo had?

Answers

Answer:

The change in how much money that Angelo had is $300.

Step-by-step explanation:

Since Angelo deposited a $800 check, which implies that he would have $800 at maturity of the check.

He spent $500 on a clarinet from the $800.

So that,

The change in how much money Angelo had = amount deposited - amount spent on the clarinet

                                                              = $800 - $500

                                                              = $300

Therefore, the change in how much money that Angelo had is $300.

6.372 divided by 6 ?

Answers

Answer: 1.062

Step-by-step explanation:

Answer:

1.062

Step-by-step explanation:

mark brainlist plz thx

Which equation represents the horizontal line passing through (-1,2)?
A. x = -1
B. y = -1
C. x = 2
D. y = 2

Answers

The answer is :

D. y = 2

Angel is going to a carnival that has games and rides. Each game costs $1.75 and each ride costs $5. How much would Angel have to pay if he wanted to play 9 games and go on 4 rides? How much would Angel have to pay if he wanted to play gg games and go on rr rides?

Answers

Answer:

Total cost= $35.75

Step-by-step explanation:

Giving the following information:

Each game costs $1.75 and each ride costs $5.

First, we will structure the total cost formula:

Total cost= 1.75x + 5y

x= number of games

y= number of rides

Now, the total cost of 9 games and 4 rides:

Total cost= 1.75*9 + 5*4

Total cost= $35.75

What is -3 + ( -4) as a subtraction problem?

Answers

Answer:

-3 - 4

Step-by-step explanation:

Remove the parenthesis and the plus sign

The result of multiplying a positive by a negative sign is negative so
-3-4 = -7
Since they have Similar signs we add and put the negative !

100 Points + Brainliest! I need the slops of these 3 coordinates!

1 What is the slope of line segment PQ with coordinates P(-2,5) and Q(-1, 1)?

2 What is the slope of line segment QR with coordinates Q(-1, 1) and R(7,3)?

3 What is the slope of line segment PR with coordinates P(-2, 5) and and R(7,3)?

Answers

Answer:

Step-by-step explanation:

The formula for slope is

(y2-y1)/(x2-x1)

1. (1-5)/(-1-(-2) = -4/1 = -4

2. (3-1)/(7-(-1) = 2/8 = 1/4

3. (3-5)/7-(-2) = -2/9

what is the mean and the mode of the following numbers 10, 8, 6, 10, 4, 7, 5, and 10​

Answers

Answer:

mean = 7.5

median = 7.5

Step-by-step explanation:

mean = 10 + 8 + 6 + 10 + 4 + 7 + 5 + 10 = 60

= 60 / 8 = 7.5

Answer:

The Mean is: 7.5

The Mode is: 10

Step-by-step explanation:

Mean:

10 + 8 + 6 + 10 + 4 + 7 + 5 + 10 = 60

60 ÷ 8 = 7.5

Mode:

4, 5, 6, 7, 8, 10, 10

10 has occured twice, it is the mode.

Given: (0,-1) Slope : 2
Writh the equation of the line in y = mx + b form

Answers

Answer:

y=2x-1

Step-by-step explanation:

y=mx+b

-1=2(0)+b

-1=b

y=2x-1

A baker has 3 4 pound of sugar left in his pantry. He needs 1 8 of a pound for each batch of cookies he makes. What is the greatest number of batches of cookies the baker can make with the 3 4 pound of sugar

Answers

Answer: 6

Step-by-step explanation:

Given: Amount of sugar he has = [tex]\dfrac34[/tex] pounds

Amount of sugar is required for each batch = [tex]\dfrac18[/tex] pounds

Now, the  greatest number of batches of cookies the baker can make with the [tex]\dfrac34[/tex] pounds of sugar = [tex]\dfrac{\dfrac{3}{4}}{\dfrac{1}{8}}=\dfrac{3}{4}\times\dfrac{8}{1}[/tex]

[tex]=3\times2=6[/tex]

Hence, the greatest number of batches of cookies the baker can make = 6

Graph the linear equation.
X-3y=6

Answers

Answer:

Graphing X-3y=6 will look like this on the graph

This is a 2 step question. Answer the question using the first image and then the second question on the second image.

Answers

Answer:

see below

Step-by-step explanation:

use the tringle KLM to get the side length

use the law of sines  sin 37  =    sin 68  

            8                 KL

cross multiply: KL(sin 37) = 8 (sin 68)KL = 12.325 = GJ

side LM:

∠K + 37 + 68 = 180∠K = 75  sin 37  =    sin 75  

            8                 LM

cross multiply: LM (sin 37) = 8 (sin 75)LM = 12.84 = GH

KM = 8

KL =  12.325

LM = 12.84

solve for x:

since KM is congruent to HJKM = JH8 = 2x - 128 + 12 = 2xx = 20 / 2x = 10

4. How do you Value Education?

Answers

Answer:

its nice to get smart but boring

Step-by-step explanation:

Answer:

Well in my opinion I think that and education is very important. Without an education you can be a bum, and dont get m wrong people who are bums had an education its just without an education you might not go far in life. You wont be able to get into your favorite college or do the things tht you want to do in your future without an education!!

Step-by-step explanation:

STAY IN SCHOOL AND DONT DO BAD THINGS

jkjk you do you boo

-3, square root of 31, square root of 11, 5.5, and -60/11 in least to greatest.

Answers

Answer:

-3, sqrt of 11, -60/11, 5.5, sqrt of 31


HELPP MEEE PLEASE SO YOU CAN HELP ME GET MY ALBUMS BACK AND POSTERS AND EVERYTHING!!

Answers

Answer: i believe your correct answer is a

Step-by-step explanation:

sorry if this is incorrect but 3x 10 to the 7th power would be 30,000,000 and 1x 10 to the 8th power would be 100,000,000 therefore méxico obviously has more of a population than canada

Answer:

Canada=30,000,000

Mexico= 100,000,000

Step-by-step explanation:

I would go with C because 3x3=9 soooo yeh more then 3 would be like 4.

(im in middle school) this was easy no offence bro

-Kathryn Green

help me plzzzzzz i need help!!!!!!!!!!!!​

Answers

Answer:

okay lest see . the thing is that I can see clear the picture so . And I can see the first one

Answer:

Step-by-step explanation:

Hmmm

BRAINLIEST ANSWER!! please please help this is due today!!

BTW THERES 4 PARTS!!!

Answers

Step-by-step explanation:

Ans 3. C and D are not similar

Ans 4.less than 3

Ans 5. 3 or three

Ans 7.larger than 3

Ans 8. 3 or three

plz look these answers these all right don't see answers in the comment because those are confusing

1/2(x-4)=1/3(x+2)

pls help me :( i dont remember these

Answers

Distribute the 1/2 and 1/3 to the numbers in the parentheses 1/2x-2=1/3x+2/3
You have to multiply both sides with 6 so it would become 3x-12=2x+4, subtract two on both sides x-12=4, add 12 on both sides
X=16

Answer:

x = 16

Step-by-step explanation:

1/2(x-4) = 1/3(x+2)

Multiplying through by the LCM,6 to take off the denominators;

6 × 1/2(x-4) = 6 × 1/3(x+2)

Simplifying;

3(x-4) = 2(x+2)

3x -12 = 2x + 4

Grouping like terms;

3x - 2x = 4 + 12

x = 16

16x-10y=10
-18x-6y=6
solve it using the elimination method

Answers

16x-10y=10 and -8x-6y=6
The coefficients of x are 16 and -8. To apply elimination, these should be the same. Positives and negatives are non-issues.
Let's take the first equation...
16x-10y=10
Let's multiply both sides by 1/2...
(1/2)(16x-10y)=(10)(1/2)
8x-5y=5
Let's add this to the second equation...
-8x-6y=6
8x-5y=5
0-11y=11
The x is eliminated...
-11y=11
Let's divide both sides by -11...
(-11y)/11=11/-11
y=-1
Let's plug this into either original equation to establish the value of x. I randomly select the second...
-8x-6y=6
-8x-[(6)(-1)]=6
-8x-(-6)=6
Subtracting a negative number is identical to adding a positive number...
-8x+6=6
Let's subtract 6 from both sides...
-8x+6-6=6-6
-8x=0
x=0
Let's plug both values into the first equation to verify results...
16x-10y=10
[(16)(0)]-[(10)(-1)]=10
0-(-10)=10
10=10

List all factor pairs of the number 8. Write them in parentheses separated by comma

Answers

Answer:

(1, 8), (2, 4)

Find x and y.
-
55°

Answers

I’m confused can you explain what you need help with

I also need help with these questions also.....

Answers

Answer:

8:a

9:b

10 ?

Step-by-step explanation:

Express z 1 = − 10 3 − 10 i z 1 ​ =−10 3 ​ −10iz, start subscript, 1, end subscript, equals, minus, 10, square root of, 3, end square root, minus, 10, i in polar form. Express your answer in exact terms, using radians, where your angle is between 0 00 and 2 π 2π2, pi radians, inclusive. z 1 =

Answers

Answer:

z = 20(cosπ/6 + isinπ/6)

Step-by-step explanation:

Given the complex value

z1 = -10√3 - 10i

The polar form of the complex number is expressed as;

z = r(costheta + isintheta)

r is the modulus of the complex number

theta is the argument

r = |z1| = √x²+y²

r = √(-10√3)²+(-10)²

r = √(100(3)+100

r = √400

r = 20

theta = tan^-1(y/x)

theta = tan^-1(-10/-10√3)

theta = tan^-1(1/√3)

theta = 30°

Substitute into the polar form

z = 20(cos 30°+isin30°)

z = 20(cosπ/6 + isinπ/6)

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