The manager of a furniture factory finds that it costs $2400 to manufacture 60 chairs in one day and $4800 to produce 260 chairs in one day.
A) Express the cost C (in dollars) as a function of the number of chairs x produced, assuming that it is linear.
B. What is the slope of the graph? What does it represent?
C) What is the y-intercept of the graph? What does it represent?

Answers

Answer 1

Answer:

C(x) = 12x + 1680

Slope = 12

Intercept = 1680

Step-by-step explanation:

Given that:

X1 = 60 chairs ; y1 = 2400

X2 = 260 chairs ; y2 = 4800

Obtain the slope ; m

m = y2 - y1 / x2 - x1

m = 4800 - 2400 / 260 - 60

m = 2400 / 200

m = 12

Using the point slope relation:

y - y1 = m(x - x1)

y - 2400 = 12(x - 60)

y - 2400 = 12x - 720

y = 12x - 720 + 2400

y = 12x + 1680

C(x) = 12x + 1680

From the general slope intercept equation :

y = mx + c

m = slope ; c = intercept

Hence,

C(x) = 12x + 1680

Slope = 12

Intercept = 1680


Related Questions

Which of the binomials below is a factor of this trinomial?
3x2 + 19x+6
O A. 3x + 1
O B. 3x - 1
O C. 3x+6
O D. 3x-6

Answers

Answer:

ccccccc.

Step-by-step explanation:

c.cccccccc.ccccccccccccccccccccc

Christina is buying candy for her and her friends at the deli. She buys 6 bags of sour patch kids for $1.19each. How much does Christina spend on candy?

Answers

$7.14 I hope this helps.

Answer:

She spends $7.14

Step-by-step explanation:

You would multiply in this question and you would multiply $1.19*6 and that will give you your product of $7.14.

Which of the following is NOT a reason that Americans are moving to the South and West. A.to find jobs in factories. B.to find jobs in office. C.to find farming jobs. D.to find milder weather

Answers

Answer:

B

Step-by-step explanation:

Hope this helped! Please let me know if I'm wrong!

B

Explanation: people were not looking for office jobs, because factory and mills were the jobs available that were easy to acquire and did not to be skilled at it.

HELP PLEASE WILL GIVE BRAINLST I WILL DO ANYTHINGGGGGGGGGGGGG

Answers

Answer: B) 31.4 inches

Step-by-step explanation:

5 x 2 = diameter

10 x 3.14 (pie)

= 31.4

Answer: c) 31.4 inches

Step-by-step explanation:

5 x 2 = diameter

10 x 3.14 (pie)

= 31.4

Simplify the expression:
8 ( 5w + 7) + 9 (4w - 7)

Answers

Answer:

40

Step-by-step explanation:

Answer: 1.Remove any grouping symbol such as brackets and parentheses by multiplying factors.

2.Use the exponent rule to remove grouping if the terms are containing exponents.

3.Combine the like terms by addition or subtraction.

4. Combine the constants

Step-by-step explanation:

[tex]8(5w+7) + 9 ( 4w- 7)[/tex]

The first thing we do is distribute

[tex]8(5w+7)& 9(4w-7)[/tex]

We distribute what is outside the parenthesis to everything that is inside the parenthesis

so for 8(5w+7) we do [tex]8x5w = 40w[/tex] and [tex]8x7 = 56[/tex]

so for 9  So  9(4w−7) turns into 36w+63

so now we have 40w+56+36w+−63

now combine like terms

(40w+36w)+(56+−63)=?

Find the measures of the interior angles x

Answers

( sorry for commenting, I need points to ask questions I dearly apologize!)

On the board, your teacher shows an example of finding the range.
One of the numbers is erased, leaving what is shown.

Which of the following could NOT be true?
A: The missing number is 11
B: The missing number is 20
C: The missing number is 25
D: The missing number is 30

Answers

The answer is C: the missing number is 25

Answer:

A: The missing number is 11

Step-by-step explanation:

Four friends shared
1
2
of one carton of orange juice and
1
4
of another carton of apple juice.
What fraction of each carton of juice did each friend get?

Answers

Answer:

1/16

Step-by-step explanation:

For 1/4 you multiply the four with the four friends. And you'll get 4x4. You multiply it and get 16. Same as you for it with 1/2. 4x1/2=? Try it out! Hope this helps!

PLZ HELP FASt
flvyofgoyv7​

Answers

Answer:

It's a function, none.

good luck, i hope this helps :)

Will give brainlest...............

Answers

Answer:

i 5 x 45

Step-by-step explanation:

HELP ME WITH THSI PROVLEM PLEASE MATH PROBLME

Answers

Answer:

4W=25

providing the distances from the hanger wire to the weights are equal.

Step-by-step explanation:

Help I don't get this

Answers

1. 3(x-5)(x+5)
Factor out 3 to get 3(x^2-25)
Then factor (x^2-25)

2. 2a(2b+9)
Factor out 2 from the equation

Step-by-step explanation:

13. 3(x - 5)(x + 5)

14. 2a(2b + 9)

Select all the expressions that could be used to find the greatest number of ounces of ice cream each container can hold.
64(1.15)
64(1.015)
64(1.5)+64
64-64(1.5)
64(0.015)-64
64+64(0.015)


Pleaseee help due in five minutes

Answers

Answer:

Step-by-step explanation:

the expression is 64+64*(0.015)

64 is the container and 64*0.015 is the margin of error

Find the LCM Of 12x^5 y^4z,15x^7z^3 and,21yz^9

Answers

Answer:

420x^7 y^4  z^9

Step-by-step explanation:

I put spaces between some so that you know that no exponent has a variable as its power and it is 1 whole polynomial.

Please Mark Me Brainliest

A customer makes a purchase of $285 and uses a MCVS credit card. What percent will the
bank charge the store?
A. 4%
B. 4.5%
C. 5%
D. 6%

Answers

The answer is.l definitely C. You’re welcome

Find the solutions of the quadratic equation 5x2- x+ 6 = 0.

Answers

The answer is

X= -2/3


Your electrical bill states that you used 870 kilowatt-hours of energy in January determine your total electrical energy use in joules?

Answers

Answer:

3,132,000,000

Step-by-step explanation:

Answer:

3132000000 joules

Step-by-step explanation:

Andrew wrote a short story book in 7 days. The book has 47 pages. How many pages did he write each day? Show your work.​

Answers

Answer:

6.71428571 or 6 remainder 5

Step-by-step explanation:

1/2x = 10
X=
4x = 20
X-

Answers

Answer:

if half of x equals 10, then x has to be 20 on the first one

if you are saying on the second one a quarter of  x is 20, then x has to be 5

Step-by-step explanation:

if i misunderstood the question i will edit my answer

8. Chelsea ate 0.2 of a pound of
chocolate cake at her birthday
party. Her friend Emily ate more
than her. Which decimal is more
than 0.2?
A.0.3
B. 0.19
C.0.11

Answers

a. vhysyfjgjjchddyyf if if hjd

a I believe? If I get it wrong I’m so sorry!

Michelle wants to save $150 for a trip to Six Flags. If she saves $12 each week, how many weeks will it take her to save enough money for the trip?


can someone help me also show my work 35 points!

Answers

12.5 weeks. You take the do 150 divided by 12 to get 12 in a half

Answer;

13 weeks

Step-by-step explanation:

If she gets 12$ everyday you need to divide 150 by 12 which makes 12.5 if you say 12 weeks it makes below 150 and 12.5 is not a week so 13 weeks

What is the answer to 1014.16667 rounded to the nearest tenths

Answers

Answer: 1014.2

Step-by-step explanation: you look to the right of 1 and if it is 5 or greater you round up. If it is 4 or less you keep it the same number as it is.

A fair coin is tossed three times and the events AA, BB, and CC are defined as follows: A:{A:{ At least one head is observed }} B:{B:{ At least two heads are observed }} C:{C:{ The number of heads observed is odd }} Find the following probabilities by summing the probabilities of the appropriate sample points (note that 0 is an even number):

Answers

This question is incomplete, the complete question is;

A fair coin is tossed three times and the events AA, BB, and CC are defined as follows: A:{A:{ At least one head is observed }} B:{B:{ At least two heads are observed }} C:{C:{ The number of heads observed is odd }} Find the following probabilities by summing the probabilities of the appropriate sample points (note that 0 is an even number): a) P(B) =, b) P(A or B) =

Answer:

a) probability of B is 0.5

b) probability of (A or B)  is 0.875

Step-by-step explanation:

Given the data in the question;

The coin is tossed 3 times.

so let S represent the sample space with the probabilities;

S = [ HHH, HHT, HTH, THH, HTT, THT, TTH, TTT ]

so n(S) = 8

now let A be the set where at least one head is observed;

A = [ HHH, HHT, HTH, THH, HTT, THT, TTH, ]

n( A) = 7

let B be the set where at least two head is observed;

B = [ HHH, HHT, HTH, THH, ]

n(B) = 4

let C be the set where number of heads are odd;

C = [ HHH, HTT, THT, TTH ]

n(C) = 4

so

a) P(B) = ?

probability of B will be;

P(B) = n(B) / n(S)

we substitute

P(B) = 4 / 8 = 0.5

Therefore, probability of B is 0.5

b) P(A or B) = ?

the favorable number of cases to event A∪B is

A∪B = [ HHH, HHT, HTH, THH, HTT, THT, TTH, ]∪[ HHH, HHT, HTH, THH, ]  

A∪B = [ HHH, HHT, HTH, THH, HTT, THT, TTH, ]

n(A∪B) = 7

Now the probability of A or B will be

P( A∪B ) = n(A∪B) / n(S) = 7/8 = 0.875

Therefore, probability of (A or B)  is 0.875

3. A barrel contained 60 gallons of water. Water leaked out of the barrel at a rate of 5
gallons every 3 days,
At this rate, how many days did it take for all 60 gallons of water to leak out of the
barrel?

Answers

Answer:

J. 36 Days

Step-by-step explanation:

60÷5 = 12

3×12 = 36


A company has recently been hiring new employees. Today the company has 34% more employees than it did a year ago. If there are currently
33,500 employees, how many employees did the company have a year ago?


Answers

Answer:

22110 employees.

Step-by-step explanation:

33500 decrease 34% =

33500 × (1 - 34%) = 33500 × (1 - 0.34) = 22110

Answer:

The company had 22,110 employees a year ago.

Step-by-step explanation:

34% of 33,500 is 11,390

33,500 - 11,390 = 22,110

Kevin has 1,066 trading cards. Each album holds 26 cards. How many albums does Kevin need to hold all his cards?

Answers

Answer:

41

Step-by-step explanation:

Ok so you would divide 1,066 by 26 which would equal 41. Have a great day!

Wilma has 28 coins, all nickels, and dimes worth $2.05. How many nickels does she have?

Answers

Answer:

15 nickels and 13 dimes

Step-by-step explanation:

5n + 10d = 205 cents

n + d = 28

n = 28-d

5(28-d) +10d = 205

140 -5d + 10d = 205

5d = 65

d = 13

n = 28-d = 28-13 = 15

5n = 5(15) = 75

10d = 10(13) = 130

75+130=205

15 nickels and 13 dimes

What is AC? Giving brainliest

Answers

4/AC = AC/9
AC ^2 = 36
AC = 6

Find the missing value

Answers

Answer:i think it would be 349

Step-by-step explanation:

Add the 3 numbers that you know.

Multiply the mean of 73 by 5 (numbers you have).

Add the numbers you are given.

Subtract the sum you have from the total sum to find your missing number.

Two identical rubber balls are dropped from different heights. Ball 1 is dropped from a height of 16 feet, and the ball 2 is dropped from a height of 144 feet. Write and graph a function for the height of each ball. Then use the graphs to tell when each ball will reach the ground.

Answers

Answer:

Two identical rubber balls are dropped from different heights. Ball 1 is dropped from a height of 181 feet, and ball 2 is dropped from a height of 238 feet. Write a function for the height of each ball.

h1(t) = -16t^2 + 181

h2(t) = -16t^2 + 238

When does ball 1 reach the ground? Round to the nearest hundredth. seconds

Solve: -16t^2+181 = 0

-16t^2 = -181

 

t^2 = 11.3125

t = 3.3634 seconds

-----------------

When does ball 2 reach the ground? Round to the nearest hundredth. seconds

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