1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Ganezh [65]
3 years ago
10

The company also discovered that it costs $15.50 to produce 3 widgets, $23.50 to produce 7 widgets, and $56 to produce 12 widget

s. What is the total cost producing 5 widgets?
Mathematics
2 answers:
Lelechka [254]3 years ago
7 0
Theres not really any way to tell because the cost per widget is highest when making three, lowest when making 7, but then increases when making 12. If the cost didnt rise when making 12 and instead followed the trend of the more widgets you make, the cheaper it is per widget
fgiga [73]3 years ago
3 0

Find the total cost of producing 5 widgets. Widget Wonders produces widgets. They have found that the cost, c(x), of making x widgets is a quadratic function in terms of x. The company also discovered that it costs $15.50 to produce 3 widgets, $23.50 to produce 7 widgets, and $56 to produce 12 widgets.
OK...so we have
a(7)^2 + b(7) + c = 23.50 → 49a + 7b + c = 23.50 (1)
a(3)^2 + b(3) + c = 15.50 → 9a + 3b + c = 15.50 subtracting the second equation from the first, we have
40a + 4b = 8 → 10a + b = 2 (2)
Also
a(12)^2 + b(12) + c = 56 → 144a + 12b + c = 56 and subtracting (1) from this gives us
95a + 5b = 32.50
And using(2) we have
95a + 5b = 32.50 (3)
10a + b = 2.00 multiplying the second equation by -5 and adding this to (3) ,we have
45a = 22.50 divide both sides by 45 and a = 1/2 and using (2) to find b, we have
10(1/2) + b = 2
5 + b = 2 b = -3
And we can use 9a + 3b + c = 15.50 to find "c"
9(1/2) + 3(-3) + c = 15.50
9/2 - 9 + c = 15.50
-4.5 + c = 15.50
c = 20
So our function is
c(x) = (1/2)x^2 - (3)x + 20
And the cost to produce 5 widgets is = $17.50
You might be interested in
2/5 divided 1/2 as a unit rate
Yanka [14]

Answer:

2/5 divided 1/2 as a unit rate .what do you mean

3 0
4 years ago
Read 2 more answers
A. Is the statement​ "Every elementary row operation is​ reversible" true or​ false? Explain.
Tatiana [17]

Answer:

This statement is "TRUE".

Step-by-step explanation:

Every elementary row operation is reversible. You can get the reverse answer  by multiplying by a constant or by multiplying by its inverse. You can  add one row to another row and subtract row 1 from row 2 to get it back.

3 0
3 years ago
Inez and Joel work at a store that sells
faltersainse [42]

Answer:

2 hrs and 32 mins

Step-by-step explanation:

Step 1. Because Inez worked more we are going to start by subtracting the the minutes. 23-51= -28.

Step 2. Now we move on to the hours. 7-4= 3. Know we know that the hour time is going to be three. But wait!

Step 3. Because we can't have negative numbers, we need to subtract some more. 60-28= 32. Now I know that my minutes will be 32.

Step 4. But because we used a negative number we have to subtract another hour from our time.

Answer: 2 hrs and 32 mins

Hope this helps!

7 0
3 years ago
The table shows the mileages x (in thousands of miles) and the selling prices y (in thousands of dollars) of several used automo
Nataly_w [17]

Answer:

ŷ = -0.18363X + 19.71681

-0.9685

Step-by-step explanation:

Given the data:

Mileage, x: 22 14 18 30 8 24

Price, y: 16 17 17 14 18 15

Using the online regression calculator :

The regression equation obtained is :

ŷ = -0.18363X + 19.71681

Where ;

y = predicted variable

- 0.18363 = slope or gradient

X = predictor variable

19.71681 = intercept

The correlation Coefficient R = -0.9685

This signifies a strong negative relationship between the x and y variable.

3 0
3 years ago
Gardeners at seed stop are planting seeds in 12-row seed trays. They plant 8 seed in each row. How many plants will there be in
ladessa [460]
You multiply 8 and 12
3 0
3 years ago
Other questions:
  • 20 POINTS!!<br> Show your work, explain how to do solve it
    14·2 answers
  • Why do we represent linear equations in more than one form?
    15·1 answer
  • Find the mode of the following set of numbers 1,1,3,6,8,9,9,9,4,3,3,9
    9·2 answers
  • Is a= 3-√5 fins the value of a+1/a
    15·1 answer
  • I do not understand how you can do this without more information.
    5·1 answer
  • Your school is raising money for a non-profit organization. The local chapter of the non-profit organization keeps 80% of the mo
    5·1 answer
  • PLZZZ help with this its pretty simple!
    5·1 answer
  • How would I solve <img src="https://tex.z-dn.net/?f=8%5E%7B3%2F2%7D%20%2A%202%5E%7B3%2F2%7D" id="TexFormula1" title="8^{3/2} * 2
    7·1 answer
  • Solve the equation
    8·1 answer
  • A dot plot titled Number of Hours Spent on Homework goes from 1 to 6. There is 1 dot above 1, 5 dots above 2, 6 dots above 3, 4
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!