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
Can you please belp me solve 100÷ 4,031.2
kolezko [41]

This might be wrong but I got .024806509

I don't know if you wanted it rounded but I hope this might have helped.

6 0
3 years ago
Read 2 more answers
Please help!!!!!!<br><br> y=[?]°
coldgirl [10]

Answer:

Since there are already 2 angles shown, which are 48 and 90 (indicated by the square in the bigger triangle, we can set up an equation.

48 + 90 + y = 180

138 + y = 180

-138 + 138 + y = 180 - 138

y = 42°

7 0
3 years ago
It’s simple I swear!!! what is the square root of 25 times the square root of 9
goldenfox [79]

Answer:

15

Step-by-step explanation:

1st multiply the numbers: 25 × 9 = 225

2nd factor the number: 225 = √15^2

3rd apply radical rule: √15^2 = 15

Hope I helped :)

6 0
3 years ago
Read 2 more answers
Real word problems that have more than one answer can be described by relations?
AleksandrR [38]
Yes that is correct!
3 0
3 years ago
I REALLY NEED THE HELP ASAP PLEASE
scoundrel [369]

Answer:

X=-52

Step-by-step explanation:

-4(X+10)-6=-3(x-2)

-4x-40-6=-3x+6

-4x+3x=6+46

-x=52

X=-52

6 0
3 years ago
Read 2 more answers
Other questions:
  • Can somebody help me please
    12·1 answer
  • Please help me with this math problem.
    5·1 answer
  • Change these times to the 12-hour clock.
    6·1 answer
  • [Ignore the 2 problems] I need help on #9
    6·1 answer
  • What are the solutions to the equation 0 = x2 – x-6? Select two options
    6·1 answer
  • .......Help Please......
    12·1 answer
  • Y = 2x + 3<br> y = -3x + 3
    13·1 answer
  • Find the volume of the following cylinder in cubic inches
    7·1 answer
  • Question 7 of 22
    11·1 answer
  • Which of the following statement is true ?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!