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
PIT_PIT [208]
3 years ago
9

Widget Wonders produces widgets. They

Mathematics
1 answer:
navik [9.2K]3 years ago
7 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
The length of a rectangle is 4.9 cm more than 4 times the width. If the perimeter of the rectangle is 88.8 cm, what
Kamila [148]

Answer:

24.9 by 5.

Step-by-step explanation:

4 0
3 years ago
Justin, Cam, and Ben are playing a board game where exactly one player will win. Ben estimates that Justin has a 20%, percent ch
stira [4]

Answer:

30%

Step-by-step explanation:

If Justin has a 20% chance and Cam has a 50% chance that adds up to 70%

But you need to get to 100% so all you do is

70 - 100 = 30

30%

4 0
2 years ago
Why can you use the constant of proportionality with any representation?
pantera1 [17]

Answer:

  1. The number k is called the constant of proportionality. One important way of thinking about this constant k is that it tells us how much y increases by if we increase x by exactly 1. to express that y is directly proportional to x.
3 0
2 years ago
Aina must choose a number between 61 and 107 that is a multiple of , 23, and 9 .
Sholpan [36]
The answer is 86. Hope this helps.
7 0
3 years ago
A. Find a power function that models the data below.
zalisa [80]

Using Visual inspection, the model which fits the data in the distribution better is the power function.

The power and linear functions can of the data can both be modeled using technology,

<u>Using Technology</u> :

The power function in the form y = Ax^{B} which models the data is 1.926x^{1.662}

The linear function in the form y = Bx + A which models the data is y = 7.429x - 8.333

  • Where A = intercept and B = slope

  • From the model, correlation coefficient given by the power and linear models are 0.999 and 0.986 respectively.

  • Hence, the power model is a better fit for the data than the linear model.

Therefore, Inspecting the models visually, the power function fits the data better as the points on the curve are closer to the regression line than on the linear model.

Learn more :brainly.com/question/18405415

6 0
2 years ago
Other questions:
  • the time t required to cut the grass in a park varies inversely as the number of workers cutting the grass w. If 6 workers can c
    6·1 answer
  • Which set of line segments could create a right triangle? 5, 6, 11 5, 9, 10 5, 13, 18 5, 12, 13
    15·2 answers
  • Sabah has $450 to pay for college textbooks. She expects to pay about $75 per book. Her friend told her that 4 of them can be ch
    14·2 answers
  • Solve tan(3x)=1 if -pi≤x≤pi.
    6·2 answers
  • Name some advantages and disadvantages of the graphing method and the algebraic method when determining solutions for linear fun
    8·1 answer
  • A gallon of water weighs 8 1/3 pounds. how much does 7 gallons weigh
    12·2 answers
  • -100/37 times (- 0.37)=?<br> ?=
    8·1 answer
  • PLEASE PLEASE<br> I BEG YOU...
    9·2 answers
  • I need the answer asap and the demonstration please
    15·2 answers
  • I’m about to give 20 points per each question answered correctly, I’m gonna ask 10, check my page
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!