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
elena-14-01-66 [18.8K]
2 years ago
8

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 $16 to produce 2 widgets, $18 to produce 4 widgets, and $48 to produce 10 widgets. find the total cost of producing 6 widgets.
Mathematics
1 answer:
AnnyKZ [126]2 years ago
5 0

The total cost of producing 6 widgets is $24 if the company also discovered that it costs $16 to produce 2 widgets, $18 to produce 4 widgets, and $48 to produce 10 widgets.

<h3>What is a quadratic equation?</h3>

Any equation of the form \rm ax^2+bx+c=0  where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

As we know, the formula for the roots of the quadratic equation is given by:

\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}

Let's suppose the quadratic function is:

c(x) = ax² + bx + c

Plug c(x) = $16

x = 2

16 = 4a + 2b + c ...(1)

Plug c(x) = $18

x = 4

18 = 16a + 4b + c ...(2)

Plug c(x) = $48

x = 10

48 = 100a + 10b + c ...(3)

After solving equations (1), (2), and (3) by substitution method:

a = 0.5

b = -2

c = 18

c(x) = 0.5x² -2x + 18

Plug x = 6 widgets:

c(6) = 0.5(36) - 12 + 18 = $24

Thus, the total cost of producing 6 widgets is $24 if the company also discovered that it costs $16 to produce 2 widgets, $18 to produce 4 widgets, and $48 to produce 10 widgets.

Learn more about quadratic equations here:

brainly.com/question/2263981

#SPJ1

You might be interested in
Line p passes through A(-2, -4) and has a slope of -1/2. What is the standard form of the equation for line p?
ValentinkaMS [17]

Answer:

2

Step-by-step explanation:

2+2

7 0
3 years ago
Predict how much money can be saved without having a negative actual net income.
satela [25.4K]

$170 can be saved resulting in an actual net income of $0.

6 0
3 years ago
Mr. Golv is practicing his jiu jitsu drill where he does 5 guard passes and 2 kimura arm locks. A guard pass takes G seconds, an
agasfer [191]
1.)C
2.)A
3.)B
4.)B
5.)A
4 0
3 years ago
Read 2 more answers
You want to pick two winning raffle tickets out of a hat and you are given two chances. Any blue
Fittoniya [83]

Answer:

20% chance

Step-by-step explanation:

20 is the whole

5 times 20 is 100

5% = 1 ticket

5% times 4 is 20%

7 0
3 years ago
A cylindrical gasoline tank is 50 ft high and has diameter 70 ft. How many gallons of gasoline will the tank hold if there are 7
Schach [20]
You add 70 + 50 then you multiply it by 7.5 and you get, 900 gallons.
4 0
3 years ago
Other questions:
  • Simplify 174 over 414
    13·2 answers
  • The Eiffel Tower is 984 feet. A model of the tower is 24 inches tall. What is the ratio of the height of the model to the height
    14·1 answer
  • 45 miles per hour to miles per minute
    12·2 answers
  • What is the surface area of the sphere?
    11·2 answers
  • PLEASE HELP PLEASE PLEASE DUE TONIGHT I HAVE NO IDEA HOW TO DO THIS
    15·1 answer
  • You spin the spinner and flip a coin.
    10·1 answer
  • PLZ HELP Due in an hour!
    10·1 answer
  • Solve 15=3n+6p, for n
    10·2 answers
  • You get 10 points❄️ Plz plz plz is math
    8·2 answers
  • What is the smaller and larger x value of the x-intercept for y=x2-5
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!