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
alina1380 [7]
3 years ago
5

The quick computing company discovered that it costs 45$ to produce 2 calculators, 143$ to produce 4 calculators,and 869$ to pro

duce 10 calculators.
Find the total cost of producing 7 calculators?
Mathematics
1 answer:
telo118 [61]3 years ago
6 0
<span>Using the points (2, 45) (4, 143) and (10, 869), we can plug them into the following system of 3 equations using the y = ax^2 + bx + c format:

45 = a(2)^2 + b(2) + c
143 = a(4)^2 + b(4) + c
869 = a(10)^2 + b(10) + c

which simplifies to:

45 = 4a + 2b + c
143 = 16a + 4b + c
869 = 100a + 10b + c

Solving the system, we get a = 9, b = -5, and c = 19. Thus the equation is:

c(x) = 9x^2 - 5x + 19

If you have a TI graphing calculator, you can also enter the points by pressing Stat -> Edit and enter (2, 45) (4, 143) and (10, 869) into it. Go back and calculate the QuadReg of the points from the Calc tab and it will give you the same answer.

Now that we know the function that will produce the price of production for any number of calculators, plug in x = 7 and it will give you the price to produce 7 calculators.

c(x) = 9x^2 - 5x + 19
==> c(7) = 9(7)^2 - 5(7) + 19
==> c(7) = 441 - 35 + 19
==> c(7) = 425

Therefore, it costs $425 to produce 7 calculators.

Hope this helps.

</span>
You might be interested in
PLEASE HELP PLEASE PLEASE
Phantasy [73]
-2(-2)^4 + 5(-2)^2 - 4

-2(-2)= 4. 4^4= 16

5(-2)= -10. -10^2= 100 - 4= 96

96 + 16= 112

Answer: 112
8 0
3 years ago
PLEASEE HELPP. Im rlly struggling please help if you can. with steps
Nadusha1986 [10]

Answer:

lol

Step-by-step explanation:

L O LDJDDHDHDHDHFFHFVDVDVDBSSBDBDBDBD

7 0
10 months ago
Read 2 more answers
Help with this please, picture above ^
Irina18 [472]

Answer:

y = -3x -2

Step-by-step explanation:

parallel lines have same slope

line d: slope (m) = -3

y intercept (b) = -2

equation y = mx + b      y = -3x -2

8 0
3 years ago
Find the probability of drawing a 8 of Diamonds from a 52-card deck given the deck is properly shuffled.
Naddik [55]

Answer:

1/52

Step-by-step explanation:

There is only one 8 of diamonds in a deck of 52 cards.  The deck is properly shuffled, so every card has an equal probability of being selected.  So the probability is 1/52.

7 0
3 years ago
If you write out all the numbers from 1 to 300, in how many numbers will there be an 8? (Note that 88 only counts as one number
Jobisdone [24]
There is one 8 in each intervals: 1-10, 11-20, 21-30, 31-40, 41-50, 51-60, 61-70, 71-79, 90-100, and ten numbers with 8 in 80-89.
from 1-100, there are a total of nineteen 8's.
So from 101-200, there will be nineteen as well. Same goes for 201-300.
so,
19*3=57
There are fifty seven number with 8 from 1 to 300
4 0
2 years ago
Other questions:
  • The formula C=kmt is used to find the number of calories a person burns during exercise, where m is the person’s weight in pound
    8·1 answer
  • What is 10 hundreds in standard form
    10·2 answers
  • Which of the following terms best describes 1.47
    8·2 answers
  • Y=mx+b form of x=5 and y=2
    15·1 answer
  • How many different triangles can you make if you are given these three length for sides(20 pts answerr pleaseee)
    5·2 answers
  • Please answer the 3 questions (the first one I accidentally tapped)
    5·2 answers
  • What number does y stand for in this equation?<br> 2y - 7 = 35
    15·2 answers
  • Find the percent of error if the estimate is $230 and the actual amount is $245. round to the nearest whole percent.
    15·1 answer
  • Chris's age is 17 more than one-fourth of Brian's age. How old is Chris if Brian is 27?
    6·1 answer
  • Pls help I’m losing my mind
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!