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
Write this sentence as a conditional <br><br> "a regular hexagon has exactly 6 congruent sides."
Evgesh-ka [11]
“if it is a regular hexagon, then it has exactly 6 congruent sides.”

“it is a hexagon” being your hypothesis (p)
“it has exactly 6 congruent sides” being your conclusion (q).

hope this helps :)
4 0
3 years ago
Find the value of x. If your answer is not an integer, express it in simplest radical form.
DedPeter [7]

Answer:

x = 8√5

Step-by-step explanation:

for right triangle

c^2 = a^2 + b^2

with c is the hypotenuse; a & b are the other sides

(4 + 16)^2 = (4√5)^2 + x^2

400 = 80 + x^2

x^2 = 320

x^2 = 64(5)

√x^2 = √64(√5)

x = 8√5

7 0
2 years ago
Xanthia can read 100 pages per hour and Molly can read 50 pages per hour. If they each read the same book, and the book has 225
Talja [164]

Answer:

135 minutes

Step-by-step explanation:

Let

y -----> the number of pages to finish reading the book

x ----> the number of hours

we know that

The linear equation in slope intercept form is equal to

y=mx+b

where

m is the unit rate or slope of the linear equation

b is the y-intercept or initial value

In this problem we have

<em>Xanthia</em>

m=100\ pages/hour

b=225\ pages

y=-100x+225 ----> the slope is negative because is a decreasing function

For y=0

substitute and solve for x

0=-100x+225

100x=225

x=2.25\ hours ---> Xanthia's time to finish reading the book

<em>Molly</em>

m=50\ pages/hour

b=225\ pages

y=-50x+225 ----> the slope is negative because is a decreasing function

For y=0

0=-50x+225

50x=225

x=4.5\ hours --- Molly's time to finish reading the book

To find out how many more minutes than Xanthia would it take for Molly to finish reading the book, subtract Xanthia's time from Molly's time

4.5\ h-2.25\ h=2.25\ h

Convert to minutes

Multiply by 60

2.25\ h=2.25(60)=135\ minutes

4 0
2 years ago
Read 2 more answers
Convert this fraction to a decimal 1/200​
ohaa [14]

Answer:

0.005

Step-by-step explanation:

7 0
2 years ago
Six values on the number line above are marked with letters. Which letters represent integers when the value on the number line
r-ruslan [8.4K]

Answer:

  A) L, N, O, P

Step-by-step explanation:

The even numbers on the number line are marked by the letters L, N, O, P.

_____

If a number gives an integer result when divided by 2, it is an even number. Zero is an even number, giving the integer zero when divided by 2.

6 0
3 years ago
Other questions:
  • The gas tank I’ll be riding mower holds 5 L of gas how many 5 L gas tanks can you feel from a 20 L gas tank
    7·1 answer
  • A CD tower is shaped like a cylinder and holds CDs with a diameter of 4.75 inches. If the CD tower is 12 inches tall, what is it
    14·1 answer
  • Name the Property of Equality that justifies this statement:<br> If l = m, then m=1
    14·2 answers
  • Please help me with this question
    11·2 answers
  • Reflect the point (-7, -9) across the x-axis: Then
    10·1 answer
  • Please help me or dont
    14·1 answer
  • A teacher surveys a sample of students from Lake Middle School. He asks the students where they’d like to go for a field trip. H
    5·1 answer
  • I need some help to classify this triangle pls
    15·1 answer
  • Which of the following is a zero for the function f(x) = (x - 15)(x + 1)(x - 10)?
    9·1 answer
  • Does anyone know how to do this ?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!