The cost in dollars of making x items is given by the function C(x)=10x+800. a. The fixed cost is determined when zero items are produced. Find the fixed cost for this item. b. What is the cost of making 25 items? c. Suppose the maximum cost allowed is $3300. What are the domain and range of the cost function, C(x)? (In interval Notation)


im struggling with C terribly i Just dont understand it


When you enter a number in your answer, do not enter any commas in that number. In other words if you want to enter one thousand, then type in 1000 and not 1,000. It's not possible to understand what the interval (1,000,2,000) means, so you should write that as (1000,2000).

Answers

Answer 1

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Answer:

  a) $800

  b) $1050

  c) D: [0, 250]; R: [800, 3300]

Step-by-step explanation:

a) The problem statement tells you the fixed cost is ...

  C(0) = 800 . . . . dollars

__

b) The cost of making 25 items is ...

  C(25) = 10·25 +800 = 250 +800 = 1050 . . . . dollars

__

c) You cannot make fewer than 0 items. The limit on cost means the most you can make is ...

  3300 = 10x + 800

  2500 = 10x

  250 = x . . . . . . . . maximum number of items that can be made

So, the domain of the function -- the values of x to which it pertains -- is ...

  0 ≤ x ≤ 250

In interval notation, this is [0, 250] . . . domain of C(x).

The range of C(x) is the set of cost values the function may have. We already know the minimum is 800. The problem statement tells us the maximum is 3300. The cost may have any value between those limits, so ...

  800 ≤ C(x) ≤ 3300

In interval notation, this is [800, 3300] . . . range of C(x).

_____

Additional comment

Square brackets are used in interval notation when the "or equal to" case is part of the limit.

We could be more specific regarding domain and range, since the domain values are integers only, and the range values are multiples of 10 only. Here, we ignore that little detail.


Related Questions

give 5 each examples of acute angle
and obtuse angle​

Answers

Answer:

acute (<90°): 2° 35° 47° 78° 89.5°

obtuse (>90°): 91° 180° 290° 110° 359°

What is the surface area of the cylinder with height 7 ft and radius 3 ft? Round your answer to the nearest thousandth.​

Answers

area = 2 π r 2 + 2 π r h
where:
π is Pi, approximately 3.142
r is the radius of the cylinder
h height of the cylinder

speeeeeeeeeeeddddddddddddddddd (might give brainlest

Answers

Answer:

6

Step-by-step explanation:

6 times 6 is 36 and the formula for area is

lxw(Length times width)

Gavin and his friends want to share 1/3 of a cake equally. Gavin says that each friends will get 1/9 of the cake. Use the drop-down menus to explain whether or not Gavin is correct.

Answers

Answer:

Step-by-step explanation:

I put incorrect

Second box is 4

And third box is 4

And fourth box is 1/12

Answer:

Gavin is correct

Step-by-step explanation:

2 box is 3

3 box is 1/3

So the answer is 1/9

A window in the shape of a rectangle as shown below has a width of 2X +1 and the length of X squared minus 5X -7

Answers

Answer;

14x-12

Explanation:

Since we are not asked what to fine, we can find the perimeter of the rectangle

Perimeter = 2(L+W)

Perimeter = 2(2x+1+5x-7)

Perimeter = 2(7x - 6)

Perimeter = 14x - 12

Hence the perimeter of the rectangle is 14x-12

What is the volume, in cubic cm, of a cube with an edge length of 9cm?

Answers

Answer:

729 cm^3

Step-by-step explanation:

Delta math

which expression represents the value of pi?

Answers

G =3.14 and pi= 3.14 so the answer is g

Find x. Round your answer to the nearest tenth of a degree.
A
27
18
to
B
С
x = _(blank)

Answers

I think it 32.44 try that am

2+3
For what value of a does
9
(3)"
?
-
73
3
1

Answers

Answer:

3

Step-by-step explanation:

3 × 3 = 9

( 3 + 3 + 3 = 9 )

______________________________________

Which of the following is equivalent to 24/80

Answers

Answer:

0.3

Step-by-step explanation:

Just divide : 24/80 = 0.3

Find The length of one leg of a right triangle if the length of the hypotenuse is 18 feet and the length of the other leg is 14 feet. Leave your answer as a simplified radical.

Answers

Answer:

a = 8√2

Step-by-step explanation:

a² + b² = c²

a² +14² = 18²

a² + 196 = 324

Subtract 196 from both side

a² = 128

Take the square root of both sides

a = √128

a = √(64 * 2)

a = 8√2

What is the value of x

Answers

Hello :) to find x you will have to use tan. It would be tan51=x/8 I’m order to get the answer you would have to 8 times tan51 in your calculator. Your answer should be 9.879 which you can round to 9.9. I hope I helped

Hey there! :)

Please keep in mind that SOH-CAH-TOA is a life saver when it comes to trig! Where:

- SOH = Sin: opposite over hypotenuse

- CAH = Cos: adjacent over hypotenuse

- TOA = Tan: opposite over adjacent

The question is asking us to find the value of x given the following located in the image provided.

Because we've been given 51°, we'll use this angle to determine whether we're using Sin, Cos, or Tan.

We must now look at the other given variables in this triangle - specifically where they are located.

While looking at our given angle (51°), we see that x is located on the opposite side of 51° while 8 is located adjacent (also known as next) to 51°.

Because of this, we now know that we'll be using Tan (opposite over adjacent) to find the value of x because our given values are opposite and adjacent to 51°.

We now set up our equation to find the value of x:

tan (51°) = [tex]\frac{x}{8}[/tex] ⇒ we set it up this way because x is opposite of 51° & 8 is adjacent to it.

Now, we must remove all fractions. We can do this by multiplying both sides by 8.

8 × tan (51°) = [tex]\frac{x}{8}[/tex] × 8

Now, we simplify.

8 × tan (51°) = x

Now, we plug this into our calculator. Make sure your calculator is in degrees mode since we are using degrees, not radians.

8 × 1.2348 = x

Simplify.

x = 9.9

Therefore, angle x is 9.9

Hope this helped! :)

(Image attached for visual reference)

20. If x=2a+3b and y = 20-3b, find (x+y)(x-y).​

Answers

Answer:

i think 38

Step-by-step explanation:

help me! the answer is not unit

Answers

b. the correct t answe js B

24-67-88+77-77+78-55+888


Answers

Answer:

780

Step-by-step explanation:

24 - 67 = - 43

- 43 - 88 = - 131

- 131 + 77 - 77 = - 131

- 131 + 78 = - 53

- 53 - 55 = - 108

- 108 + 888 = 780

Which choice is equivalent to the fraction below? Hint: Rationalize the
denominator and simplify.

Answers

Answer:

Option D. 4√2

Step-by-step explanation:

8/√2

The above expression can be simplified as follow:

8/√2

Rationalise the denominator i.e multiply the numerator and the demoninator by √2. This is illustrated below:

8/√2 × (√2/√2)

8 × √2 / √2 × √2

8√2 / 2

4√2

Thus, option D gives the correct answer to the question.

The sum of two numbers is 32. One number is 10 more than the other. Find the numbers

Answers

Answer:

12 and 10

Step-by-step explanation:

Answer:

11 and 21

Step-by-step explanation:

Let the first number equal x. If the first number, the second number is ten more, and can represented as x + 10. Now, the sum is 32, so we can add the two numbers to get 32:

x + x + 10 = 32

2x + 10 = 32

2x = 22

x = 11

If the first number 11, the second number is 10 more, and therefore is 21.

find the value of using property of 3295×999+3295 Solution​

Answers

Answer:

3295000

Step-by-step explanation:

3295×999+3295

3295 * 999 = 3291705

3295×999+3295

3295 * 999 + 3295

3291705 + 3295 = 3295000

Simplify (5m - 4)2 using the square of a binomial formula.

A) 5m2 - 20m - 4
B) 25m2 – 40m + 16
C) 25m2 + 40m + 16
D) 5m2 – 40m + 4

Answers

Answer:

[tex]25m^{2} -40m+16[/tex]

Step-by-step explanation:

Rewrite (5m−4)^2 as (5m−4)(5m−4).

Expand (5m−4)(5m−4) using the FOIL Method.

[tex]25m^{2} -40m+16[/tex]

Amplitude and Period

Determine the amplitude of the function y = sin x from the graph shown below:

a. 2
b. 1
c. 3
d. 4

Please select the best answer from the choices provided

Answers

Answer:

A. 2

Step-by-step explanation:

I calculated it logically

Find the solution to the system of equations y=1/2x +1, y= -x-2

Answers

(-2,0)
-x-2=1/2x-2
-1.5x-2=1
-1.5x=3
X=-2
(-2,0)

Answer:

answer is (1,0)

Step-by-step explanation:

6x + 11y = -3
4x + y = 17
what is the y coordinate?

Answers

Answer: Y = -3 and for x = 5

Step-by-step explanation:

You would get this because when you multiply 6 by 5 you get 30 then you multiply 11 by -3 and you get -33 then you add both and -3 then that’s how you find for the value y and can please mark brainly if you do thx and have a good day

Anyone helps??

Mr. Cruz has 60 students. 24 are taking Math, 15 are taking Biology, and 31 are taking neither.

How many students are taking both, Math and Biology.

Answers

Answer:

39

Step-by-step explanation:

24+15= 39. 39 students are taking both math and biology.

The answer to this problem is 39.

12 hrs 40 min + 10 hrs 30 min​

Answers

Answer:

23 hours and 10 minutes

The point (8, 7) is reflected over the x-axis. What quadrant is the new point located in? A. Quadrant I
B.Quadrant II
C.Quadrant III
D.Quadrant IV

Answers

Answer:

.quadrant 4 is the new point locatef

It would be D, quadrant IV.

Need help!!!!!!!!!!!! Struggling

Answers

A = 28.26 sq yds

Step-by-step explanation:

diameter (D) = 6 yds

radius (r) = D/2 = 3 yds

A = πr^2

= (3.14)(3 yds)^2

= 28.26 sq. yds


Jffkdjdjdjdkskkskskskskakskkdkdkskdk

Answers

Answer:

the anser is d

Step-by-step explanation:

Answer:

b) 7x² - 12x√14 + 72

Step-by-step explanation:

Let's solve the problem,

→ (x√7 - 3√8)(x√7 - 3√8)

→ (x√7 - 3√8)²

→ 7x² - 12x√14 + 72

Hence, option (b) is correct.

Nicholas performs an experiment in which he pulls a marble from a bag. In his experiment, he finds that he is twice as likely to pull a red marble as a blue marble. If Nicholas pulls 10 red marbles, how many blue marbles does he pull?

Answers

Answer:

Nicholas pulls 5 blue marbles from the bag.

Step-by-step explanation:

Since Nicholas performs an experiment in which he pulls a marble from a bag, and in his experiment, he finds that he is twice as likely to pull a red marble as a blue marble, to determine, if Nicholas pulls 10 red marbles, how many blue marbles does he pull, the following calculation must be performed:

10/2 = X

5 = X

Therefore, Nicholas pulls 5 blue marbles from the bag.

Which equation has a graph that lies entirely above the x-axis?

Answers

This awnser is 309 and has 11.22 as the fraction

Answer: c

Step-by-step explanation:

y=(x-7)^2+7

Use the integers that are closest to the number in the middle. √32

Answers

Answer:

4√2

Step-by-step explanation:

√32 = √(16 * 2) = 4√2

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