The daily production cost, C, for x units is modeled by the equation:
C = 200 – 7x + 0.345x2

Answers

Answer 1
c(x) = 200 - 7x + 0.345x^2

Domain is the set of x-values (i.e. units produced) that are feasible. This is all the positive integer values + 0, in case that you only consider that can produce whole units.

Range is the set of possible results for c(x), i.e. possible costs.

You can derive this from the fact that c(x) is a parabole and you can draw it, for which you can find the vertex of the parabola, the roots, the y-intercept, the shape (it open upwards given that the cofficient of x^2 is positive). Also limit the costs to be positive.

You can substitute some values for x to help you, for example:

x y
0 200
1 200 -7 +0.345 = 193.345
2 200 - 14 + .345 (4) = 187.38
3 200 - 21 + .345(9) = 182.105
4 200 - 28 + .345(16) = 177.52
5 200 - 35 + 0.345(25) = 173.625
6 200 - 42 + 0.345(36) = 170.42

10 200 - 70 + 0.345(100) =164.5
11 200 - 77 + 0.345(121) = 164.745


The functions does not have real roots, then the costs never decrease to 0.

The function starts at c(x) = 200, decreases until the vertex, (x =10, c=164.5) and starts to increase.

Then the range goes to 164.5 to infinity, limited to the solutcion for x = positive integers.

Related Questions

At what value(s) of x does f(x) = -x4 + 2x2 have a critical point where the graph changes from decreasing to increasing?

Answers

Hope the graph helps!


Which polynomial is in standard form?

1 + 2x - 8x + OX
O 2x2 +6x3-9x+ 12
6x3 + 5x-3x2 + 2
2x3+4x2 - 7x+5

Answers

Answer:

last option is correct because the standard form of polynomial means the arrangement of power in descending order

Really need help on this!!

Answers

Answer:

Hey there!

There are 3+4+6+3, or 16 females.

3 of the females are seniors.

Thus, the percent is 3/16, or 19%

Let me know if this helps :)

Is the expression 2 • 4' equal to the expression 8x?Explain your answer

Answers

Answer:

Yes

Step-by-step explanation:

If your expression is 2*4 it will equal 8 and if your still not sure divide 8 by 4 and your answer is 2 or 8 by 2 and you'll get 4.

-3, -2,-1, 0, 1, 2, 3, are called_______

Answers

Answer: Integers

Step-by-step explanation: To help introduce the set

of integers, let's use the number line shown below.

Notice that on a number line, 0 is in the middle, all numbers to the

left of 0 are negative, and all numbers to the right of 0 are positive.

The set of integers includes the set of whole numbers, {0, 1, 2, 3, ...},

which appear at 0 and to the right of 0 on the number line.

The set of integers also includes {-1, -2, -3, ...} which

appear to the left of 0 on the number line.

So the ste of integers can be written as {...-3, -2, -1, 0, 1, 2, 3...}.

Answer:

Integers

Step-by-step explanation:

a positive (+) or negative (-) number with no fractional parts. zero (0) Is also an integer

Examples: -3, 3

Answer the following questions about this figure.
PLS HELP ME

Answers

The answer is 143 I think

Answer:

143

Step-by-step explanation:

First, figure out the measurement of angle 2. Take 180 degrees (the total of the triangle) and subtract 90 (the right angle) and 53 (the given measurement of angle 1). 180-90-53=37      

Angle 2 measures 37 degrees. The measurements of angles 2 and 3 need to equal 180 when added together as they form a straight line, so take the total (180) and subtract the value of angle 2 (37). 180-37=143

Angle 3 measures 143 degrees

y^2+3y-10=0 please solve

Answers

The Answer is: y=2,5

Answer:

y = -5

y = 2

Step-by-step explanation:

Find 2 factors of -10 that add up to 3

This will be 5 and -2

So, we can factor this:

y² + 3y -10 = 0

(y + 5)(y - 2) = 0

Set each factor equal to 0 and solve:

y + 5 = 0

y = -5

y - 2 = 0

y = 2

So, the solutions are y = -5 and y = 2

Help me make sure this is right please??!!

Answers

Answer:

[tex]2\sqrt{3} -3\sqrt{3}[/tex]

Step-by-step explanation:

We need a number that is able to be square rooted, and then we square root it and take it out so it is simplified

[tex]\sqrt{4*3} -\sqrt{9*3}[/tex]

The square root of 4 is 2, and the square root of 9 is 3.

[tex]2\sqrt{3} -3\sqrt{3}[/tex]

Write 7*10*10*10*10 with an exponent
7*10*10*10*10=

Answers

7x10^4

Because there are 4 sets of 10
The answer is 7*10^4 i think

What is the image of (–9,-5) after a dilation by a scale factor of 5 centered
at the origin?

Answers

Answer: (-45,-25)  

Step-by-step explanation:

Multiply each coordinates value by the scale factor to find the new point.

-9 * 5 = -45

-5 * 5 = -25

(-45,-25)

(6 + h​ 2​− j) ÷ 2; use h = 6, and j = 4

Answers

Answer:

19

Step-by-step explanation:

Given

(6 + h² - j) ÷ 2 , substitute h = 6 and j = 4 into the parenthesis

= (6 + 6² - 4) ÷ 2

= (6 + 36 - 4) ÷ 2

= 38 ÷ 2

= 19

An online music club sells compact discs for $13.95 each plus $1.95 shipping and handling per order. If Maria’s total bill was $85.65, how many compact discs did Maria purchase?

Answers

Answer:

she purchased 6 compact discs

Step-by-step explanation:

13.95 × 6 + 1.95= 85.65

Answer:

6

Step-by-step explanation:

3 is multipled by the cube of a number.

Answers

Cube Root. ... a special value that when cubed gives the original number. ... 3, because when 3 is cubed you get 27.

Answer:

Cube of a number is three times of the same number. Cube of any mathematical expression is represented by the superscript 3. For example a 3 of the number is a x a x a. It can also be told as the number multiplied by its square. a 3 = a x a 2 can you please help me

Step-by-step explanation:

what is [12÷(3-1)+4]×6​

Answers

The answer should be:

60

Hoped it Helped !!

Answer:

60

Step-by-step explanation:

12 ÷ (3 - 1) = 6

6 + 4 = 10

10 × 6 = 60

-| -8 | |-(-8) are they equal ? Or which one is more ?

Answers

Answer:

-| -8 |  is less than |-(-8)|

Step-by-step explanation:

-| -8 | =-8

|-(-8)| =8

they are not equal

-| -8 |  is less than |-(-8)|

I dont understand hot to find g(3)

Answers

The answer to this equation is 4. This is because since the function is g(3), you plug in x with 3. 3*3 = 9. 9+7 = 16. The square root of 16 is equal to 4, so that is your answer.

What is the range of these wages £140 £525

Answers

140-525 would be the range

(2ײy²)⁰ I need help with exponents ​

Answers

Answer:

1.

Step-by-step explanation:

Any real value to the power of 0 is 1.

Value to the power of 0 is 1

21-m=9 anyone know this ?

Answers

Answer:

m=12

Step-by-step explanation:

21-m=9

-m=9-21

-m=-12

m=12

Answer:

12

Step-by-step explanation:

21-m=9

21-9=12

m=12

given the piece wise function show below, select all that are true​

Answers

Answer:

Option (C) and (D)

Step-by-step explanation:

Given piecewise function is,

f(x) = 2x, x < 1

        5, x = 1

        [tex]x^{2}[/tex], x > 1

Option (A),

x = 5 means x > 1

So the function will be,

f(x) = [tex]x^{2}[/tex]

f(5) = (5)²

     = 25

Therefore, f(5) = 1 is not correct.

Option (B),

x = -2 means x < 1

f(x) = 2x will be applicable.

f(-2) = 2(-2) = -4

Therefore, f(-2) = 4 is not correct.

Option (C)

For x = 1,

f(1) = 5

Therefore, f(1) = 5 is the correct option.

Option (D)

x = 2 means x > 1 and the function defined will be,

f(x) = x²

f(2) = 2²

     = 4

Therefore, f(2) = 4 will be the correct option.

Options (C) and (D) will be the answer.

Which of the following is a rational number? 79, 80, 81, 82​

Answers

I’m thinking 81 ? Maybe but it can also be 79

don't mind the writings in pen, i didn't know what i was doing... PLS HELP ASAP​

Answers

Answer:

(a) <AED=50°

(b) <DAB=65°

(c) <BCD=45°

(d) Reflex <ABC=225°

Step-by-step explanation:

(a) 180-65-65=50

(b) 180-115=65 (ADC is 115)

(c) 180-135-45

(d) Reflex <ABC 360-135=225

We have two varieties of concrete that we can mix together. One is 5% water and 95% concrete mix, and the other is 20% water and 80% concrete mix. We want to end up with 30 pounds of a result that is 10% water and 90% concrete mix. Determine how many pounds of each variety we need.

Answers

Answers:

20 pounds of the 95% concrete mix10 pounds of the 80% concrete mix

=================================================

Explanation:

x = amount of the 95% concrete mix

y = amount of the 80% concrete mix

Type A mix has 95% concrete. If we have x pounds of this, then 0.95x pounds is pure concrete. Type B mix has 80% concrete. If there are y pounds of this, then 0.80y pounds is pure concrete.

So far we have 0.95x+0.80y pounds of pure concrete from the two mixes

Divide this over 30 to get (0.95x+0.80y)/30

Setting this equal to 0.90 means we want the final mix to be 90% concrete.

Since we want 30 pounds total, we can say x+y = 30 which solves to y = 30-x. We'll use this later

-------------------------------

(0.95x+0.80y)/30 = 0.90

0.95x+0.80y = 30*0.90 .... multiply both sides by 30

0.95x+0.80y = 27

0.95x+0.80(30-x) = 27 ..... plug in y = 30-x

0.95x+0.80*30-0.80*x = 27

0.95x+24-0.80x = 27

0.15x+24 = 27

0.15x = 27-24 ..... subtracting 24 from both sides

0.15x = 3

x = 3/0.15 ........... dividing both sides by 0.15

x = 20

y = 30-x

y = 30-20

y = 10

Help please also give an explanation

Answers

Answer:

The answer is option A

Step-by-step explanation:

[tex] \frac{a + bc}{wd + f} = g[/tex]

First of all cross multiply

That's

g( wd + f ) = a + bc

Multiply the terms at the left side of the equation

We have

gwd + fg = a + bc

Send fg to the right side of the equation

That's

gwd = a + bc - fg

Divide both sides by dg to make W stand alone

[tex] \frac{gwd}{dg} = \frac{a + bc - fg}{dg} [/tex]

We have the final answer as

[tex]w = \frac{a + bc - fg}{dg} [/tex]

Hope this helps you

A small publishing company is planning to publish a new book. The production costs will include one-time fixed costs (such as editing) and variable costs (such as printing). There are two production methods it could use. With one method, the one-time fixed costs will total $82,910, and the variable costs will be $10.75 per book. With the other method, the one-time fixed costs will total $22,110 , and the variable costs will be $23.25 per book. For how many books produced will the costs from the two methods be the same?

Answers

Answer:

When 4864 books are sold

Step-by-step explanation:

Create an equation where x is the number of books produced:

The first method will be represented by 10.75x + 82,910

The second method will be represented by 23.25x + 22,110

Set these equal to each other and solve for x:

10.75x + 82,910 = 23.25x + 22,110

82,910 = 12.5x + 22,110

60,800 = 12.5x

4864 = x

So, the costs will be the same for both methods when 4864 books are sold

describe a real-world situation using opposites

Answers

Answer:

The real world using opposite would be like calling it perfect or or saying that it is normal now days. Hope this helps!

What is the simplified expression for the expression below? –1(2x + 3) – 2(x – 1)

Answers

Answer:

-4x - 1.

Step-by-step explanation:

-1(2x + 3) - 2(x - 1)

= -2x - 3 - 2x + 2

= -4x - 1.

Answer:

-4x -1

Step-by-step explanation:

-2x -3 -2x + 2

what is equivalent to 5 meters

Answers

Answer:

500 centimeters

Step-by-step explanation:

cause it is

A line passes through the point (4,–2) and is perpendicular to the line with the equation y = 2∕3x + 4. What's the equation of the line? Question 1 options: A) y = –3∕2x – 4 B) y = 2∕3x + 3 C) y = 3∕2x – 8 D) y = –3∕2x + 4

Answers

Answer:

Step-by-step explanation:

perp. -3/2

y + 2 = -3/2(x - 4)

y + 2 = -3/2x + 6

y = -3/2x + 4

answer is D


Triangle MNO is a right triangle with one leg = 15ft and the other leg = 18ft. Calculate the
length of the hypotenuse to the nearest hundredth of a foot (2 decimal places)

Answers

Answer:

Length of the hypotenuse = 23.43ft

Step-by-step explanation:

First leg = 15ft

Second leg = 18ft

Length of the hypotenuse = ?

In a right angle triangle,

Hypotenuse^2 = opposite^2 + Adjacent^2

Let first leg and second leg of the triangle be opposite and adjacent respectively

Hypotenuse^2 = opposite^2 + Adjacent^2

= 15^2 + 18^2

= 225 + 324

= 549

Hypotenuse^2 = 549

Find the square root of both sides

√Hypotenuse^2 = 549

Hypotenuse = 23.43ft to the nearest of a hundredth

Length of the hypotenuse = 23.43ft

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