The total cost, in dollars, to order x units of a certain product is modeled by C(x)=5x2+320. According to the model, for what size order is the cost per unit a minimum?

Answers

Answer 1

Answer:

 The minimum cost       C(x) = 320 dollars

Step-by-step explanation:

Step(i):-

Given that the function C(x) = 5 x² + 320 ...(i)

Differentiating equation (i) with respective to 'x', we get

                C¹(x) = 5 (2x) + 0

                 C¹(x) = 10 x..(ii)

Equating zero    

                 C¹(x) = 0

            ⇒  10 x=0

            ⇒    x =0

Step(ii):-

Again differentiating equation (ii) with respective to 'x',we get

               C¹¹(x) = 10 (1) = 10 > 0

The total cost C(x) is minmimum at x=0

 The minimum cost      

                        C(x) = 5 x² + 320

                     put x= 0

                      C(x) = 0 + 320

                        C(x) = 320        

Answer 2

Answer:

It's 8

Step-by-step explanation:


Related Questions

what is the answer +7 – 7???

Answers

Answer:

0

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

positive 7 minus 7 just equals zero

Ed buys a box of eggs costing £2.80, two packs of bacon for £2.40 each and two tins of baked beans.
He pays with a £10 note and gets 80p change.
How much does a tin of beans cost in pounds, £?

Answers

Answer:

Your answer is

0.8 pound.

If wrong, Sorry...

But remember to give me correct answer

Want more answer then follow me, like and MARK MY ANSWER AS BRAINLIST ANSWER.

I need that urgently.

Answer: £0.80

Explanation:

1) 10 - 0.80 = £9.20 all together.

2) (2.40 x 2) + 2.80 = £7.60 for the two packs of bacon and box of eggs.

3) 9.20 - 7.60 = £1.60 is the amount of money spent on baked beans.

4) There is 2 tins of baked beans, so to fi d an individual one we divide by 2:
1.60 / 2 = £0.80

PLEASE PLEASE HELP. I WILL GIVE BRAINLIEST.

Answers

Answer:

You would need to know if both sides are equal to each other

Step-by-step explanation:

What division problem is represented in this model

Answers

Answer:

it is array model

i hope this answer will help you

$5.40 is what
percent of $4.50?
I
I will give braniest ❤️

Answers

Answer:

120%

Step by step explanation

Step 1: We make the assumption that 4.50 is 100% since it is our output value.

Step 2: We next represent the value we seek with $x$x​.

Step 3: From step 1, it follows that $100\%=4.50$100%=4.50​.

Step 4: In the same vein, $x\%=5.40$x%=5.40​.

Step 5: This gives us a pair of simple equations:

$100\%=4.50(1)$100%=4.50(1)​.

$x\%=5.40(2)$x%=5.40(2)​.

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have

$\frac{100\%}{x\%}=\frac{4.50}{5.40}$
100%
x%​=
4.50
5.40​​

Step 7: Taking the inverse (or reciprocal) of both sides yields

$\frac{x\%}{100\%}=\frac{5.40}{4.50}$
x%
100%​=
5.40
4.50​​

$\Rightarrow x=120\%$⇒x=120%​

Therefore, $5.40$5.40​ is $120\%$120%​ of $4.50$4.50​.


Hope this kinda helped

please can you help me Solve 4y + 3 = 27

Answers

|-3
4y=27 |:4
y=6,75 sks

Answer:

the answer is y = 6 because 4 × 6= 24 plus 3 is 27

Increase 60 by 25%.

Answers

Answer:

75

Step-by-step explanation:

25% * 60 = 15

60 + 15 = 75

Answer:

the answer is 75

Step-by-step explanation:

i found out that that 25% of 60 was 15 because thats what i get when i divide it by 4. so then i added 15 ot 60 and it gave me 75

Mark recorded the temperature each day for a week.
He calculated the mean temperature and found it was 21.6°C
Mark’s thermometer was not working properly. All seven temperatures were 3° too high.
Write down the correct mean temperature.

Answers

Step-by-step explanation:

130.2/7= 18.6

Before finding the correct form you need to find their total sum and subtract 21 from it since the number of temperature recordings are 7

Select the correct answer.
If the zeros of a quadratic function are 3 and 8, what are the factors of the function?
ОА. .
(X + 8) and (x-3)
OB.
(x - 8) and (x + 3)
ОС.
(X + 8) and (x + 3)
OD
(x-8) and (x-3)

Answers

Answer:

Hello!The answer would be D-(x-8) and (x-3)

Step-by-step explanation:

Your welcome :)

The factors of the function, If the zeros of a quadratic function are 3 and 8 will be (x - 3) and (x + 8), i.e. option D.

What is quadratic function?

Quadratic function is one of the form f(x) = ax² + bx + c, where a, b, and c are numbers with a not equal to zero.

We have,

Zeros of a quadratic function are 3 and 8,

Now,

Let,

[tex]\alpha = 8[/tex] and [tex]\beta=3[/tex]

So,

Now,

Using sum of zeros and product of zeros,

i.e.

[tex]\alpha+\beta=8+3=11[/tex]

And,

[tex]\alpha *\beta =8*3=24[/tex]

So,

The quadratic equation will be in form of ,

[tex]x^2-(\alpha+\beta)x+\alpha\beta=0[/tex]

i.e.

[tex]x^2-(8+3)x+24=0[/tex]

i.e.

[tex]x^2-8x-3x+24=0[/tex]

taking common,

x(x + 8) - 3(x - 8) = 0

(x - 3) (x + 8) = 0

So,

The factor of the quadratic equation are (x - 3) and (x + 8).

Hence, we can say that the factor of the quadratic equation are (x - 3) and (x + 8), i.e. option D.

To know more about Quadratic function click here

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Rewrite the following polynomial in standard form.
1-2x- 5x^4 +8x^3

Answers

Answer:

-5x^4+8x^3-2x+1

Step-by-step explanation:

The polynomial in standard form is - 5x^4 + 8x^3 -2x + 1.

What is a polynomial?

They are mathematical expressions involving variables raised with non negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication and non negative exponentiation of variables involved.

Example:

x^2 + 3x + 5 is a polynomial.

We need to Rewrite the following polynomial in standard form;

1-2x- 5x^4 + 8x^3

Therefore,

- 5x^4 + 8x^3 -2x + 1

Hence, the polynomial in standard form is - 5x^4 + 8x^3 -2x + 1.

Learn more about polynomials here:

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Alex defeated 10 gyms today! She started with 440 coins and now has 540 coins.

Answers

Answer:

good for Alex, she's got 100 more coins

Answer:

Are you asking how many coins she earned from each gym or-..? 10 gym do be crazy tho

Do the points (-3,9), (1,1), (5,25), (6,36) make a function?

Answers

Answer:

Yes

Step-by-step explanation:

The answer is yes because none of the x-coordinates repeat. If one or more of the x-coordinates repeat, it is no longer considered a function.

Change 1700 kg into tonnes.

Answers

Answer:

1.87 tonnes

Step-by-step explanation:

A ton is 2,000 lb.

A kg is 2.2 lb

1700 kg x 2.2 lb/kg = 3740 lb

3740 lb x (1 ton/2000 lb) = 1.87 tons

Shoes and hats are on sale. The expression 1/4(s + 24.80) can be used to determine the discount when you buy shoes with a retail price of s dollars and hats with a total retail price of $24.80. Write another expression that can be used to determine the discount.

Answers

Answer:

0.25s + 6.2

Step-by-step explanation:

Discount on sale expression : 1/4(s + 24.80)

Retail price of shoe = s

Retail price of hats = 24.80

From expression, we can conclude that there is a ; 1/4 = 0.25 = (0.25 * 100%) = 25% discount on each item ;

Hence, discount expression could be written as :

0.25s + 0.25(24.80)

0.25s + 6.2

What is the lateral surface area of a cube with a side length of 7 inches

Answers

Answer:

294 (i think not sure so plz double check if you can )

Step-by-step explanation:

Answer:

196

Step-by-step explanation:


[tex] \sin {}^{2} (a) + cos {}^{2} (a) = [/tex]
???

Answers

Answer:

sin^2a+ cos^2a=1

it is derived from Pythagoras theorem

Answer:

sin^2a+ cos^2a=1

Step-by-step explanation:

7 1/8 + 6 1/8 equals what? hurry

Answers

Answer:

13 2/8

Step-by-step explanation:

Answer:

13.25

Step-by-step explanation:

What multiple of 2 is also a factor of 2
Please answer quickly

Answers

the only factor of 2...is 1 and 2

√17/144

Simplify this radical expression

Answers

Answer=0.3435921355

What is the solution to the equation modeled below?

DO NOT PUT X = IN YOUR ANSWER. JUST PUT THE NUMBER. YOU CAN
PUT EITHER A FRACTION OR A DECIMAL - EITHER ONE IS OKAY.

Answers

Answer:

-1/2 or -0.5

Step-by-step explanation:

I need help plz
●| ̄|_

Answers

Answer:

the answer is C.

Step-by-step explanation:

if you think about it all you really need to do is the methoes method so that rules out the 2015 and the 2008 and how i ruled out the 2011 is i simply did reasoning, if you follow the charts details and rules there is no possible way it is B. hope this helps!

State if the three numbers can be the measures of the sides of a triangle. 3, 6, 2 Yes No

Answers

Answer:

Step-by-step explanation:

No. 6 is greater than the sum of 3 and 2.

No, These three numbers cannot be the measures of the sides of a triangle.

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

Three sides of triangle are,

⇒ 3, 6, 2

We know that;

The sum of two sides of a triangle are always greater than the third sides.

Here, Three sides of triangle are,

⇒ 3, 6, 2

So, We get;

⇒ 3 + 2 < 6

Thus, It is not possible to make a triangle.

Therefore, These three numbers cannot be the measures of the sides of a triangle.

Learn more about the triangle visit;

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What percent of 950 is 931

Answers

Answer:

100.

Step-by-step explanation:

Hope you get it right

What is the median of the data set?
38, 65, 72, 67, 80
A
67
B 64
C
72
D 65

Answers

Answer:

A) 67

Step-by-step explanation:

Answer:

Answer is A.67

Step-by-step explanation:

I hope it's helpful!

PLEASE HELP ME!!!! and stop just answering for points:/
Regan is making trail mix for a camping trip. Regan wants to use one kind of nuts and one kind of dried fruit, and there are 2 kinds of nuts and 10 kinds of dried fruit available. How many different trail mixes can regan make?

Answers

She can only make 2 trail mixes
2 trail mixes is the answer

Felix is dividing 322 by 12. He
says the answer is going to be
smaller than 322. Do you agree
with him or disagree?

Answers

I agree if you divide it. The answer will be 26.8

Answer:

agree

Step-by-step explanation:

322/12 is 26.8333333333 so its obviously smaller than 322

Whats 4 1/5% of 50?Write your answer as a decimal.Make sure your answer is fully reduced.
Plzzz help meee im almost done i need 2 more questions :(​

Answers

So 4 1/5% is written as .0420. Multiply that by 50 and you get 2.1

Answer:

:)bien

mmmmmmmmmm!mmmmmmmm!!mm!!!!!mmmmmmmmmmmm

PLSSSSS HEEEELLLLLPPPP Will mark brainliest.Find the distance between each pair of points whose coordinates are given in the coordinate plane.Use the Pythagorean Theorem to find the distance between the two points . Remember to create a right triangle 1st,then use the Pythagorean Theorem formula.​

Answers

Answer:

5 units

Step-by-step explanation:

create a point in (1,1) and a right angled triangle will be formed, you can then use distance formula and the distance from the first point to (1,1) will be 3 units and from second point to (1,1) will be 4 units and verify using pythagoras theorem

ten times the smallest of three consecutive integers is twenty two more than three times the sum of the integers. find the integers​

Answers

Answer:

31, 32 and 33

Step-by-step explanation:

Mark these consecutive integers as (n-1), n and (n+1)

(n-1) is the smallest of them

Now write the equation

10 * (n-1) = 3 * (n-1 + n + n+1) + 22

10n - 10 = 3 * (n + n + n) + 22

10n - 10 = 3 * 3n + 22

10n - 10 = 9n + 22

10n - 9n = 22 + 10

n = 32

Now find these three integers

n-1 = 32 - 1 = 31

n = 32

n+1 =32 + 1 =33

Find the perimeter of the figure.
8 cm
10 cm

Answers

Answer:

12.565 + 8 + 10 + 10 = 40.565

Find the circumfrence of the circle and divide that by 2. Then add the other sides.

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