The function C(x)=300x+6,000 represents the cost to produce x number of items. How many items should be produced so that the average cost is less than $500?

Answers

Answer 1

Answer:

More than 30 items

Step-by-step explanation:

C(x)=300x+6,000

First, find c(x), the average cost function.

c(x)c(x)=C(x)x=300x+6,000x

The average cost function is shown below.

c(x)=300x+6,000x

We want the function c(x) to be less than 500.

c(x)<500

Substitute the rational expression for c(x).

300x+6,000x<500x≠0

Subtract 500 to get 0 on the right.

300x+,6000x−500<0

Find the LCD, and rewrite the left side as one quotient.

300x+6,000x−500xx−200x+6,000x<0<0

Factor the numerator to show all factors.

−200(x−30)x<0

Find the critical points when the numerator or denominator are equal to 0.

−200(x−30)−200≠0x−30x=0x=0=0=30

More than 30 items must be produced to keep the average cost below $500 per item.


Related Questions

Last week, there were 40 problems assigned for math homework. Nisa did 55% of them correctly. How many problems did Nisa get right?

Answers

Answer:

she get 22 percent 22/40 is 40 she is bad XD

select the digit in the ten thousand place for 542,970​

Answers

Answer:

the 4

Step-by-step explanation:

Answer:

The answer is 4

Step-by-step explanation:

500,000, 40,000, 2,000, 900, 70

5 The taxi goes by your hotel at 8:00, 8:15 and 8:30. The bus goes by your hotel at 8:00, 8:12 and 8:24. If neither the taxi or bus change their rates of speed, at what time will the bus and taxi arrive at the same time other than 8:00?

Answers

they will both meet at 9:00

If you answer all of these I will give brainliest if it will let me!!!!!
6x - x + 3 = _
-x - 2y - 8x - 2y = _
7p + 3 + 4p + 5 = _
2a + 4 + 2a + 9 = _
x + 5(6 + x) = _
4a - 3b - 7a - 3b = _
-3(6 - 2r) - 3r = _
-2(2x - 5) - 4x = _
2a + 3(2 + a) = _
2(x - y) + 3x = _
-4 (3m + 2n) - 5m + y = _
¼ (m + 2n) - ⅓ (3m - 3n) = _
⅖ (2a - b) + ⅔ (a + 2b) = _

Answers

Answer:

1-8

Step-by-step explanation:

I was only able to finish one through eight The rest follow the same concept though

The graph of y= -2x + 10 is:
A. a point that shows the yintercept. B. a line that shows only one solution to the equation.
C. a point that shows one solution to the equation.
D. a line that shows the set of all solutions to the equation,

Answers

Answer:

d is the right answer for your question

z^3 - z^2 + z for z = -10

Answers

Answer:

[tex] - 1110[/tex]

Step-by-step explanation:

STEP1:

1.1 10 = 2•5

(10)2 = (2•5)2 = 22 • 52

Equation at the end of step1:

((0 - (103)) - (22•52)) - 10

STEP2:

2.1 10 = 2•5

(10)3 = (2•5)3 = 23 • 53

Equation at the end of step2:

((0 - (23•53)) - (22•52)) - 10

STEP3:

Final result :

-1110

Please i need your help

Answers

i think the answer is b but im not sure!!!

If 3^x=8 what does 3^-2x equal

Answers

Answer:

0.01538

Step-by-step explanation:

Write 3/50 as a percentage

Answers

Answer:

6%

Step-by-step explanation:

i did some research and i hope i got this right if it isn't pls let me know

Answer:

6%

Step-by-step explanation:

3/50 as a percent is 6%

Evaluate x+(−21) when x=−27.

Answers

Answer:

-48

Step-by-step explanation:

Subsitute -27 for x

-27+(-21) when you add negatives you keep the negative sign

-48

H2+2h-120

The first 2 (one after H) is square

Answers

Answer:

(h + 12)(h - 10)

Step-by-step explanation:

Assuming you require to factor the expression

Given

h² + 2h - 120

Consider the factors of the constant term (- 120) which sum to give the coefficient of the h- term (+ 2)

The factors are + 12 and - 10 , since

12 × - 10 = - 120 and 12 - 10 = + 2 , thus

h² + 2h - 120 = (h + 12)(h - 10) ← in factored form

h+12)⋅(h−10) because
See steps
Step by Step Solution:
More Icon
Reformatting the input :

Changes made to your input should not affect the solution:

(1): "h2" was replaced by "h^2".

STEP
1
:
Trying to factor by splitting the middle term

1.1 Factoring h2+2h-120
The first term is, h2 its coefficient is 1 .
The middle term is, +2h its coefficient is 2 .
The last term, "the constant", is -120

Step-1 : Multiply the coefficient of the first term by the constant 1 • -120 = -120

Step-2 : Find two factors of -120 whose sum equals the coefficient of the middle term, which is 2 .

-120 + 1 = -119
-60 + 2 = -58
-40 + 3 = -37
-30 + 4 = -26
-24 + 5 = -19
-20 + 6 = -14
-15 + 8 = -7
-12 + 10 = -2
-10 + 12 = 2 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -10 and 12
h2 - 10h + 12h - 120

Step-4 : Add up the first 2 terms, pulling out like factors :
h • (h-10)
Add up the last 2 terms, pulling out common factors :
12 • (h-10)
Step-5 : Add up the four terms of step 4 :
(h+12) • (h-10)
Which is the desired factorization

Final result :
(h + 12) • (h - 10)

factor the given expression 14x4 + 2x3

Answers

Answer:

2x^3·(7x+1)

Step-by-step explanation:

*Common factor

14x^4+2x^3 ⇒ 2(7x^4+x^3)

*Find one factor

2x^3(7x+1)

Which shows the solution to the inequality −4x > 36 A x > −9 C x < 9 B x > 9 D x < −9

Answers

Answer:

solution set of inequality 4x + 3 ≤5x + 7 is (-4, oo)

A man earns rs 24000 per month and spends 70% of it find his monthly saving​

Answers

Answer:

Savings=rs7200

Step-by-step explanation:

money spend=70% of 24000

=70/100*24000

=70*240

=rs 16800

savings=money earned-money spend

=24000-16800

=rs7200

Answer: rs 7200

Step-by-step explanation: So 70% of 24000 = 16800

                                             24000-16800=7200

so he spends rs 16800 per month and has a saving of Rs 7200 per month from his monthly salary.

Would you classify 165 as a perfect​ square, perfect​ cube, both, or​ neither

Answers

Answer:

neither

Step-by-step explanation:

because the square root is not whole number and neither is the cube root of 165. so it is neither

Answer:

I would say neither

Step-by-step explanation:

It's not a perfect square. It's a bit close to say perfect cube. ∛165= ∛(5.485 x 5.485 x 5.485)

In rectangle EFGH, EH I FG and EH crosses the y-axis at (0.-2). If the equation of the line containing FG is x + 3y = 12, write the equation of the line containing EH in slope- intercept form. Show your work to justify your answer.​

Answers

Answer:

y = (-1/3)x - 2

Step-by-step explanation:

First we should put the equation for FG into slope intercept form, which is y = mx + b. For this step, just solve for the y in the equation, which should be y = (-1/3)x + 4.

Next, since we know that FG and EH are parallel, their slopes must also be the same. We also know the (0, -2) is a point on EH, and also happens to be the y-intercept. Therefore, we can plug it back into the slope intercept equation and get y = (-1/3)x - 2, since the m is the same and the -2 is just the y-intercept given in the problem.


Analyzing Bivariate Data
In this activity, you will draw a scatter plot and the line of best fit to analyze a situation.
Jeremy is on the planning committee for the rock climbing club. He is putting together a trip where members
can go outdoor rock climbing. He is trying to determine how high the group should climb and how long the
trip should last. He calls multiple parks in the area that offer rock climbing and collects data on the height of
the rock formations and the average time it takes people to reach the top and come back down. The data he
found is shown.
Time to Climb (min)
Height (ft)

It gives me a list of numbers in a chart

Time to climb : 30 ,45 , 115 , 87, ,160,60,135,117,55,145,95,150,67,120,100,88,138,75,167,120

Height: 85,120,289,194,434,241,351,339,180,400,248,370,155,296,271,255,315,215,405,317

Answers

Answer:

The line of best fit in scatter diagram, the variable have positive correlation.

Scatter Diagram is attached :

Step-by-step explanation:

1. Which situation represents a chemical change!
A. burning a pile of twigs
B. boiling water in a teakettle
C. washing the mud off a dirty car

Answers

Answer:

tbh i think all of them are but go with C

Step-by-step explanation:

Answer:

burning and cooking are 2 examples of chemical change

Step-by-step explanation:

so I think it's is A. B can't be the answer because it's just boiling water since there's nothing in it, it's not really cooking

How do I put a picture of my problem on here. Thanks

Answers

Answer:

There is something that looks like a paper clip and you put your photos there.

it looks like a paper clip when you go to type ur question please mark me brainliest

PLEASE HELPPP!!! 20 PTS!
solve for x and y

Answers

Answer:

x= 19

y= 14

vxgdhshsjsjsjajshdhshwhshshdhdhsjahzhxhdhszhshhdhshshsshhs

Which of the following is a radius of D?
A. AB
B. BD
C. BC
D. AC

Answers

Answer:

BD

Step-by-step explanation:

the radius of a circle is the line from the centre of the circle to a point on the circle, then

BD is the radius of the circle.

The answer would be B. BD

Renu save Rs. 3000 from her salary. If this is 10% of her salary what is her salary b) Find the area of parallelogram if the base is 20cm and the corresponding height is 5cm.​

Answers

Her salary = 3000/0.1 = 30,000

Area of parallelogram = base * height = 20 cm * 5 cm = 100 square cm

Hope that helps :3

In triangle ABC, M is the midpoint of AB. Let D be the point on BC such that AD bisects angle BAC, and let the perpendicular bisector of AB intersect AD at E. If AB = 44, AC = 30, and ME = 10, then find the area of triangle ACE.

Help Please!

Answers

The area of Triangle ACE from the given diagram is; 150 sq.units

What is the area of the triangle?

We are given;

AB = 44

AC = 30

ME = 10

Now, to find the area of triangle ACE, we need to know the length KE where K is the midpoint of AC.

Now, since AD bisects angle BAC. This means that ∠KEA = ∠MEA.

By ASA Congruence Postulate, we can say that; ΔAEK ≅ AEM

Thus, we can say that KE = ME = 10

Formula for area of triangle is;

A = ¹/₂ * base * height

where;

base = AC = 30

Height = KE = 10

Thus;

A =  ¹/₂ * 30 * 10

A = 150

Read more about area of the triangle at; https://brainly.com/question/17335144

Population was 249583 and is now 318270. What percentage has it grown in 10 years

Answers

Answer:

By about 28% has the city grown over the past ten years.

Step-by-step explanation:

Ten years ago, the city's population was 249,583. Its current population is 318,270. By about 28% has the city grown over the past ten years. [ Solution: Population of the city before 10 years = 249583; Current population = 318270; Population grown =318270-249583 = 68687; 68687/249583 = 0.2752; 0.2752 x 100 = 27.52%. ]

Answer:

[tex] \frac{318270}{249583} = 1.277[/tex]

It has grown by 0.277;

by percentage this is;

[tex]0.277 \times 100 = 27.7[/tex]

27.7% increase

Which of the following is a solution to the inequality below?
V + 12 < 0
V = -4
V = -5
V = -12
V = -8
Submit
TATO

Answers

Answer:

The anwser is:

C. V = -12

what two numbers does square root 128 lie between

Answers

Answer:

11 and 12

Step-by-step explanation:

[tex]\sqrt{128} =11.3[/tex]

meaning it lies between 11 and 12

write 15+45 as a product of two factors using the gcf and the distributive property

Answers

Answer:

15(1 + 3)

Step-by-step explanation:

15 written in its prime factors is 3 × 5 (15 × 1)

45 written in its prime factors 3 × 3 × 5 (15 × 3)

The greatest common factor is 15: 15 × 1 = 15 and 15 × 3 is 45

∴ 15 + 45 = 15(1 + 3)

Hope this helps! Make me brainiest, lol it's fine if you don't. : )

An athlete runs a distance of 345 metres (to the nearest metre) in a time of 44.6 seconds (to the nearest 0.1
second).
What is her slowest possible speed?​

Answers

Answer:

7.716 (with margin: 0.001)

Step-by-step explanation:

speed = distance ÷ time

For speed to be at a minimim you need distancemin ÷ timemax

Min distance = 345 - 0.5 = 344.5m

Max Time = 44.6 + 0.05 = 44.65 sec

speedmin=344.5 ÷ 44.65 = 7.7155..... = 7.716 m/s (3 dp)

The slowest speed possible of the athlete is required.

The minimum possible speed of the runner is 7.7 m/s.

Speed

d = Distance run by the athlete = 345 meters

t = Time taken by the athlete to cover the distance = 44.6 seconds

Speed is given by

[tex]s=\dfrac{d}{t}[/tex]

[tex]s=\dfrac{345}{44.6}[/tex]

[tex]s=7.735\approx 7.7 \text{m/s}[/tex]

The speed of the athlete should be at least 7.7 m/s any less than that and the athlete will not be able to cover the required distance in the given time.

Learn more about speed:

https://brainly.com/question/6504879

The formula for distance traveled d is d=rt, where r is the average speed of the object and t is time traveled. if an object travels 30 meters in 20 seconds, what is its speed?

Answers

Answer:

1.5 meters per second.

Step-by-step explanation:

Distance formula:

d = rt

where d = distance, r = average speed and t = time traveled.

They told us that an object travels 30 meters in 20 seconds.

So we can say d = 30 and t = 20

if you put these values back into the distance formula you get:

d = rt

30 = r times 20

30 = 20 r

So now we want to find what "r" (average speed) is.

Divide both sides by 20.

20 r = 30

r =   = 1.5 meters per second.

A box is 13.5 inches long, 9.25 inches wide, and 4.5 inches high. What is the volume of the box? Enter your answer, rounded to the nearest whole number, in the box.

Answers

Step-by-step explanation:

1st Step:

Volume of a cuboid : Length * Breath * Height

2nd Step :

Volume : 13.5 * 9.25 * 4.5

Which is equal to 561.9375

3rd Step:

Rounded up : 562

Answer:

562

Step-by-step explanation:

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