The following function represents the production cost f(x), in dollars, for x number of units produced by company 1:

f(x) = 0.15x2 − 6x + 400

The following table represents the production cost g(x), in dollars, for x number of units produced by company 2:

Answers

Answer 1

The function of the production cost is a quadratic function, and the maximum production cost of the company is $340

How to determine the maximum production cost of the company?

The function of the production cost is given as:

f(x) = 0.15x² - 6x + 400

Differentiate the function

f'(x) = 0.3x - 6

Set the function to 0

0.3x - 6 = 0

Add 6 to both sides

0.3x = 6

Divide both sides by 0.3

x = 20

Substitute x = 20 in f(x) = 0.15x² - 6x + 400

f(20) = 0.15 * 20² - 6 *20 + 400

Evaluate

f(20) = 340

Hence, the maximum production cost of the company is $340

Read more about quadratic functions at:

https://brainly.com/question/18797214

#SPJ1


Related Questions

Kevin works 2 hours more than emily each time they work together. Using this information, complete the table

Answers

If Kevin works two more hours than Emily, the correct number of hours that complete the table are 6, 5, 8, and j.

How many hours do Kevin and Emily work?

The number of hours can be expressed as:

The number of hours Emily works = K - 2 or the number of hours Kevin works minus 2.The number of hours Kevin works = E + 2 or number of hours Emily works plus 2.

What are the missing numbers?Emily = Kevin4 hours = 6 hous (E+2)5 hours (K-2) = 7 hours 6 hours = 8 hours (E+2)h= j (E+2)

Learn more about mathematics in: https://brainly.com/question/15209879

please help with the question​

Answers

Answer: (A) 11,-2/5

Step-by-step explanation:

when we solve the equation we get x=10 -5/2y and  3 x- 10 y = 37

then we substitute the value of "x"  3 (10-5/2y)- 10y=37

then we substitute the value oh "y" y= -2/5

solution

(x,y) = (11, -2/5)

On an eight-day hiking trek, Sam utilized six loaves of elf bread. If he consumes the same quantity of bread every day, he wants to know how many loaves of elf bread (b) he should bring on a 12-day hiking trip.
For a 12-day trip, how many loaves of elf bread should Sam bring?

Answers

Answer:

9

Step-by-step explanation:

So you would make use of the rules of direct proportion. When A increases B would also increase vice versa, in this case, A would represent the number of days and B would represent the amount of Elf Bread consumed. Let's say that the unknown value would be D. If we place this into a table it would say:

[tex]\left[\begin{array}{ccc}Days&8&12\\Number of loaves&6&D\end{array}\right][/tex]

Next, you'll make use of the cross-multiplication rule.

So 8 X D = 12 X 6

8D = 72

You'll then divide each side by 8.

[tex]\frac{8D}{8}[/tex] = [tex]\frac{72}{8}[/tex]

D = 9

Sam would consume 9 loaves of day for a 12-day trip.

Hope that I've explained this well enough

ANSWER ASAP, ILL GIVE BRAILIEST

Which measurement goes from one outside edge all the way across to the other outside edge?

Diameter
Circumference
Radius

Answers

Answer:

circumference

Step-by-step explanation:

circumference shows us how sowmthing goes around. like have you ever been to the doctor and they said theyre checking a babys head circumference? theyre checking it all over.

The yearbook committee polled 80 randomly selected students from a class of 320 ninth graders to see if they would be willing to pay more for a yearbook if their names were printed on the front. of the students who were surveyed, 26 of them said they would be willing to pay extra.

with a desired confidence interval of 90%, which has a z*-score of 1.645, what is the margin of error of this survey?

Answers

Using the z-distribution, as we are working with a proportion, it is found that the margin of error for the 90% confidence interval is of 0.0524 = 5.24%.

What is a confidence interval of proportions?

A confidence interval of proportions is given by:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which:

[tex]\pi[/tex] is the sample proportion.z is the critical value.n is the sample size.

The margin of error is given by:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In this problem, the critical value is given as z = 1.645, and since 26 out of 80 students said they would be willing to pay extra:

[tex]n = 80, \pi = \frac{26}{80} = 0.325[/tex]

Then, the margin of error is of:

[tex]M = 1.645\sqrt{\frac{0.325(0.675)}{80}} = 0.0524[/tex]

More can be learned about the z-distribution at https://brainly.com/question/25890103

A can of vegetables is 4.5 in. high and has a diameter of 3 in. Find the volume of the can to the nearest tenth of a unit. Use 3.14 for π.

Answers

Answer:

i dont know i tried really really hard i wish i could help

Step-by-step explanation:

Pythagorean theorem. Show your work!
Please help in really stuck!!

Answers

Answer:

[tex]\sqrt{29[/tex]

Step-by-step explanation:

Pythagorean theorem is a^2 + b^2 = c^2. "a" and "b" represent the side lengths QR and PR, while "c" represents the hypotenuse PQ.

Let's plug in these values:

2^2 + 5^2 = c^2

4 + 25 = c^2

29 = c^2

sqrt 29 = c

Therefore "c" is the square root of 29.

Answer:

My answers is basically 29^2 or [tex]\sqrt{29}[/tex]

Step-by-step explanation:

Pls help!!!!!!!!!!!!!!!!!!!!!!!

Answers

C (-4, 0). That's the right answer!

What are the zeros of the following function?

Answers

Answer:

-4 and 2

Step-by-step explanation:

the graph intersects the x-axis only at the points (-4,0) and (2,0) so the only zeroes of the graph are going to be -2 and 2

Leah flips a coin and then she spins the spinner with 3 equal sections colored red green and blue what is the probility that the coin flips heads and the spinner lands on wither red or blue enter youanwser a percentage to the nearest percent

Answers

Answer:

33%

Step-by-step explanation:

Prob(heads) = 1/2

Prob(either red or blue) = 2/3

So Prob( heads and red/blue) = 1/2 * 2/3

= 2/6

= 1/3   which is 33%.

Find the area of each.

Answers

Answer:

Hope the pictures will help you..

Can someone help me please?

Answers

Answer:

[tex]\bold{ \sf \theta = \dfrac{\pi }{9} , \ \ \dfrac{2}{9} \pi , \ \dfrac{7 \pi }{9}, \ \ \dfrac{8\pi }{9}, \ \dfrac{13\pi }{9}, \ \dfrac{14\pi }{9}}[/tex]

Explanation:

[tex]\dashrightarrow \ \ \sf 2sin(3\theta) = \sqrt{3}[/tex]

[tex]\dashrightarrow \ \ \sf sin(3\theta) = \dfrac{ \sqrt{3}}{2}[/tex]

[tex]\dashrightarrow \ \ \sf 3\theta = sin^{-1}(\dfrac{ \sqrt{3}}{2})[/tex]

[ your calc should be in radian mode [R] ]

[tex]\dashrightarrow \ \ \sf 3\theta = \dfrac{\pi }{3} , \ \ \dfrac{2}{3} \pi , \ \ \dfrac{7 \pi }{3}, \ \ \dfrac{8\pi }{3}, \ \dfrac{13\pi }{3}, \ \dfrac{14\pi }{3}[/tex]

[tex]\dashrightarrow \ \ \sf \theta = \dfrac{\pi }{9} , \ \ \dfrac{2}{9} \pi , \ \ \dfrac{7 \pi }{9}, \ \ \dfrac{8\pi }{9}, \ \dfrac{13\pi }{9}, \ \dfrac{14\pi }{9}[/tex]

Jorden has $275 in his bank account. The bank will pay Jorden 4% interest per year on the value of his account. If Jorden doesn’t add to his account or withdraw any money, how much will he have in his account after one year?

Answers

Answer: $11.00



Step-by-step explanation: Please see attached PDF.



1.5 = 0.25 + g

solve the equation and find the value of the variable

Answers

Answer:

its easy it should be 1.25 or well that the answer I got

1. What is the 90th percentile if the sample size is 11?

2. What is the simple size if the degree of freedom is 30?
A. 29
B. 31
C. 28
D. 30

3. What is the t-value if the sample size is 16 and area is 0.10?

4. In the t-distribution, what is the degree of freedom if n = 19?

I NEED IT NOW PLSS

Answers

The answer should be D. I believe so

The following pattern has been formed from a circle with a diameter of 6cm that has been broken up into five congruent sectors. Calculate the perimeter of the pattern to four decimal places

Answers

The perimeter of this following pattern is

30.8496cm

Suppose a jar contains 11 dimes, 21 nickels, and 12 pennies. Find the probability of randomly choosing a penny from the jar, and then choosing a dime from the jar after the first coin is replaced.

Write the probability as a fraction in simplest form

Answers

11\44 for the dime, and 12\44 for the penny.

Step-by-step explanation:

11 dimes + 21 nickels + 12 pennies = 44 coins. 12\44 probability of randomly choosing a penny from the jar. And 11\44 probability of randomly choosing a dime AFTER the penny is replaced.

Can you help me with this one

Answers

Answer:

??

Step-by-step explanation:

pls type the question properly have a good day:-)

Which is the equation for line B?
A. y= 4/3x
B. y=3/4x
C. y=3/2x

Answers

Answer:

b. y = 3/4x

Step-by-step explanation:

you can count it on the graph or use the slope formula

The answer is B. y=3/4x

Which inequality does the graph represent (pls I’m HORRIBLE at number lines so please answer both if possible, Ty)

Answers

Answer:

For #11 it is X≥-2.  For #12 it is X<-1 I think

Step-by-step explanation:

I hope this helps you and please mark me as brainliest

Write equations for the horizontal and vertical lines passing through the point (3,9)

Horizontal line:
Vertical line:

Answers

Answer:

Horizontal: y = 9

Vertical: x = 3

Step-by-step explanation:

Any point is given in the form (x,y). The first number is the x and the second number is the y.

Horizontal lines (a left-right line like the horizon) have an equation in the form "y = anumber" This works because a horizontal line has ZERO slope. So there is no x in the equation because--

y = 0x + b

y = b (a number, use the y-number from the point)

A vertical line has undefined slope so you can't even pretend to use a slope equation. A vertical line (up and down) has an equation in the form

"x = anumber" Use the x from the point.

Horizontal line through (3,9) is y=9.

Vertical line through (3,9) is x=3

Everly's age is 2 years more than 3 times Gage's age .If Everly is 23 years old, which equation represents how to find Gage's age ?
A 2e + 3 =23
B 2 e - 3 = 23
C 3e + 2 =23
D 3 e -2 = 23
need help please .

Answers

Answer:

Solution: C

Equation to find Gage's age:  3g + 2 = 23  (where g is Gage's age)

Step-by-step explanation:

Let e = Everly's age

Let g = Gage's age

Given:

Everly's age is 2 years more than 3 times Gage's age:

⇒ e = 3g + 2

Given

Everly is 23 years old

⇒ e = 23

Combine the equations to create an equation to find Gage's age:

⇒ 3g + 2 = 23

To find Gage's age, solve the equation for g:

⇒ 3g + 2 = 23

⇒ 3g = 21

⇒ g = 7

Therefore, Gage is 7 years old

i need help 9th grade math

Answers

(f + g)(x) is another way of writing f(x) + g(x).

Given that

(f + g)(x) = 10x + 7

f(x) = 6x + 2

it follows that

g(x) = (f + g)(x) - f(x)

g(x) = (10x + 7) - (6x + 2)

g(x) = 4x + 5

g(x) be n

Now

n+6x+2=10x+7

Interchange x

n+2=10x-6x+7n+2=4x+7n=4x+7-2n=4x+5

Option D

The athlete usually hits the target with a probability of 0.86. How many times would he hit the target if he did 50 shots?​

Answers

The answer is 43

If the probability of the athlete hitting the target is 0.86 that means he would his the target 86 times out of 100.
Half of 100 is 50 so divide 86 by 2 to get 43

Steve drove 130 miles from Portland to Tacoma in 2 hours. If he continues to drive at the same speed, how long will it take him to drive 390? IS IT PROPORTIONAL

Answers

4 hours sorry if it is wrong

When an object is projected into the air, it follows the path of a parabola. The equation always has the
same form, but the numbers change based on the data for the projectile:
If a cannonball is launched from a height of 29.4 m above the ground with an initial velocity of 24.5 m/s,
then the equation that models its path would be h(t) =
-4.9+7 + 24.5t + 29.4. This graph shows its
path: What is the height of the cannonball before it is launched,
at t=0? Remember to include units

Answers

Answer:

29.4 m

Step-by-step explanation:

From the graph

You can clearly infer from the graph that the initial height of the cannon ball, before it is launched is 29.4 mJust find t = 0, and see where the line of the graph intersects the y-axis, which represents height of the cannon ball w.r.t time.

From the equation

An even simpler method is substitute t = 0 into the equation for the motion of the cannon ballh(0) = -4.9(0)² + 24.5(0) + 29.4h(0) = 29.4 m

Need help with this math question

Answers

Answer:

SAS

Step-by-step explanation:

The sides are equal on the same side

the angles are also equal

and the other sides too

Describe another way you can find 18 = 3.​

Answers

Answer:

divided by 3 on both sides

b) If you were to roll the dice 100 times, how often would you expect to get doubles?

Answers

If you're rolling a single cube, then ...

-- There are 6 possible out comes.

-- One of them (5) is a multiple of 5 .

-- The probability of rolling it is (1/6) = 16-2/3 % .

If everything is acting perfectly random, then ion 100 rolls,

you'd expect to succeed 16 or 17 times.

If you're rolling a pair of cubes, then ...

-- There are (6 x 6) = 36 possible outcomes.

-- There are seven ways to get a multiple of 5.

(1+4),  (4+1),  (2+3),  (3+2),  (4+6),  (6+4),  (5+5)

-- The probability of rolling one of those is

                                                            (7/36) = 19-4/9 % .

If everything is acting perfectly random, then in 100 rolls,

you'd expect to succeed 19 or 20 times.

solve the system of equations 25-x=-4y and 3x-2y=30

Answers

Answer:

the system of equations 25-x=-4y and 3x-2y=30

Step-by-step explanation:

the system of equations 25-x=-4y and 3x-2y=30

Answer:

(7, -9/2)

x=7

y=-9/2

Step-by-step explanation:

1. x=25+4y

2. 3x-2y=30

substitute 1 in 2

3. 75+12y-2y=30

simplify

10y=-45

y=-9/2

substitute y in to the second equation 3x-2y=30

3x+9=30

3x=21

x=7

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