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The total profit function,​ P(x), for a company producing x thousand units is given by P(x)=−2x²+38x−120. Find the values of x for which the company makes a profit. [Hint: The company makes a profit when P(x)>0.] Explain and justify your answer.

Answers

Answer 1

Answer:

4 < x < 15.

Step-by-step explanation:

Solve -2x^2 + 38x -120 = 0 This gives x = 4 and x = 15. So the company makes a profit when the range of x is greater than 4 and less than 15. The graph of function is a flipped U which pass through x axis at 4 and x = 15. Above the x-axis is the area of profit.


Related Questions

If the length of AC equals 50, what is the length of the midsegment DE?
A)20
B)25
C)30
D)40

Answers

Answer:

25

Step-by-step explanation:

The mid-segment of the triangle is always parallel to the base and is half the length of the base



Claudine has $45. She gives
2
of her money to her sister. How much money did she give her sister?
Enter your answer in the box.
$

Answers

$43 dollars your welcome

Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominato 36 hr : 40hr

Answers

Answer:

Hello there! :) Well the fraction would be 36/40 but in simplest form it would be 9/10.

Step-by-step explanation:

The way you simple it down would be by 4. 36 ÷ 4 = 9 and 40 ÷ 4 = 10. I hope this helps

Answer:

9/10

Step-by-step explanation:

You would first find the GCF. 36 factors: 1, 2, 3, 4, 6, 9, 12, 18, 36. 40 factors: 1, 2, 4, 5, 8, 10, 20, 40. The GCF would be 4, so divide by 4 on both sides and you would have the ratio 9 hr.: 10 hr. If using part to whole it would be 9/10.

Hope this helps

A bike travels 7 feet in 1/3 of a second
At the same speed, how many feet will
it travel in 5 seconds?
A) 35 feet
B) 155 feet
C) 105 feet
D) 21 feet
A) 35 Feet
7x5-35

Answers

Answer:

C) 105 feet

Step-by-step explanation:

7(15) = 105 feet

Answer:

C

Step-by-step explanation:

Set one second to x

7 = 1/3x

5÷1/3 = 15

7*15 = 105

Thus, we get C, or 105 as our answer


Which of the following would be the most logical first step to solving this
quadratic equation?
x2 - 4x + 16 = 2

Answers

Answer:

subtract 2 on both sides

Subtract 2 on both sides

Yoko is mailing packages. Each small package costs her $2.20 to send. Each large package costs her $3.40. How much will
it cost her to send 3 small packages and 1 large package?

Answers

Answer:

$10

Step-by-step explanation:

3($2.20)+3.40

6.60+3.40=10

A triangle has side of lengths 5ft, 9ft and 13ft what is the measure of the angle opposite the side of 9ft long? Round to the nearest degree

Answers

The answer for the question is 29.63

Find the indicated side of the triangle

Answers

Answer:

plz upload photo for your question

please show your equation in a picture

4) Apply the distributive property to solve the following.
(14+ 15) - 3
Answer:

Answers

Answer:

26

Step-by-step explanation:

14+15=29

29-3=26

Answer:

26

Step-by-step explanation:

do what is in the parenthesis first which is 14+15 which = 29

then you just do 29-3 which = 26

Which arrangement of blocks has the least surface area?

Answers

Answer:

8 cubes separated

Step-by-step explanation:

HELP PLZ I NEED THIS DONE RN

Answers

DO NOT GO TO THAT LINK IT IS A VIRUS IF YOU SEE ANY LINKS REPORT THEY ARE ALL VIRUSES

sprinter started his race slowly and then increased his speed by 14.8 miles per hour to reach a top speed of 23 miles per hour. What was the sprinter's speed before he increased his speed?

Answers

Answer:

8.2

Step-by-step explanation: i think its 8.2

i dont know tho

The sprinter's speed before he increased his speed is 8.2 miles per hour.

What is Speed?

Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude.

Here, Change in Speed = 14.8 miles per hour

          Top speed = 23 miles per hour

Actual old Speed = Top Speed - increased speed

                              = 23 - 14.8

                              = 8.2 miles per hour

Thus, the sprinter's speed before he increased his speed is 8.2 miles per hour.

Learn more about Speed from:

https://brainly.com/question/7359669

#SPJ2

Open the Screenshot to see the problem

Answers

the answe is on the link i put below it’s a file! hopefully it helps

Can some please answer this

Answers

9514 1404 393

Answer:

  B  (2 violet)

Step-by-step explanation:

Let the colors be represented by their first letter. Then the balances give rise to two equation:

  o +y +b +v = r +g +b

  o +y +v = g +v

Subtracting the second equation from the first gives ...

  (o +y +b +v) -(o +y +v) = (r +g +b) -(g +v)

  b = r +b -v

Adding v-b to both sides, we have ...

  b +(v -b) = r +b -v +(v -b)

  v = r

Multiplying this result by 2, we can match the final balance:

  2r = 2v . . . . . . . choice B

Answer:

the answer is B.2 purple

Please help me thank u!

Answers

Answer:

Step-by-step explanation: x is our missing length

c^2=a^2+b^2

where c is the hypotenuse

28^2=24^2+x

x^2=28^2-24^2=784-576=208

x=[tex]\sqrt{208}[/tex]=14.4

Divide the given polynomial by given monomial.​

Answers

Answer:

i have made it in above picture

what's 1/10 of 4 meters

Answers

Answer:

2/5

Step-by-step explanation:

1/10 * 4 = 4/10

=2/5

Hope this helps :)

2.5 is 1/10 of 4 meters.

in order to save money for prom this weekend, Tom is going to walk his neighbor's dog for $6 per hour and wash cars for $7.50 per hour. His mother told him he can work no more than 15 hours in order to keep up with his homework. If Tom would like to make at least $75 to cover prom expenses, help him determine combinations of hours he can work between these two jobs.

a. Write and graph a system of inequalities.



b. Write two possible solutions:
I.
ii.​

Answers

Answer:

6x + 7.50y ≥ 75

Step-by-step explanation:

Let x = # of hours he walks the dog

     y = # of hours he washes cars

We also know that he cannot have any negative hours, so 2 lines that we need to graph will be y = 0, with everything above this line shaded in, and x = 0, with everything to the right of this line shaded in and these lines will be solid because you can have 0 hours.

Another equation will be x + y ≤ 15. We graph the line, which will be solid, y = -x + 15, and shade everything to the left of this line.

The last equation will be 6x + 7.50y ≥ 75. We graph this solid line, y ≥ (-6x + 75)/7.50 & shade everything to the right of this line. Any point inside the area shaded in by all 4 equations will be an answer. I'll leave this up to you.

Hope this helps!

To the nearest degree, what is m_A? Explain

Answers

Answer:

[tex]A= 53[/tex]

Step-by-step explanation:

Given

[tex]BC = 9,6[/tex]

[tex]AC = 7.2[/tex]

Required: Angle A

This is calculated using:

[tex]tan\ A = \frac{Opposite}{Hypotenuse}[/tex]

From the attachment;

[tex]Opposite = 9.6[/tex]

[tex]Adjacent = 7.2[/tex]

So:

[tex]tan A =\frac{9.6}{7.2}[/tex]

[tex]tan A =1.333[/tex]

Take arctan of both sides

[tex]A= tan^{-1}(1.333[/tex]

[tex]A= 53[/tex]----- approximated

Differentiate
respect to x, (3x²+2)³​

Answers

Answer:

3(3×2x + 0)(3x²+2)² = 18x(3x²+2)²

what is a ratio for 3 red buttons compared to 7 blue buttons

Answers

3:7 can be put in a ratio, do you have other informational text to go along with your question?

The ratio of 3 red buttons to 7 blue buttons is ...

3:7

Hope this helps, have a great day!

Find the volume of the composite solid shown below, Round answer to the nearest hundredth.

add the substitute
it means like adding a equation for both of them

Answers

First you’d start off by finding the volume of the rectangular prism on the bottom. The formula for this is lwh or (length*width*height) so you’d plug in the numbers and get 4*4*5 which multiplies out to be 80inches cubed. Next you’d have to find the volume of the pyramid by using the formula lwh/3 or ((length*width*height)/3) so it would be ((4*4*6)/3) and that equals 32inches cubed. Finally, you add the 2 volumes together so 80inches cubed+32inches cubed and get 112inches cubed. Hope this helps


Salma has ridden 18 miles of a bike course. The course is 20 miles long. What percentage of the course has Salma ridden so far?

Answers

Bbvvvvvvvvvvvgyh. JdJennie

what is bigger 1 yard or 35 inches

Answers

1 Yard is bigger than 35 inches

Answer:

1 yard

Step-by-step explanation:

in a yard there is 36 inches


There is sales of 40% off of the original price. If a mobile phone has a sale price of $180, what was the original price? Choose the correct answer.
A) $200
B) $280
C) $300
D) 320$

Answers

100%-40%=60%
60%=180
100%=? 180*100:60=300$ c)

Answer:

$300

Step-by-step explanation:

If the phone has a discount of 40% that means it cost 60% of the original price

X= original price (100%)

$180  =  60% of the original price

    X   =  100%

 CROSS MULTIPLICATION

60X   =   180x100

60X =  18000

Divide both sides by 60

X  = 300

Solve 5x÷6=20.

The solution is x=

Answers

we want to get x by itself
First we will multiply both sides by 6 to cancel out the 6 on the left
5x = 120
We then divide by 5 on both sides to get x by itself
x = 24
5x=20•6
5x=120
x=120/5
x=24
Answer is 24

A company made $785 in a ticket sale they sold 100 tickets how much did the company make per ticket if each ticket cost the same price

Answers

They made 7.85 per ticket

A golf pro wants to determine if Titleist Pro V1 golf balls (1) travel farther, on average, than Callaway Chrome Soft golf balls (2). A robot hits 9 of each ball, selected at random, and the distance traveled is measured. Assume the distances traveled are normally distributed. The average distance traveled by the 9 Titleist Pro V1 golf balls is 261.1 yards with standard deviation 10 yards, and the average distance traveled by the 9 Callaway Chrome Soft golf balls is 249.3 yards with standard deviation 12 yards.
Which test should the golf pro use to determine if Titleist Pro V1 golf balls travel a longer average distance than Callaway Chrome Soft golf balls?
a. pairedt test for means
b. paredz test for means
c. Ottest for proportions
d. test for means
e. test for means
f. Ottest for proportions

Answers

Complete options are;

A) Paired t-test for means

B) Paired Z-test for means

C) Z-test for proportion

D) t-test for means

E) Z-test for means

F) t-test for proportion

Answer:

B) Paired Z-test for means

Step-by-step explanation:

We are told that the distances travelled are normally distributed.

We are also trying to find out if the average distance travelled by the Titleist Pro V1 golf balls is farther than that of the Callaway Chrome Soft golf balls.

Also, the standard deviation of both cases are known.

Thus, this is where Paired Z-test for means is used.

According to the desired test, the correct option is:

a. paired t-test for means

At the null hypothesis, it is tested that ball 1 does not travel farther than ball 2, that is, the subtraction is of at most 0:

[tex]H_0: \mu_1 - \mu_2 \leq 0[/tex]

At the alternative hypothesis, it is tested if it travels farther, that is:

[tex]H_1: \mu_1 - \mu_2 > 0[/tex]

Since we have the standard deviation for the sample, the t-distribution is used.The values tested are greater than 1, hence, the test is for means.There are two samples, hence a paired test is used.

Considering the three bullet points above, the correct option is a.

For more on a paired t-test for means, you can check https://brainly.com/question/16162795

Electromagnetic radiation is more common than you think. Radio and TV stations emit radio waves when they broadcast their programs; microwaves cook your food in a microwave oven; dentists use X rays to check your teeth. Even though they have different names and different applications, these types of radiation are really all the same thing: electromagnetic (EM) waves, that is, energy that travels in the form of oscillating electric and magnetic fields.
Consider the following:
radio waves emitted by a weather radar system to detect rain drops and ice crystals in the atmosphere to study weather patterns;
microwaves used in communication satellite transmissions;
infrared waves that are perceived as heat when you turn on aburner on an electric stove;
the multicolor light in a rainbow;
the ultraviolet solar radiation that reaches the surface of the earth and causes un-protected skin to burn; and X rays used in medicine for diagnostic imaging.
Which of the following statements correctly describe the various forms of EM radiation listed above?
A. They have different wavelengths.
B. They have different frequencies.
C. They propagate at different speeds through a vacuum depending on their frequency.
D. They propagate at different speeds through non-vacuum media depending on both their frequency and the materialin which they travel.
E. They require different media to propagate.

Answers

Answer:

A. They have different wavelengths.

B. They have different frequencies.

C. They propagate at different speeds through a vacuum depending on their frequency.

Step-by-step explanation:

Electromagnetic waves have electric and magnetic fields which travel in the free space together. They travel at the speed of light and accelerate by particle oscillates. EM radiations are differently used for different purposes. They are modified in order to create micro waves or radio waves.

A study was conducted to examine the quality of fish after seven days in ice storage. For this study Y = measurement of fish quality (on a 10-point scale with 10 = BEST.)

X = # of hours after being caught that the fish were packed in ice. The sample linear regression line is: Y = 8.5 - .5X. From this we can say that:

a. a one-hour delay in packing the fish in ice increases the estimated quality by 0.5.
b. Can't really say until we see a plot of the data.
c. a one-hour delay in packing the fish in ice decreases the estimated quality by 0.5.
d. if the estimated quality increases by 1, then the fish have been packed in ice two hours later.
e. if the estimated quality increases by 1, then the fish have been packed in ice one hour sooner.

Answers

Answer:

From this we can say that;

c. A one-hour delay in packaging the fish in ice decreases the estimated quality by 0.5

Step-by-step explanation:

The sample linear regression line representing the study of the relationship between the quality of fish, 'Y', and the number of hours that elapse after being caught that the fish were packed in ice, 'X', is presented as follows;

Y = 8.5 - 0.5·x

The estimated quality of a fish after a 1 hour delay in packaging in ice, is given as follows;

When X = 1

Y = 8.5 - 0.5 × 1 = 8.0

Therefore, the quality of a fish decreases from 8.5 to 8.0 which is equivalent to a 0.5 decrease in the quality of the fish, after a 1 hour delay in packaging in ice after being caught.

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