A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the given equation. y=-x^2+72x-458 We need to sell each widget at $ ___ in order to make a maximum profit of $ ____

Answers

Answer 1

Answer:

x = $36 , y = $ 838

Step-by-step explanation:

Solution:-

The company makes a profit of $y by selling widgets at a price of $x. The profit model is represented by a parabola ( quadratic ) equation as follows:

                       [tex]y = -x^2 + 72x -458[/tex]

We are to determine the profit maximizing selling price ( x ) and the corresponding maximum profit ( y ).

From the properties of a parabola equation of the form:

                      [tex]y = ax^2 + bx + c[/tex]

The vertex ( turning point ) or maximum/minimum point is given as:

                     [tex]x = -\frac{b}{2a} \\\\x = -\frac{72}{-2} = 36[/tex]

The profit maximizing selling price of widgets would be x = $36. To determine the corresponding profit ( y ) we will plug in x = 36 in the given quadratic model as follows:

                    [tex]y ( 36 ) = - ( 36 )^2 + 72 ( 36 ) - 458\\\\y ( 36 ) = -1296 + 2592 - 458\\\\y ( 36 ) = 838[/tex]

The maximum profit would be y = $838


Related Questions

Use the Venn diagram to list the elements of the set in the roster form

Answers

Answer:

Write a 75-100 word essay on the topic "Should people keep animals as pets?" No copying from other websites, I will mark your answer brainiest If I Like It!

Step-by-step explanation:

Write a 75-100 word essay on the topic "Should people keep animals as pets?" No copying from other websites, I will mark your answer brainiest If I Like It!

Write a 75-100 word essay on the topic "Should people keep animals as pets?" No copying from other websites, I will mark your answer brainiest If I Like It!

HELPPPP FIRST GET BRAINLLEST Measure the difference between the lower quartile of Data Set A and the lower quartile of Data Set B. Round to the nearest tenth when performing all operations.

Answers

Answer:

26

Step-by-step explanation:

Let's find first the lower quartile in both A and B

steps:

look for the smallest sum of two consecutive numbers divide by 2 to get the lower quartile

A

73 and 75 are the smallest consecutive numbers

73+75 = 148 148/2 =74

The lower quartile in A is 74

B

47 and 49 are the smallest consecutive numbers

47+49 = 9696/2 = 48

The lower quartile in B is 48

74-48 = 26

Answer:

29

Step-by-step explanation:

To find the lower quartile of each you need to find the median to split them into 2 groups (upper and lower quartile).

Lower quartile of Set A: 73, 75, 79, 81, 84, 85

Lower quartile of Set B: 47, 49, 51, 51, 55, 56

Now you find the median of the 2

Set A: 80

Set B: 51

Lastly you subtract A & B and get 29

*PLEASE ANSWER ASAP TY* Which of the following statements best describes a segment of a circle? a.) A segment is a portion of a sector that is bound by a chord and the major arc formed by that chord. b.) A segment is a portion of a sector that is bound by a radius and the minor arc formed by that radius. c.) A segment is a portion of a sector that is bound by a radius and the major arc formed by that radius. d.) A segment is a portion of a sector that is bound by a chord and the minor arc formed by that chord.

Answers

Answer: D

Step-by-step explanation:circle by a secant or a chord

A segment of a circle can best be described as: D. A segment is a portion of a sector that is bound by a chord and the minor arc formed by that chord.

What is a Segment of a Circle?

The segment of a circle can be described as the region that is covered or surrounded by a chord and the corresponding arc that lies at both endpoints of the chord.

An example of a segment of a circle is shown in the picture attached below.

Therefore, the statement that best describes a segment of a circle is: D. A segment is a portion of a sector that is bound by a chord and the minor arc formed by that chord.

Learn more about segment of a circle on:

https://brainly.com/question/436329

Multiply 4/5 × 3/20. in simplest form

Answers

━━━━━━━☆☆━━━━━━━

▹ Answer

3/25

▹ Step-by-Step Explanation

[tex]\frac{4}{5} * \frac{3}{20} \\\\= \frac{12}{100} \\\\\frac{12}{100} divide each side by 4\\\\\frac{12}{100} \\\\= \frac{3}{25}[/tex]

Hope this helps!

CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

4/5 * 3/20
= 4*3/5*20
=12/100
=3/25

Rewrite the formula to determine the number of tickets they need to sell

Answers

Answer:

n = [tex]\frac{p}{(d-c)}[/tex]

Step-by-step explanation:

The goal is to solve for n meaning n needs to be by itself. In the current formula, n is multiplied by (d-c). Get n by itself by dividing both sides by (d-c).

determine which function has the greatest rate of change as x approaches infinity
f(x)= 2^x- 10
g(x)=16x-4
h(x) = 3x^2-7x+8
there is not enough information to determine the answer​

Answers

Answer:

f(x)= 2^x-10

Step-by-step explanation:

Exponential functions are ALWAYS greater in the long run!

Answer:

A) f(x) = 2^x − 10

Step-by-step explanation:

I graph all of these functions and f(x) = 2^x − 10 surpasses the other two functions.  Exponential growth functions always exceed linear growth functions over time.

When solving this system of linear equations with the elimination method,
you can multiply the bottom equation by 3.
3x +6y - 38
3( 5x - 2y) = 3(-30)
This step works because of the
O A. commutative property
O B. multiplication property of equality
O C. distributive property
O D. addition property of equality

Answers

Answer:

B.

Step-by-step explanation:

Multiplication property of equality.

A simple example is

 x = x    Multiply by 3:

3x = 3x

This step works because of the distributive property - option C.

System of Linear Equations

System of linear equations is the given term math for two or more equations with the same variables. The solution of these equations represents the point at which the lines intersect.

Properties of Multiplication

The properties of multiplication are:

Distributive:  a(b±c)=  ab±acComutative:   a . b = b. aAssociative:    a(b+c)=  c(a+b)Identity: b.1=b

For the given system linear system was used the distributive property. Because it was used as a common factor to multiply an expression with a sum.

Read more about the distributive property  here:

https://brainly.com/question/4077386

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Help help help help
Plz

Answers

Answer:

Step-by-step explanation:

Probability of getting any number less than 6 = 2/6 =1/3

So, It is unlikely

Answer:

2/6 or 1/3

Step-by-step explanation:

the two umbers less than 6 or 2 and 4. In total on the dice there is 6 numbers. so 2/6 is tha answer and then we spimlify

A cylinder has a volume of 675.1 cubic centimeters. The diameter of the cylinder is 10 cm. What is the height of the cylinder? (Assume = 3.14)

Answers

Answer:

8.6 cm

Step-by-step explanation:

V=pi r-squared h

diameter of 10 means radius of 5

675.1=3.14x5x5xh

675.1=78.5h

8.6

Find the value of x in the isosceles triangle shown below.

Answers

Answer:

x=10

Step-by-step explanation:

We can use the Pythagorean theorem to find x

The height meets the base at a right angle

The base is bisected ( cut in half) so the base is 6 the height is 8

a^2 + b^2 = c^2

6^2 + 8^2 = x^2

36+64 = x^2

100 = x^2

Taking the square root of each side

sqrt(100) = sqrt(x^2)

10 = x

Answer:

10

Step-by-step explanation:

This triangle is divided into 2 identical rigth triangles.

We will use the pythagorian theorem:

●8^2+ (12/2)^2 =x^2

● 64 + 36 = x^2

● x= 10

So x is 10

Using a System to Break Even

A company’s weekly revenue, in thousands, is modeled by the equation R = -p2 + 14p, where p is the price of the product it makes. The company is considering hiring an outside source to distribute its products, which will cost the company 4p + 24 thousand dollars per week.


Part B
Create a system of equations for the break-even point(s) of the company’s product to assist with the decision of hiring the distributor. Assume the distributor’s cost is the only cost that needs to be considered.

Answers

Answer: P^2 - 10p + 24 = 0

Step-by-step explanation:

Given that a company’s weekly revenue, in thousands, is modeled by the equation

R = -p2 + 14p,

where p is the price of the product it makes. The company is considering hiring an outside source to distribute its products, which will cost the company 4p + 24 thousand dollars per week.

If the company want to break even, the cost of hiring distributors will be equal to the revenue per week.

Therefore,

-P^2 + 14p = 4p + 24

Collect the like terms

-P^2 + 14p - 4p - 24 = 0

-P^2 + 10p - 24 = 0

Multiply all by minus sign

P^2 - 10p + 24 = 0

Find the table with unit rates greater than the unit range in the graph. Then arrange these tables in order from least to greatest unit rate?

Answers

Answer:

Except table 2, all tables have greater unit rate than the graph.

The required arrangements of tables is  

Table 2 < Table 1 < Table 3 < Table 5 < Table 4 < table 7 < Table 6

Step-by-step explanation:

Formula for unit rate :

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

From the given graph it is clear that the line passes through the points (0,0) and (11,20). So, unit rat of graph is

[tex]m=\dfrac{20-0}{11-0}=1.8181...[/tex]

Similarly, we need to calculate the unit rate for each table.

[tex]m_1=\dfrac{26-13}{14-7}=\dfrac{13}{7}=1.85714[/tex]

[tex]m_2=\dfrac{18-9}{10-5}=\dfrac{9}{5}=1.8[/tex]

[tex]m_3=\dfrac{34-17}{18-9}=\dfrac{17}{9}=1.88..[/tex]

[tex]m_4=\dfrac{42-21}{22-11}=\dfrac{21}{11}=1.9090..[/tex]

[tex]m_5=\dfrac{38-19}{20-10}=\dfrac{19}{10}=1.9[/tex]

[tex]m_6=\dfrac{50-25}{26-13}=\dfrac{25}{13}=1.923[/tex]

[tex]m_7=\dfrac{46-23}{24-12}=\dfrac{23}{12}=1.9166..[/tex]

Except table 2, all tables have greater unit rate than the graph.

The required arrangement of tables is  

Table 2 < Table 1 < Table 3 < Table 5 < Table 4 < Table 7 < Table 6

Answer:

table 3 table 5 table 4 table 7 table 6

Step-by-step explanation:

I just took the test

Write an ordered pair for each point graphed below.

Answers

Answer:

[tex]\boxed{(-1,4)}[/tex]

Step-by-step explanation:

The point is located in Quadrant II of the graph, where x-values are negative and y-values are positive.

Each marking on the graph represents one unit of distance. The two axes meet at the origin, where the coordinate point is equal to [tex](0,0)[/tex].

So, you can count backwards once from the origin to get your x-value ⇒ [tex]-1[/tex] and count up upwards four times from [tex]x=-1[/tex] to get your y-value ⇒ [tex]4[/tex].

Finally, place these in a coordinate point [tex](x,y)[/tex] ⇒ [tex]\boxed{(-1,4)}[/tex].

Answer:

(-1, 4)

Step-by-step explanation:

The point lies on the line x = -1.

The point lies on the line y = 4.

Where both lines intersect, that is the coordinate.

(x, y)

(-1, 4)

Find the magnitude of the vector.
(-2,-7)

Answers

Answer:

[tex]\sqrt{53}[/tex]

Step-by-step explanation:

[tex]\begin{pmatrix}-2&-7\end{pmatrix}\\=\sqrt{\left(-2\right)^2+\left(-7\right)^2}\\\\[/tex]

Then you need to simplify:

[tex]=\sqrt{2^2+\left(-7\right)^2}\\=\sqrt{2^2+7^2}\\=\sqrt{4+7^2}\\=\sqrt{4+49}\\=\sqrt{53}[/tex]

Answer:

53

Step-by-step explanation:

A particular movie theater charges $7.00 per adult and $4.50 per child. Suppose 450 people attended a movie and the total revenue from ticket sales was $2650. Write linear equations for the two constraints, where z represents the number of adults attending the
movie and y represents the number of children attending the movie. 1= ,2=?

Answers

Answer:

7z + 4.5y = 2650

z + y = 450

Step-by-step explanation:

The first equation represents the amount of money made from ticket sales for both adult and child tickets.

The second equation represents the amount of customers, both adult and child, that attended the theatre.

Using both equations you cans find the number of adults and children that attended the theatre.

Cheers.

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

Edit: Solving for the variables

There are two easy ways to solve for these values. The first is using an augmented matrix and solving with that method.

7 4.5 | 2650

1 1 | 450

After are augmented matrix is set up, we simply use row operations on the matrix to solve for 1s on the diagonal.

The second method for solving is equation addition or variable substitution to solve for each variable.

7z + 4.5y = 2650

z + y = 450

7(450-y) + 4.5y = 2650

3150 - 7y + 4.5y = 2650

-2.5y = -500

y = 200

Plug back in y into one of the equations to solve for z.

z + 200 = 450

z = 250

So there were 250 adults and 200 children.

Write the equations after translating the graph of y = | 1 /2 x−2|+3 one unit down,

Answers

Answer:

[tex]y=|\frac{1}{2} x-2|+2[/tex]

Step-by-step explanation:

If your original function is:

[tex]y=|\frac{1}{2} x-2|+3[/tex]

the translation of its graph vertically down one unit, can be obtained by simply subtracting 1 from the whole functional expression:

[tex]y=|\frac{1}{2} x-2|+3-1=|\frac{1}{2} x-2|+2[/tex]

The answer would be Y=1/2x-2 +2
Have a nice day

Which of the following graphs represents the equation below? y= 0.666667x + 3

Answers

Answer:

the last graph

Step-by-step explanation:

the y intercept is clearly shown as three and then using rise over run you can see that the slope is 2/3 or 0.667

Please answer both questions

Answers

Answer:

which question......

m to the b gimme gimme points :3

plz help me i have a fever and i don't want to do math

Answers

Answer:

Four books  because there are the most dots over that spot on the bottom number line thingy

The answers to this question would be 7

Which of the following equations have exactly one solution? Choose all answers that apply:
A -13x+12=13x+13
B -13x+12=13x-13
C 12x+12=13x+12
D 12x+12=13x-12
I need correct answer and description, so I can put Brainliest

Answers

Answer:

a

b

c

d

Step-by-step explanation:

Well lets look,

a)

If both slopes are different and have different y intercepts they have 1 solution.

So a has 1 solution

b)

Both slopes are different with different y intercepts.

1 solution

c)

Both slopes are different with different y intercepts

1 solution

d)

Different slopes different y intercepts

1 solution.

For proof look at the images below.

Thus,

the answer is a,b,c, and d.

Hope this helps :)

Match each solution to the equation it solves.

Answers

Hi there! Hopefully this helps!

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

Answer to the first equation: 3.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Answer to the second equation: 7

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Answer to the third equation: -2.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Answer to the fourth equation: -3

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Answer:

3

7

-2

-3

Step-by-step explanation:

in that exact order

At Paul Bunyan’s tree farm they sell Fraser firs and blue spruce trees. They plant saplings of these two kinds of trees that are 8 inches in 5 inches tall, respectively. The Fraser firs grow at a constant rate of 12 inches per year, and a blue spruce trees grow at a constant rate of 14 inches per year. After how many years will these trees be at the same height? Express your answer as a common fraction.

Answers

Answer: 3/2

Step-by-step explanation:

Hi, to answer this question we have to write the next expressions::  

Height 1= 8 +12 y

Height 2 =5 +14y

Where y = number of years

Since both heights must be the same

Height 1 = height 2

8+12y = 5+14y

solving for y:

8-5 =14y-12y

3 = 2y

3/2 =y

y = 3/2 years

Feel free to ask for more if needed or if you did not understand something.

8 + 12y = 5 + 14y

12y + 8 = 14y + 5

12y + 8 - 8 = 14y + 5 - 8

12y = 14y - 3

12y - 14y = 14y - 3 - 14y

-2y = -3

(-2y)/-2 = -3/-2

y = 3/2

The graph of F(x), shown below, has the same shape as the graph of
G(x) = x2. Which of the following is the equation of Fx)?
ASAP

Answers

Answer:

  B.  f(x) = x^2 -2

Step-by-step explanation:

The graph of f(x) is the graph of g(x) moved down 2 units, so is ...

  f(x) = g(x) -2

  f(x) = x^2 -2

_____

Adding a constant to the value of a function moves the graph vertically by the value of the added constant.

Use the De Morgan law that states: ~(p ∧ q) is equivalent to ~ p ∨ ~ q to write an equivalent English statement for the statement. It is not the case that a gun and a nose are both weapons. A gun is not a weapon or a nose is not a weapon. guns are not noses. A gun is a weapon but a nose is not. A gun is not a weapon and a nose is not a weapon.

Answers

Answer:

Write a 75-100 word essay on the topic "Should people keep animals as pets?" No copying from other websites, I will mark your answer brainiest If I Like It!

Step-by-step explanation:

Write a 75-100 word essay on the topic "Should people keep animals as pets?" No copying from other websites, I will mark your answer brainiest If I Like It!

Write a 75-100 word essay on the topic "Should people keep animals as pets?" No copying from other websites, I will mark your answer brainiest If I Like It!

The equivalent statement for the given statement -  It is not the case that a gun and a nose are both weapons is A gun is not a weapon or a nose is not a weapon.

What is De Morgan's Law?

The De Morgan's law states that → ~(p ∧ q) is same as (~ p ∨ ~ q). Theoretically, we can write it as → Not (A and B) is the same as Not A or Not B.

Given is the following statement - It is not the case that a gun and a nose are both weapons.

Now, we know that the De Morgan's law states that → Not (A and B) is the same as Not A or Not B. In the statement given -

A = gun

B = nose

~(p ∧ q) = Not(A ∧ B)

So, we can write it as -

~(p ∧ q) =  Not(A ∧ B) = A gun is not a weapon or a nose is not a weapon.

where -

A gun is not a weapon → ~p

or →

a nose is not a weapon → ~q

Therefore, the equivalent statement for the given statement -  It is not the case that a gun and a nose are both weapons is A gun is not a weapon or a nose is not a weapon.

To solve more questions on De Morgan's Law, visit the link below-

https://brainly.com/question/13265106

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PLEASE HELPPPPPPPPP!!! Graph the line that represents a proportional relationship between d and t with the property that an increase of 3 units in t corresponds to an increase of 4 units in d. What's the unit rate of change of d with respect to t? (That is, a change of 1 unit in t will correspond to a change of how many unites in d?) The unit rate is _____? Graph the relationship.

Answers

Answer:

Draw a straight line through these two points (0, 0) and (1, 3).

Step-by-step explanation:

"Proportional relationship" implies line or curve that goes through the origin; there is no "y-intercept" in this case.  

Plot a dot at (0, 0).  Next, move your pencil point 1 unit to the right (you'll end up at (1, 0), and then move it from there up to (1, 3).  Draw a straight line through these two points (0, 0) and (1, 3).

Answer:

The unit rate of change of d with respect to t is 4/3.

The graph should be: (0,0) and (3/4).

Step-by-step explanation:

I got it wrong on khan academy :/

so i went over here and answer it

In how many ways can you put seven marbles in different colors into four jars? Note that the jars may be empty.

Answers

Answer: 16384

Step-by-step explanation:

Given: Total marbles = 7  (All are distinct)

Total jars = 4

Assume that, the jar is empty.

When we put marbles in the jar, we need to choose jar each time.

For each marble, total choices = Total jars = 4

Then, by using the fundamental counting principle,

The number of ways to put seven marbles in different colors into four jars =

[tex]4^7[/tex]

= 16384

Hence, the required number of ways =16384

Answer:

your answer is 16384

Step-by-step explanation:

have a nice day.

Rectangle GHJK is rotated 180º using the origin as the center of rotation. What are the coordinates of the image’s point K after the rotation? On a coordinate plane, rectangle G H J K has points (2, negative 3), (8, negative 3), (8, negative 7), (2, negative 7). (–2, 7) (–7, –2) (–7, 2) (2, 7)

Answers

Answer:

(-2,-7)

Step-by-step explanation:

Answer:

-2,-7

Step-by-step explanation:

What is the Domain and Range *DON'T FORGET PARENTHESES AND BRACKETS*

Answers

Answer:

D= {-6,-5,-4,-3,-2,-1,0,1,2,3,4,5,6}

R={-6,-5,-4,-3,-2,-1,1,2,5)

Step-by-step explanation:

Pls help with this question thank u all

Answers

Answer:

4 cm (A)

Step-by-step explanation:

triangle BAC is just a larger version of triangle EAD. given that ED is 5cm, and BC is 10cm, triangle BAC must be twice the size of EAD. since the ratio of AD to ED is 4:5, and BC is twice the size, all we need to do is multiply both sides by 2 to find length AC. 4*2 = 8. now we can subtract length AD from AC to get CD. 8 - 4 = 4.

sorry if what i wrote is a little confusing

Answer:

(A) 4cm


Explanation

Which value is equivalent to 7 multiplied by 3 multiplied by 2 whole over 7 multiplied by 5, the whole raised to the power of 2 multiplied by 7 to the power of 0 over 5 to the power of negative 3, whole to the power of 3 multiplied by 5 to the power of negative 9?

Answers

Answer:

36/25

Step-by-step explanation:

((7*3*2)/7*5)^2 * ((7^0)/(5^-3))^3 * 5^-9

(42/35)^2 * (1/5^-9) * 5^-9

36/25 * 5^9 * 5^-9

36/25 * 5^(9-9)

36/25 * 1

Answer:

35/25

Step-by-step explanation:

i hope this helps

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