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. Using this equation, find out the maximum amount of profit the company can make, to the nearest dollar.
y=-8x^2+242x-1056

Answers

Answer 1

The equation is that of a parabola, meaning that the maximum (or sometimes minimum) is 1/2 the sum of the solutions found using the quadratic equation.

y = 0 for the 2 solutions to {-b +/- sqrt[b2 - 4ac]} / 2a, where a = -3, b = 152 and c = -1150 from the equation for y. Plug a, b and c into the quadratic formula to get x = 9.2571 and x = 41.4095 as the 2 solutions.

9.2571 + 41.4095 = 50.6666... and the midpoint is 25.3333...

When x = 25.3333..., y = 775.33333.....

To the nearest cent, x=25.33 results in a profit of 775.33.

When x=25.25, Y = 775.31

When x=25.4, Y = 775.32

These are both less than 775.33 when x = 25.33.


Related Questions

What is the correct answer?

Answers

Answer:

B

Step-by-step explanation:

If the temperature increases then it gets hotter so the outcome is that more people would go to a water park .

- the hotter it gets,the more people

I need help, I’ve been stuck on this question plz

Answers

Answer:

when distributing the first equation 1/4(8y+24) it is actually 2y+6 because 1/4*24= 6 not 8

Step-by-step explanation:

What is the measure of angle P?

Round only your final answer to the nearest hundredth.

Answers

Answer:

i think its 130

Step-by-step explanation:

hope this helps? :|

10 times the difference of y and 5?

Answers

Answer:

10(y-5)

Hope this helped!!

I need help with this please !

Answers

Answer:

1 or 2

Step-by-step explanation:

Both look wrong, but 1 seems worse. Sorry if this is wrong.

Answer:

step 2 is wrong...-4-3=-7

Step-by-step explanation:

This is proportional, true or false? (Proportional means it has an equivalent ratio/constant rate of change/the same rate) (True=yes, it's proportional, false means it is not proportional) y = 12x

Answers

Answer:

Yes/True

Step-by-step explanation:

The given expression is :

y = 12 x

We know that, Proportional means it has an equivalent ratio / constant rate of change / the same rate.

Here,

y ∝ x

12 is the constant of proportionality

Hence, the given expression is proportional.

Shane works at an electronics store. he earns 13% comission on his sales. Shane's comission this month $780. what are his total. sales for this mounth?​

Answers

Answer:

$6000

Step-by-step explanation:

let's find the unit rate first

we know that 780 is 13% of all his sales so what we can do is find the unit rate

780/13=60 so 1% of all the money is $60

Now we just do simple multiplication; 60*100=6000

So the original sale was $6000

Hope this helped, have a good day!

Answer:

6000

Step-by-step explanation:

780/13 = 60 (100)

           = 6000

answer this in 40 seconds for brainiest:)

Answers

Answer:

15

Step-by-step explanation: multiply 3x5 lol

A student is asked to find the length of the hypotenuse of a right triangle. The length of one leg is 32 centimeters, and the
length of the other leg is 26 centimeters. The student incorrectly says that the length of the hypotenuse is 7.6 centimeters
a. Find the length of the hypotenuse of the right triangle to the nearest tenth of a centimeter

Answers

Answer:

hypotenuse = 41.2

Step-by-step explanation:

[tex]c^{2} = a^{2} + b^{2}[/tex]

[tex]c^{2} = 32^{2} + 26^{2}[/tex]

[tex]c^{2} = 1024 + 676[/tex]

[tex]c^{2} = 1700[/tex]

[tex]\sqrt{c^{2}} = \sqrt{1700}[/tex]

[tex]c = 41.23[/tex] ⇒ [tex]41.2[/tex]

please help me Find the quotient of 24 and 12.

Answers

Answer:

2

Step-by-step explanation:

24/12 = 2

Answer:2??????? Are you dividing 24 by 12????

Step-by-step explanation:

Which is equivalent to (4 x y minus 3 z) squared, and what type of special product is it
question answer choices are:
A. 16 x squared y squared + 9 z squared, the difference of squares
B. 16 x squared y squared + 9 z squared, a perfect square trinomial
C. 16 x squared y squared minus 24 x y z + 9 z squared, the difference of squares
D. 16 x squared y squared minus 24 x y z + 9 z squared, a perfect square trinomial

Answers

Answer:

The answer is option D

Step-by-step explanation:

When factored out option C and D are the same but it is a perfect square, not the difference of squares.

Option (D) 16 x squared y squared minus 24 x y z + 9 z squared, a perfect square trinomial is the correct answer.

What is an algebraic expression?

An expression which is made up of variables and constants, along with algebraic operations (addition, subtraction, etc.). Algebraic expressions include at least one variable and at least one operation.

For the given situation,

The expression is (4xy-3z)^2.

This expression can be expand by using the formula,

[tex](a-b)^{2} = a^{2} -2ab+b^{2}[/tex]

Here, a = 4xy and b = 3z

⇒ [tex](4xy)^{2} -2(4xy)(3z)+(3z)^{2}[/tex]

⇒ [tex]16x^{2} y^{2} -24xyz+9z^{2}[/tex]

Hence we can conclude that option (D) 16 x squared y squared minus 24 x y z + 9 z squared, a perfect square trinomial is the correct answer.

Learn more about algebraic expression here

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On tax-free weekend, Miss Bailey plans to purchase 25 iPad minis for her class. The price of an iPad mini is $329. Use a strategy to determine the amount she will spend.


Explain your reasoning using models or pictures and words.

Answers

Answer:

$8225

Step-by-step explanation:

329 (amount for each ipad mini) x 25 (amount of ipad minis Missbailey is going to buy) = 8225.

If f(x) = 5x – 2 and g(x) = x+1, find (f = g)(x).
OA. 5x - x-3
B. 5x2 +1
O C. 5x® - X-1
D. 5x4 - 2

Answers

Answer: Choice A) 5x^3 - x - 3

=================================================

Work Shown:

We subtract the two functions like so

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

(f - g)(x) = ( 5x^3-2 ) - ( x+1 )

(f - g)(x) = 5x^3 - 2 - x - 1

(f - g)(x) = 5x^3 - x - 3 ..... choice A

Note: be sure to remember to distribute the negative to every term inside (x+1), and not just to the x only.

Trinidad Martinez sells office furniture. She is guaranteed a minimum salary of $2,500 per month plus commissions of 3.5%. Her total sales this month were $81,000 What is her total gross pay for the month?

Answers

Answer:

$5335

Step-by-step explanation:

Given data

Minimum salary= $2,500 per month

Commission=  3.5% of total sales

We are given that total sale = $81,000

Hence the expression for the gross pay

=2500+(3.5/100)*81000

=2500+0.035*81000

=2500+2835

=$5335

Hence the gross pay

=$5335

18. The Tennis for Champs company is looking into new ways to package tennis balls. The packaging engineer at the company is exploring options for vacuum packing the balls (removing the air from the containers in which they are packaged) so they will retain good bounce. He wonders how much air there is in a standard container of tennis balls. Find the amount of empty space in a cylindrical container that is 18 cm tall and contains three tennis balls 6 cm in diameter. Use 3.14 for pi.

Answers

Answer:

Amount of empty space in the cylinder = 395.64 cm³

Step-by-step explanation:

Since the cylinder contains 3 tennis balls each measuring 6 cm in diameter, we can say that the diameter of the cylinder is 6 cm because the balls are on top of each other. Since we have 18 cm is the height of the cylinder,then;

Formula for volume of a cylinder is;

V = πr²h

We are to use π = 3.14

Thus, V_cylinder = 3.14 × (6/2)² × 18

V_cylinder = 508.68 cm³

Volume of a tennis ball is;

V_tennis ball = (4/3)πr³

V_tennis ball = (4/3) × 3.14 × (6/2)³

V_tennis ball = 37.68 cm³

Thus, volume of 3 tennis balls = 3 × 37.68 = 113.04 cm³

Amount of empty space in the cylinder = V_cylinder - V_3 tennnis ball = 508.68 - 113.04 = 395.64 cm³

A catering company loses $110 as a result of a delay. The 5 owners of the company must share the loss equally. Which quotient represents each owner's share of the loss? A.–110 ÷ 5 B.–110 ÷ –5 C.110 ÷ 5 D. 110 ÷ –5
Hurry!

Answers

Answer:

c

Step-by-step explanation:

110 divide it by 5 because there are 5 owners and you should get $2.2

What is the power of 15?
PLS ANSWER QUICKLY! :(

Answers

Answer:

165

Step-by-step explanation:

165 shoukd be

please help me


The lengths of a triangle are 50 m, 120 m, and 130 m. Which formula could be used to show that the triangle is a right triangle?

A. 502 + 1302 = 1202
B. 1202 + 502 1302
C. 1302 + 1202 = 502
D. 502 + 502 1202​

Answers

Answer:

Step-by-step explanation:

1302 + 1202 = 502

Answer:

1302 + 1202 = 502

Step-by-step explanation:

Cant really explain. 1302 + 1202 = 502

12x −2 + 6 > 3 is.........?

Answers

Answer:

x > -1/2 is the answer

Step-by-step explanation:

x>-1/12 should help!

Look at the number line.
+++
0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 5.5 6 6.5 7 7.5
Which absolute value expression represents the distance
shown on the number line?
OA) 12.5 + 5
OB) 12.5 - 5
OC) 12.50 – 151
OD) 12.5] + 151

Answers

This is so confusing. I don’t understand it

Describe these points with a double inequality

Answers

Answer:

E

Step-by-step explanation:

so much words sis sossy

Answer:

Step-by-step explanation:

[tex]-3$<$ x\le 13[/tex]

Write an equation that you can use to solve for x.

Enter your answer in the box.

Answers

Answer:x= 40

Step-by-step explanation:

x+80+60= 180 (angles on a straight line)

A book costs $45. Sales tax on the book is 7%. Write two different expressions that represent the final cost of the book in dollars. One of the expressions should use only a single multiplication and no other operations.

Answers

Answer:

7% of 45=3.15   and   3.15= 7% of 45

Step-by-step explanation:

The final cost of the book is, 45-7% of 45=41.85   and  

41.85= 45-7% of45.

What is  multiplication?

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

Here, given that,

A book costs $45.

Sales tax on the book is 7%.

So, the final cost =$45-$( 7% of 45)

                            =$45-3.15

                            =$41.85

Hence, The final cost of the book is, 45-7% of 45=41.85   and  

41.85= 45-7% of45.

To learn more on multiplication click:

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What is 25% of 14 I need help ASAP

Answers

Answer:

3.5

Step-by-step explanation:

25*14= 350

350/100

3.5

Answer:

25% of 14 =

3.5

Step-by-step explanation:

hope this help have a good day

(I’M MARKING BRAINLIEST)


Plzzz help meeeeee!!!

Answers

0,0 1,6 2,12 3,18 and the second graph. have a great day

write an expression with the same meaning as " 7 less than the square of a number

Answers

[tex]7 < {n}^{2} [/tex]

17 gallons of water are used to completely fill 5 fish tanks. If each tank holds the same amount of water, how many gallons will each tank hold? Express your answer as a mixed number.

Answers

Answer:

3.4 or 3 and 2/5 is how much water each fish tank will hold.

Step-by-step explanation:

Please help me I just don't understand!!!!!!!!!!!!!

Answers

Answer:

Oh the answer is C

Step-by-step explanation:

Answer:

Volume of a Cylinder - h(pi)(r)^2

V=15(3.14)(4^2)

V=15(16)(3.14)

V=240(3.14), or 240 pi

The answer is D. 240pi or 753.98

Let me know if this helps!

PLS HELP ASAP! GIVING BRAINLY!!

Answers

Answer:

A

Step-by-step explanation:

1-0.045=0.955

A circular trampoline has a radius of 8 feet. Wendy wants to buy a cover for the trampoline. What will be the area of the cover?
8 square feet
16 square feet
645 square feet
2560 square feet

Answers

The answer is b- 16 square feet.
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