The volunteers at a high school football team's concession stand are trying to decide on the price of the hot dogs they are selling. When they charge $2 for a hot dog, they sell an average of 70 hot dogs per game. With every $1 increase in the price, the number of hot dogs sold per game decreases by 8. The volunteers can calculate the revenue earned from selling the hot dogs at each game using the expression -8x2 + 54x + 140, where x is the number of $1 increases in price.

Answers

Answer 1

Answer:

The constant term in the polynomial is 140 and it represents the revenue when the price is not increased.

Step-by-step explanation:

To find: What is the constant term in the polynomial expression, and what does it represent?

The given expression is [tex]-8x^2 + 54x + 140[/tex].

To find the constant term we can simply put x=0 in the given equation where x represents the number of $1 increase in price.

=[tex]-8(0)^2 + 54(0) + 140[/tex]

=[tex]140[/tex]

The constant term is 140 and it represents the revenue when the cost of a hot dog is $2.

Hence, the constant term in the polynomial is 140 and it represents the revenue when the price is not increased.


Related Questions

The sum of 2 numbers is 56 and the difference is 16 what are the numbers

Answers

Answer:

36 and 20

Step-by-step explanation:

let x = one number

let y = second number

set up system of equations:

x + y = 56

x - y = 16

add the two equations to get:  2x = 72

therefore, x = 36 and y = 20

what is the value of x and y?

Answers

Answer:

y=70 x=20

Step-by-step explanation:

Answer:

The x-intercept is found by finding the value of x when y = 0, (x, 0), and the y-intercept is found by finding the value of y when x = 0, (0, y).

Step-by-step explanation:

x y = x + 2 Ordered pair

0 0 + 2 = 2 (0, 2)

1 1 + 2 = 3 (1, 3)

2 2 + 2 = 4 (2, 4)

this is probably not right but i gave an an example

:)

Solve for x and show your work.
12 = -4(-6x - 3) HELP​

Answers

Answer:

12= (24x+12) 0=24x Hope this helps

Answer:

x=0

Step-by-step explanation:

What is the solution to the equation 3x+2--x-5?
0 X=-B
x=-7
OX= 7
O X=8

Answers

Answer:

it x=-8 do it

Step-by-step explanation:

HALP! WORD PROBLEM 20 points: A store has reduced the price by $20. How large must the next discount be so the new price will be half of the original price? Express your answer as a percent to the nearest tenth.

Answers

Answer:

HALP word is wrong all word is but HALP is wrong.


will mark brainiest

Answers

Ok so you’d take 18 and divide that by 4.5. Then you would take the number you get and multiply it by 3. I hope that helps:) (I could be wrong)

Answer:

I am sure the answer is 36

Step-by-step explanation:

True or false: you flip the sign every time you multiply or divide when you're solving an
inequality.

Answers

False. You only flip when the number you are multiplying/dividing is negative.

I really need help on this thank you. if I don’t turn this on time I will fail math class just like how I have failed my life:(

Answers

A. Total after tax is $26.70

B. 26.70 x 1.19 = $31.773

C. 84% of 75 is 63

heeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeelp thx in advance :)

Answers

Answer:

After multiplying, we get two Pythagorean triples (sorry for not writing it all out, it's a really long process). With those, we can simplify down to 289/100

please solve.
-7 = z over 2 + 1

Answers

-7=z/2+1

What you first need to do is to multiply both sides of the equation by 2

-14=z+2

Now you move the variable to the left side and change within it’s own sign

-z-14=2

Into

-z=2+14

Now you then add the numbers

-z=16

The last part you do is change the sign on both sides in this equation

z=-16

Therefore, z=-16 is your answer in number 16.
Z=-16 hopes this helps

6 pounds of candy cost $22.44 how much does it cost of 10 pounds

Answers

ANSWER:
$37.40
This is because
22.44/6= 3.74
and 3.74*10= 37.4
So answer is:
$37.40

Answer:

10 pound=$37.4

Step-by-step explanation:

$22.44 divide by 6 = one pound $3.74

$3.74*10= $37.4

b ^ 2 - 4b - 14 = 0

Answers

b^2 -4b -14= 0
For this equation: a=1, b=4, c=-14
Use the quadratic formula and plug in the values^
Answer: 2 + 3 square root of 2, 2 - 3 square root of 2

Graph the image of the figure after a dilation with a scale factor of 3 centered at (2, −7).

Use the Polygon tool to graph the quadrilateral by connecting all its vertices.

Here is a link to another brainly question that has the picture of my problem I just need a good answer for it and QUICK! 30 points https://brainly.com/question/12339482?exp=25-1

Answers

Answer:

Step-by-step explanation:

Point (-7,-2) is the center of dilation. The scale factor is 2.

If point A has coordinates (-3,-2), then its image point H has coordinates (1,-2).

If point B has coordinates (-6,2), then its image point E has coordinates (-5,6).

If point C has coordinates (-4,3), then its image point F has coordinates (-1,8).

If point D has coordinates (-1,1), then its image point G has coordinates (5,4).

Find the greatest common factor.
3x^2a+3xa^2

Answers

Since  

3

x

2

a

,

3

x

a

2

contain both numbers and variables, there are two steps to find the GCF (HCF). Find GCF for the numeric part then find GCF for the variable part.

Steps to find the GCF for  

3

x

2

a

,

3

x

a

2

:

1. Find the GCF for the numerical part  

3

,

3

2. Find the GCF for the variable part  

x

2

,

a

1

,

x

1

,

a

2

3. Multiply the values together

Find the common factors for the numerical part:

3

,

3

The factors for  

3

are  

1

,

3

.

Tap for more steps...

1

,

3

The factors for  

3

are  

1

,

3

.

Tap for more steps...

1

,

3

List all the factors for  

3

,

3

to find the common factors.

3

:  

1

,

3

3

:  

1

,

3

The common factors for  

3

,

3

are  

1

,

3

.

1

,

3

The GCF for the numerical part is  

3

.

GCF

Numerical

=

3

Next, find the common factors for the variable part:

x

2

,

a

,

x

,

a

2

The factors for  

x

2

are  

x

x

.

x

x

The factor for  

a

1

is  

a

itself.

a

The factor for  

x

1

is  

x

itself.

x

The factors for  

a

2

are  

a

a

.

a

a

List all the factors for  

x

2

,

a

1

,

x

1

,

a

2

to find the common factors.

x

2

=

x

x

a

1

=

a

x

1

=

x

a

2

=

a

a

The common factors for the variables  

x

2

,

a

1

,

x

1

,

a

2

are  

x

a

.

x

a

The GCF for the variable part is  

x

a

.

GCF

Variable

=

x

a

Multiply the GCF of the numerical part  

3

and the GCF of the variable part  

x

a

.

3

x

a

Answer: 3xa

Step-by-step explanation:

Find the prime factors of each term in order to find the greatest common factor

if a 60-page magazine cost $1.20 to print, find the cost per page to print.

Answers

2 cents per page to print

Answer:

the answer is 2 cents per page

PLS HELP MEEEEEEEEEE :(

Answers

Answer: c

Step-by-step explanation:

A

It’s A because it’s a normal slope intercept form equation so if u graph it it’ll just be an infinite line showing all the solutions aka all the points on the line

find the area of this parallelogram. be sure to include the correct unit in your answer

Answers

Answer:

84ft

Step-by-step explanation:

The formula to find the area of a parallelogram is b x h.

The base is 14ft and the height is 6ft. Multiply these together.

14 x 6 = 84ft

84ft have. A good day

Which graph is used to model piece rate pay?

A. Piecewise
B. Piece rate
C. Scatterplot
D. Quadratic equation

Answers

Answer:

C

Step-by-step explanation:

The equation of graph is solved and graph that is used to model piece rate pay is the "piece rate" graph

What is Equation of Graph of Polynomials?

Graphs behave differently at various x-intercepts. Sometimes the graph will cross over the x-axis at an intercept. Other times the graph will touch the x-axis and bounce off.

Identify the even and odd multiplicities of the polynomial functions' zeros.

Using end behavior, turning points, intercepts, and the Intermediate Value Theorem, plot the graph of a polynomial function.

The graphs cross or are tangent to the x-axis at these x-values for zeros with even multiplicities. The graphs cross or intersect the x-axis at these x-values for zeros with odd multiplicities

Given data ,

The graph that is used to model piece rate pay is the "piece rate" graph. The piece rate graph shows how much money is earned for each unit of work completed. It is a linear graph with a slope that represents the rate of pay per unit of work completed.

The other graphs mentioned are used for different purposes:

A piecewise graph is used to represent a function that is defined by multiple equations on different intervals.

Hence , the graph is solved

To learn more about equation of graph of polynomials click :

https://brainly.com/question/16957172

#SPJ7

If you could help I would really appreciate it, but if not that’s fine. Thank you.

Answers

Answer:

Option C is correct answer.

Step-by-step explanation:

We need to draw the graph of piece wise function

[tex]f(x)\[ \begin{cases} -2-x & if\:x\leq 1 \\ -3+2x & if\: x>1 \end{cases}\][/tex]

So, for drawing the graph, we will find values of f(x) for both the given equations.

First finding f(x) for [tex]-2-x \:\: if\:x\leq1[/tex]

The value of x must be less than or equal 1

x       f(x)

1        -3

0       -2

-1       -1

-2       0

-3       1

-4       2

The graph will start from closed circle because x ≤ 1

Now, finding values of f(x) for [tex]-3+2x\: if\:x>1[/tex]

The value of x must be greater than 1

x        f(x)

2        1

3        3

4        5

5        7

The graph will start from open circle because x> 1

Now, plotting these numbers we will get graph of Option C.

Option C is correct answer.

Ryan buys landscape supplies that total $179.92 before tax. The sales tax amount is $14.39. What percent sales tax did Ryan pay?

Answers

Answer:

Step-by-step explanation:

thx for the points

the answer to this question is 7.997999110715874

A student is riding a bicycle and sees a traffic light that is 50 feet away.The vertical distance between the traffic light and the student is 14 feet.The student also notices a helicopter at an angle of elevation of 82°.The helicopter is directly above the traffic light.To the nearest tenth of a foot ,what is the vertical distance between the student and the helicopter?

Answers

Answer:

50-14= your answer .

82-your answer

Step-by-step explanation:

The vertical distance between the student and the helicopter is 341.5 feet.

What are trigonometric angles?

Trigonometric angles are the angles in a right-angled triangle using which different trigonometric functions can be represented. Some standard angles used in trigonometry are 0º, 30º, 45º, 60º, 90º.

Given that, a student is riding a bicycle and sees a traffic light that is 50 feet away.

Here, sinx°= 14/50

sinx°=0.28

x°=16.26°

Now tan16.26°=14/p

0.2916=14/p

p=14/0.2916

p=48

tan82°=v/48

7.1153=v/48

v=7.1153×48

v=341.5 feet

Therefore, the vertical distance between the student and the helicopter is 341.5 feet.

Learn more about the trigonometric angles visit:

brainly.com/question/24174128.

#SPJ2

..please help someone, im begging you. theres two screenshots i took bc its either a, b, c, or d

Answers

Answer:

It's C

Step-by-step explanation:

c!! have a good day and stay safe

1)Ellen wanted to buy the following items:
∙ A DVD player for $49.95 ∙ A DVD holder for $19.95 ∙ Personal stereo for $21.95
Does Ellen have enough money to buy all three items if he has $90.s

Answers

Answer:

[tex]\huge\boxed{\tt{ No.}}[/tex]

Step-by-step explanation:

DVD player = $ 49.95

DVD Holder = $ 19.95

Personal Stereo = $ 21.95

Sum of Prices = $ 49.95 + $ 19.95 + $ 21.95 = $ 91.85

Ellan has $ 90 which is less than $ 91.85 which means that Ellan does not have enough to buy all three items.

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

A cherry pie has a 16 inch diameter. What is its approximate area? Round to the nearest hundredth. (Use 3.14 for π)

Answers

Answer:

200

Step-by-step explanation:

Formula to find the area: πr²

First, find the radius: 16 ÷ 2 = 8

The radius is 8. So...

= 3.14 (8²)

= 3.14 × 64

= 200.96

Rounded to the nearest hundredth: 200

Answer:

200.96

Step-by-step explanation:

A=3.14r^2(formula for area of a circle)

r=16/2=8

r=8

A=3.14*8^2=200.96

what is 1+2=? i need to know if it’s 2 or 12

Answers

Answer:

3

Step-by-step explanation:

1+2 = 3

The answer will be 3

Shawn is playing a game with a set of cards. Half of them are blue and the other half are yellow. In the game, the player guesses the color of the top card, looks at the card, and returns the card to the deck. The player continues to do this, shuffling the deck after each guess.

Shawn has guessed the first three attempts as "blue” and has been correct on each guess. He says he will guess "yellow” for the next card since a yellow card is due to happen. Is Shawn’s reasoning correct?

Yes, Shawn has guessed well so far, so it is clear that he cannot miss.
No, all of the cards have been blue so far, so the next one must also be blue.
Yes, half of the cards are yellow, so the fourth card should be yellow to compensate for the first three cards being blue.
No, the law of large numbers says that the proportion of yellow cards should approach the true probability after many trials.

Answers

Answer:

No, the law of large numbers says that the proportion of yellow cards should approach the true probability after many trials.

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

edge 2020

determine the length of AB​

Answers

Answer:

the answer is 2.

Step-by-step explanation:

How do I know this? well, those red arrows on the line show that those 2 sides (ED) and (AB) are congruent which means they are equal. therefore if they are equal and we know ED is 2, then we know AB is also 2. Hope this helped :)

help please! area of rectangles and squares.

Answers

Answer:

2x squared + 25

Step-by-step explanation:

Step-by-step explanation:

area of rectangle

height×base

(2x-5)(2x-2)=

=4x^2-4x-10x+10

=4x^2-14x+10

(we get quadratic equation)

a=4 b=-14 c=10

firat find discriminant with formula:

D=b^2-4ac(-14)^2-(4×4×10)=196-160=36

now find x1 and x2 with formula:

X=(-b±√D)/2a

x1=(14+√36)/8=20/8=2.5

x2=(14-√36)/8=8/8=1

lets put values :

if we put x2 value as a base, which is 1 in given height and base, we will get 2(1)-2=0. measure of amy side can't be 0.

and if we put x2 in height, it will give us zero.

so no matter which one we put as value. we will get 0cm^2. so i think it cant be detected. im sorry if im wrong

solve for x and express in simplest radical form

Answers

soooo this is a pythagorean theorem problem:
6cm^2 - 4cm^2 = x
36 - 16 = x
20 = x
then take the square root of 20
4.47 = x

Pls help and show workings please

Answers

Answer:

A. AAS(Angle-Angle-Side)

Step-by-step explanation:

From the image, you can already see 1 angle and 1 side measured.

But, angle KLJ and angle MLN are congruent to each other as well because they are vertical angles (angles on opposite sides). And vertical angles are always congruent to each other.

So in total, we have 2 angles and 1 side congruent to each other,

<KLJ and <MLN

<LKJ and <LMN

KJ and MN

From the other (based on the image), they are ordered in a angle angle, side format. So the answer is AAS.

Hope I was able to help! Good Luck!

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