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

2,034627 rounded to the nearest hundread thousand

Answers

Answer:

2,000,000

Plzzzzz give me Brainliest!!!!!  

The perimeter of a square can be expressed by the function f(s) = 4s, where s is the length of the side in inches.

How do the mathematical domain and reasonable domain compare?

Answers

Answer:

Mathematical domain is all numbers, as all numbers can be multiplied by 4. However, this is not reasonable as negative lengths don't exist, so the reasonable domain would be all positive numbers.

Identify all of the root(s) of g(x) = (x2 + 3x - 4)(x2 - 4x + 29).
-1
1
-4
4
2 + 5i
2-5i
-2 + 10i
-2 - 10i

Answers

Answer:

B, C, E, F

1, -4, 2+5i, 2-5i

Step-by-step explanation:

The roots of the function g(x) are -4 and 1.

What is a function?

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

To find the roots of the given function, we need to find the values of x that make the function equal to zero.

This can be done by factoring the function and setting each factor equal to zero.

g(x) = (x² + 3x - 4) (x² - 4x + 29)

Setting each factor equal to zero.

x² + 3x - 4 = 0

(x + 4)(x - 1) = 0

x² - 4x + 29 = 0

This quadratic has no real roots since its discriminant is negative.

The roots of g(x) are the values of x that satisfy either of these equations, which are:

x = -4 or x = 1

Thus,

The roots of the function g(x) are -4 and 1.

Learn more about functions here:

https://brainly.com/question/28533782

#SPJ5

Determine whether the following graph represents a function.

A. Function
B. Not a function

Answers

Answer:

B. not a function

Step-by-step explanation:

A function is a set of data in which no x values repeat, but where y values may or may not repeat.

Noah says that to find 20% of a number he divides the number by 5. For example, 20% of 60 is 12, because . Does Noah's method always work? Explain why or why not.

Answers

Answer:

Yes Noah's method will always work

Step-by-step explanation:

Noah's method states that:

To find 20% of a number he divides the number by 5. For example, 20% of 60 is 12.

Noah's method will always work because:

20% = 20/100

Simplifying 20/100 to the least fraction = 20/100 = 1/5

20% of x = 1/5 × x

= x/5 = x ÷ 5

Applying this to the examples

20% of 60 = 1/5 × 60

= 60/5 = 12.

Therefore, Noah's method will always work.

solve -3 + 1/2n = 1/2 (-n + 14) in 2 different ways 30 points if u answer and show your work.

Answers

Answer:

3

Step-by-step explanation:

Whoever gets this correct gets marked brainlest

Answers

Answer:

60 i think

Step-by-step explanation:

60 ..................

Does 2+1= 18? thank youuuu

Answers

Answer:

2 + 1 = 3

Step-by-step explanation:

The average blink last one-tenth of a second. If you blink 14,000 times per day, for how many seconds are your eyes closed while you’re awake? Divide this number by 60 to determine the number of minutes per day your eyes are closed while awake. (2 pts.)

Answers

Answer:

14?

Step-by-step explanation:

(8b^2/3*9t^3/5)(8b^5/3*9t^3/5)

Answers

Answer:

5,184•b•t^6/5

Step-by-step explanation:

Here, we want to multiply the expressions

According to indices law, if we have same bases, we add up the exponents

Thus, we have that;

8 *8b^(2/3+5/3) * 9 * 9 * t^(3/5+3/5)

= 64 * b * 81 * t^6/5

= 5,184bt^6/5

Solve for x : 4/5 x − 2 = 7

Answers

Answer: x = 45/4

Step-by-step explanation:

Answer:

11 1/4 simplified form

45/4 exact form

11.25 decimal form

Can anyone help mee!!!

Answers

Answer: I want to say 30 degrees you have to put the degree simble

Step-by-step explanation:

Answer: 30 degrees
Explanation: all of the angles added together in a triangle is equivalent to 180 degrees
180-130-20=30

Hello! Help please 5 questions for 17 points

Answers

1. 1/35 it goes up 35 and goes right 1

five more than three times a number is 26 what is the number

Answers

Answer:

The required number is 7

Step-by-step explanation:

Let a number = x

We are given the condition: five more than three times a number is 26

We need to find the number.

Writing the condition in mathematical form:

five more than three times a number is 26: [tex]3x+5=26[/tex]

Now, solving this equation we can find x, the number

[tex]3x+5=26\\[/tex]

Subtract 5 from both sides

[tex]3x+5-5=26-5\\3x=21[/tex]

Divide both sides by 3

[tex]\frac{3x}{3}=\frac{21}{3}\\x=7[/tex]

So, we get: x = 7

The required number is 7

Which expression represents "the product of a and b decreased by 9"?
A. ab - 9
B. 9 - ab
C. a:b-9
D. a = (b - 9)
PLEASEEEE ANSWERRRR!!

Answers

Answer:

the answer is A

Step-by-step explanation:

PLZ HELPPP The statement below represents an equation.



Which equation is represented by this statemen


1. 1/n+6=1/4÷2

2. n/6=1/4+n/2

3. 1/n+6=1/4+n/2

4. n/6=1/4xn/2

/ is fractions

Answers

Answer: It number 4

Step-by-step explanation:

help read the instructions​

Answers

Answer:

Step-by-step explanation:

1. Fig.2 is harder to drive on. Because the gravity is pulling you to opposite direction. Thats why there's no such roads on hills, they always go round and round to make the roads easier to drive on.

2. Fig.2 will build up more speed, because gravity will pull unidirectional from you.

3. (Realitiscally) no, DONT TEXT AND DRIVE. Even if you are driving on a flat ground.

4. No, of course not. In situation no.1 and 2, you can drive like that because there is gravitational pull coming from x and y axis. But from situation no.4, the gravitational pull is from y axis only, so it will only pull you down.

Find the area of 6cm 13cm

Answers

Answer:

the area of this rectangle is 78cm

Step-by-step explanation:

formula;

area=length ×width

a=13×6

a=78cm

what is the anser to the equation 2^{2x+2} = 2^{3x}
A) x = 2.5
B) x = 1
C) x = 2
D) x = -2

Answers

Answer: C) x = 2

2^{2x + 2} = 2^{3x}

Since both terms (above) have the same base, set the exponents to be equal:

2x + 2 = 3x (Rearrange to solve for x)

x = 2

∴ x = 2

(b)
Work out the value of
3 x 10 x 40 000 000
Give your answer in standard form,

Answers

i think the answer would be, 1200000000

3 * 10 = 30

30 * 40,000,000 = 1,200,000,000

ONE BILLION TWO HUNDRED MILLION

Multiply 3 times 10 first, then 30 times 40,000,000 and you get 1,200,000,000

Hope this helps ^-^

is -5(x-8)+2 equivalent to -5x-38

Answers

Answer:

Step-by-step explanation:

Yes!

Solve the following equation.
-12d - 6 = -2(d + 3) - 10d

Answers

Answer:

All real numbers

Step-by-step explanation:

Distribute the -2 to the parentheses:

-12d - 6 = -2(d + 3) - 10d

-12d - 6 = -2d - 6 - 10d

Add like terms:

-12d - 6 = -12d - 6

Since each side is equivalent to -12d - 6, the answer is all real numbers

Answer:

This is true for any value of d. (d ∈ Set of All Real Numbers (I couldn't find the symbol))

Step-by-step explanation:

1. Simplify both sides. You cannot simplify -12d - 6, but you can simplify -2(d + 3) - 10d. Use the distributive property to simplify this. It would be -2d + -2 * 3 -10d, which is equal to -12d - 6. If you simplify both sides, you would get that d=d, which would be true for all values of d, which means that d is equal to all real numbers, meaning that for any value for d, this would be true (d ∈ Set of All Real Numbers (I couldn't find the symbol)).

A shipping container will be used to transport several 100-kilogram crates across the country by rail. The greatest weight that can be loaded into the container is 26500 kilograms. Other shipments weighing 5300 kilograms have already been loaded into the container. Which inequality can be used to determine c, the greatest number of 100-kilogram crates that can be loaded onto the shipping container? Submit Answer 100c + 5300 26500 1000 + 5300 < 26500 26500 > 100(5300 + c) 26500 < 100(5300 + c)​

Answers

Answer:100c+5300<26500

Step-by-step explanation:

We are required to find the greatest number of 100-kilogram crates that can be loaded onto the shipping container

The the greatest number of 100-kilogram crates that can be loaded onto the shipping container is 212 crates

Greatest weight that can be loaded = 26500 kilograms

Weight of each crate = 100 kilogram

Weight of other shipment = 5300 kilograms

let

c = the greatest number of 100-kilogram crates that can be loaded

The inequality is

26500 ≥ 5300 + 100c

26500 - 5300 ≥ 100c

21200 ≥ 100c

c ≥ 21200 / 100

c ≥ 212

https://brainly.com/question/20898112

What is the equivalent of 6x - 12 ?

Answers

3x-6 , it’s basically simplified

Answer:

6(x−2)

Step-by-step explanation:

Factor 6x−12

6x−12

=6(x−2)

I need to find the missing exterior angle

Answers

Answer:

the mystery angle is 137

Step-by-step explanation:

45+60=105

180-105=75

37

137

180-137

43

180-43=137

the mystery angle is 137

Choose which expression doesn’t belong? State your reasoning.

Answers

-79 because you should always take out the ones with no decimals or parenthesis your welcome

Answer:

Step-by-step explanation:

This warm-up prompts students to carefully analyze and compare quadratic expressions. In making comparisons, students need to look for common structure and have a reason to use language precisely (MP7, MP6). The activity also enables the teacher to hear the terminology students know and how they talk about characteristics of the different forms of expressions.

As students discuss in groups, listen for rationales that are based on the structure of the expressions. Select those students or groups to share their thinking during class discussion.

Launch

Arrange students in groups of 2–4. Display the expressions for all to see. Give students 1 minute of quiet think time and then time to share their thinking with their small group. In their small groups, ask each student to share their reasoning about why a particular item does not belong, and together find at least one reason each item doesn't belong.

Student Facing

Which one doesn’t belong?

A.

B.

C.

ΔΔΔ⇔∈㏒㏒∞⇅⊃⊂↓∵↔→∨∧±×∛√Фπ

brainly and points :)

Answers

Answer:

Step-by-step explanation:

the volume of the cone=1/3 * 3.14*h*r^2= aprox 226 cubic inches

choice 3

Answer:

C

Step-by-step explanation:

I hope this helps you :)

12.12 ounces for 3 cups Unit rate

Answers

Answer:

4.04 oz per cup

Step-by-step explanation:

sry fam im not gonna give a step by step explanation cuz im in a rush, hope this is enough gl.

4.04 oz per cup

Hope it helps!!

Angles X and Y form a linear pair. If the measure of angle X = 3x + 127 and the measure of angle Y = 5x - 11, find the measure of angle Y.
A)8
B)29
C)53
D)161

Answers

The answer is C)53 hope this helped !

|-1
someone please answer this!!

Answers

Answer:

-1

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Im guessing abs value so 1?

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