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tester [92]
3 years ago
6

Read the following scenario, which is represented by a polynomial expression. Then answer the questions to interpret the parts o

f the expression in terms of the given context.
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.

Part A
What is the constant term in the polynomial expression, and what does it represent?
Mathematics
1 answer:
Effectus [21]3 years ago
6 0

Answer:

x is the number of $1 increase in the price.

If there is no increase, then the total money earned is

2 × 70 = 140

If there is $1 increase, then the total money earned is

(2 + 1) × [70 - 8(1)]

If there is $2 increase, then the total money earned is

(2 + 2) × [70 - 8(2)]

If we continue the pattern, for x times $1 increase, total money earned is

(2 + x)(70 - 8x) = -8x^{2} +54x+140−8x2+54x+140

If we substitute x = 0 in the above equation, we will get

the total money earned = $140.

It means if there is no increase, then the total money earned = 140.

Hence, 140 is the constant term and it represents that there is no increase in price.

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Please help thx so much ​
Mashcka [7]

Answer:

3.140

Step-by-step explanation:

hope this helped

5 0
2 years ago
Read 2 more answers
Given the points (3, 2) and (6, 4), which of the following are true about the line passing through these points? The line has a
Ad libitum [116K]

Answer:

The slope is 2/3 and the function is y=2/3x  which is a direct variation function.

Step-by-step explanation:

To find the slope of a line between two points, we use the equation

m = (y2-y1)/ (x2-x1)

where (x1,y1) and (x2,y2) are the two points

m= (4-2)/(6-3)

  = 2/3

The slope of the line is 2/3

The equation of the line is

y-y1 = m(x-x1)

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

Distribute

y-2 = 2/3x -2

Add 2 to each side

y-2+2 = 2/3x -2+2

y = 2/3x

This is a direct variation function

Let x = -6

y = 2/3(-6)

y = -4

(-6,-4)

3 0
3 years ago
HELP PLEASE I"LL GIVE 18 POINTS
Vladimir79 [104]
Times the two to get your answer.
3 0
3 years ago
Read 2 more answers
The figure below shows a rectangular lawn. 23ft 14ft (a) Use the calculator to find the perimeter and area of the lawn. Make sur
tamaranim1 [39]

The area and perimeter of the lawn will be 322 square feet and 74 feet. If the lawn will be mowed. Then the area will be used. If the lawn will be surrounded by a rope. Then the perimeter will be used.

<h3>What is a rectangle?</h3>

It is a polygon with four sides. The total interior angle is 360 degrees. A rectangle's opposite sides are parallel and equal, and each angle is 90 degrees. Its diagonals are all the same length and intersect in the center.

The figure below shows a rectangular lawn.

Then the area of the rectangle will be

Area = 23 × 14

Area = 322 square feet

Then the perimeter of the rectangle will be

Perimeter = 2 (23 + 14)

Perimeter = 2 × 37

Perimeter = 74 feet

If the lawn will be mowed. Then the area will be used.

If the lawn will be surrounded by a rope. Then the perimeter will be used.

More about the rectangle link is given below.

brainly.com/question/10046743

#SPJ1

4 0
2 years ago
How many solutions does the equation 3(x+7)=20+3x+1 have?
Gala2k [10]
C. Infinitely many of solutions
5 0
3 years ago
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