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PIT_PIT [208]
3 years ago
12

The volunteers at a high school football team's concession stand are trying to decide on the price of the hot dogs they are sell

ing. 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.
Mathematics
1 answer:
Dovator [93]3 years ago
8 0

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 -8x^2 + 54x + 140.

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.

=-8(0)^2 + 54(0) + 140

=140

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.

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Find the area for the given shape below
Ket [755]
To find the area of a triangle given its base and its height, use the formula A = bh/2.

The base of the triangle is 14m.
The height of the triangle is 10m.

Plug these values into the formula and solve.

A = bh/2
A = 14(10)/2
A = 140/2
A = 70

Answer:
The area of the triangle is 70 m².
8 0
3 years ago
What is the difference between a rate and a unit rate? Show an example
QveST [7]

Answer:

Rate: In mathematics, a rate is the ratio between two related quantities in different units. If the denominator of the ratio is expressed as a single unit of one of these quantities. "The most common type of rate is "per unit of time."

Unit Rate: A unit rate is a rate with 1 in the denominator. If you have a rate, such as price per some number of items, and the quantity in the denominator is not 1, you can calculate unit rate or price per unit by completing the division operation: numerator divided by denominator.

Step-by-step explanation:

8 0
4 years ago
The Chang family is on their way home from a cross-country road trip. During the trip, the function D (t) = 3260 - 55t can be us
Lilit [14]

Answer:

See below.

Step-by-step explanation:

D(t) = 3260 - 55t

The function that shows their distance from home as a function of time shows that they started 3260 miles from home and are driving at 55 miles per hour.

part a:

D(12) = 3260  55(12)

D(12) = 3260 - 660

D(12) = 2600

Interpretation: After 12 hours of driving home, they are 2600 miles from home.

part b:

D(t) = 2490

3260 - 55t = 2490

-55t = -770

t = 14

Interpretation: When they are 2490 miles from home, they have driven for 14 hours.

5 0
3 years ago
Help please if it was u u would want the same so please help
antiseptic1488 [7]
Simple...

you have: 8x-6y=1

You're trying to find m-->>using y=mx+b to re-write the line....

8x-6y=1

8x-6y=1
-8x      -8x

-6y=-8x+1

\frac{-6y}{-6} = \frac{-8x+1}{-6}

y=\frac{4}{3} x- \frac{1}{6}

Your slope m=\frac{4}{3} x

Thus, your answer.

3 0
3 years ago
12 - 16 ÷(-4)<br><br> A. -1<br> B. 1<br> C. 8<br> D. 16
Naya [18.7K]

Answer:

D. 16

Step-by-step explanation:

Do the division first

-16 ÷ (-4) = 4 then do the sum

12 + 4 = 16

7 0
3 years ago
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