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Travka [436]
3 years ago
12

When x=6...................,,,.,..,.,

Mathematics
2 answers:
Zinaida [17]3 years ago
7 0
It’s going to be 1/2(6^2 + 4) = 20
Elenna [48]3 years ago
7 0
The correct answer is 6^2/2 +2
Glad to help!
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PLEASE HELP ASAP!!! CORRECT ANSWERS ONLY PLEASE!!!
mariarad [96]

\frac{x^{2}+x-4}{x^{2}+3x+2}

Micah did not explain the last step correctly.  You cannot cross out a term from the numerator and denominator unless it is a factor.  In other words, x² needed to be multiplied and not added in order to cross it out.


5 0
2 years ago
A university is trying to determine what price to charge for tickets to football games. At a price of ​$ per​ ticket, attendance
Anika [276]

This question is incomplete, the complete question is;

A university is trying to determine what price to charge for tickets to football games. At a price of ​$24 per​ ticket, attendance averages 40,000 people per game. Every decrease of ​$4 adds 10,000 people to the average number. Every person at the game spends an average of ​$4 on concessions. What price per ticket should be charged in order to maximize​ revenue? How many people will attend at that​ price?

Answer:

a) price per ticket = $18

b) 55,000 will attend at that price

Step-by-step explanation:

Given that;

price of ticket = $24

so cost of ticket = 24 - x

every decrease of $4 adds 10,000 people

for $1 adds 2,500 people

Total people = 40000 + 2500x

Revenue function = people × cost + people × 4

so

R(x) = (40000 + 2500x)(24 - x) + (40000 + 2500x)4

R(x) = 960,000 - 40000x + 60000x - 2500x² + 160,000 + 10000x

R(x) = 1120000 + 30000x - 2500x²

R(x) = -2500x² + 30000x + 1120000

now for maximum revenue; R'(x) is to zero

so

R'(x) = d/dx(  -2500x² + 30000x + 1120000 ) = 0

⇒ -5000x + 30000 + 0 = 0

⇒ -5000x + 30000 = 0

⇒ 5000x = 30000

x = 30000 / 5000

x = 6

R'(X) = -5000 < 0 ⇒ MAXIMUM

∴ Revenue is maximum at x = 6

so cost of ticket ;

price per ticket = (24 - x) = 24 - 6 = $18

so price per ticket = $18

Number of people = 40000 + 2500x

= 40000 + (2500 × 6)

= 40000 + 15,000

= 55,000

Therefore, 55,000 will attend at that price

8 0
2 years ago
Given that is directly proportional to (p-1)2 and p is always positive, find the
Arturiano [62]

Answer:

p = 10.8

Step-by-step explanation:

Given that p is directly proportional to (p-1)² and p is always positive, then;

q = k (p-1)²

If q = 30 and p = 7

30 = k(7-1)²

30 = 6²k

30 = 36k

5 = 6k

k = 5/6

To get p when q = 80

q =k (p-1)²

80 = 5/6((p-1)²

480 = 5(p-1)²

480/5 = (p-1)²

(p-1)² = 96

p-1 = √96

p-1 = 9.8

p = 9.8 + 1

p = 10.8

B) 6

Ch 10.82

4 0
3 years ago
Please please help marking brainlist but if you dont know than dont answer please thank you
zloy xaker [14]

Answer:

1. z = 5,  2. w = 9

Step-by-step explanation:

1. 5z - 4 = 21

5z = 21 + 4

5z = 25

z = 25/5

z = 5

2. w/9 + 2 = 3

w/9 = 3 - 2

w/9 = 1

w = 1 x 9

w = 9

I hope this helps :)

5 0
3 years ago
Koalas sleep for 20hours a day. For what fraction of a day do koalas sleep?
vagabundo [1.1K]

Answer:

5/6

Step-by-step explanation:

There are 24 hours a day and a koala sleeps for 20 hours of it:

20/24

5/6

5 0
2 years ago
Read 2 more answers
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