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lord [1]
3 years ago
15

If the demand function for a commodity is given by the equation

Mathematics
1 answer:
Jet001 [13]3 years ago
3 0

Answer:

q=26.92 p=31.13

Step-by-step explanation:

p^{2} +16q=1400\\\\q=\frac{1400-p^{2} }{16} ;\\\\700-p^{2} +10q=0\\\\q=\frac{p^{2}-700 }{10} ;\\\\

q=q\\\\\frac{1400-p^{2} }{16} =\frac{p^{2}-700 }{10} \\\\10(1400-p^{2})=16(p^{2}-700)\\\\14000-10p^{2}=16p^{2}-11200\\\\14000+11200=16p^{2}+10p^{2}\\\\25200=26p^{2}\\\\p^{2}=\frac{25200}{26} \\\\p=+\sqrt{\frac{25200}{26}} \\\\p=31.13

replace p in any equation and

q=\frac{1400-p^{2} }{16} \\\\q=\frac{1400-(31.13)^{2} }{16}\\\\q=26.92

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One hundred times the quantity two plus seven
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900 is <span>One hundred times the quantity two plus seven</span>
5 0
3 years ago
Solve: -3= 12x-5(2x-7)
leonid [27]

Answer:

x = -19

Step-by-step explanation:

-3= 12x-5(2x-7)

Distribute

-3= 12x-10x+35

Combine like terms

-3 = 2x +35

Subtract 35 from each side

-3-35 = 2x+35-35

-38 = 2x

Divide each side by 2

-38/2 = 2x/2

-19 =x

7 0
3 years ago
What is the solution to the equation below? Round your answer to two decimal places.
vodka [1.7K]

Answer:

x = 0.5

Step-by-step explanation:

2(2x-1)=3

2(2x)+1=3

        -1  -1

2(2x)=2        2x2=4

4x=2

4÷4 Cancels out the 4 in X

2÷4=0.5

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x = 0.5

4 0
3 years ago
Help pls! Brainliest!
blagie [28]

Answer:

y =-3000x +12000

Step-by-step explanation:

answer is

1)   12000 is the constant therefore when the number of hours is 0 the tickets are 12000

2)  the number of tickets (y) are reducing by 3000 for each hour(x). thus the coefficient of variable x should be -3000  (negative because it is reducing)

8 0
2 years ago
Respond pls <br> To get some points
Ipatiy [6.2K]
<h2>Answer:</h2>

1/2

<h2>Step-by-step explanation:</h2><h3>Known :</h3>
  • The school football team has a match tomorrow
  • The probability of the team winning is 1/6
  • The probability of the team drawing is 2/6

<h3>Asked :</h3>
  • The probability of the team losing

<h3>Solution :</h3>

Probability of the team losing the match = 1 - 1/6 - 2/6

Probability of the team losing the match = 6/6 - 1/6 - 2/6

Probability of the team losing the match = 3/6

Probability of the team losing the match = 1/2

<h3>Conclusion :</h3>

The probability of the team losing the match is 1/2

7 0
2 years ago
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