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Helga [31]
3 years ago
15

For the pair of supply-and-demand equations, where x represents the quantity demanded in units of 1000 and p is the unit price i

n dollars, find the equilibrium quantity and the equilibrium price. 2x + 7p − 56 = 0 and 3x − 11p + 45 = 0
Mathematics
1 answer:
Liono4ka [1.6K]3 years ago
8 0

Answer:

7 and 6 respectively

Step-by-step explanation:

Firstly, we have to solve the equations simultaneously.

2x + 7p = 56

3x - 11p = -45

Multiply equation I by 3 and ii by 2

6x +21p = 168

6x - 22p = -90

Subtract the second from first to yield:

43p = 258

p = 6

Insert this in equation 1 where we have 2x + 7p = 56

2x + 7(6) =56

2x + 42 = 56

2x = 14 and x = 7

The equilibrium price is 6 and the equilibrium quantity is 7

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Answer:

3(x-2)(x+5)

Step-by-step explanation:

1. Factor out common term 3

3(x^2 +3x-10)

2. Factor (x^2 +3x-10)

3(x-2)(x+5)

8 0
4 years ago
You are saving money for a new phone. You must have at least $800 saved up in
NeX [460]

Let number of hours needed to work = x

Multiply number of hours by rate: 15x

Add what you already have saved:

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This needs to equal at least 800:

The equation becomes:

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6 0
3 years ago
Which of the following is a binomial?. c2 + c + 6. c2 - 16. -8c. c3 + 4c2 - 12c + 7. Which of the following is a monomial?. c2 +
vlabodo [156]
A monomial has one term, binomial has two terms, trinomial has three terms, and a polynomial has four or more terms.

Therefore, in the first question, c2-16 is the binomial while -8c is the monomial in the second question.

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

7 0
3 years ago
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Olin [163]

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3/4 students (75/100)

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6 0
2 years ago
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Molodets [167]

Answer:

b. type II

Step-by-step explanation:

given that food inspectors  inspect samples of food products to see if they are safe. This can be thought of as a hypothesis test with the following hypotheses.

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Ha: the food is not safe

It was concluded from the hypothesis test that the food is safe while it was not actually safe.

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8 0
3 years ago
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