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Likurg_2 [28]
2 years ago
5

Learning outcome: Solve a linear system of equations in two and three variables using algebraic methods. Read and solve word pro

blems by modeling them with systems of linear equations. Activity: Let p represent the selling price for a bluetooth device. Suppose that the demand equation for this device can be modeled as the linear function D(p) = 200- 5p and that the supply equation for the same device as S(p) = 10p. Find the equilibrium price and quantity for this device keeping in mind that at market equilibrium demand equals supply.
Mathematics
1 answer:
Talja [164]2 years ago
8 0

Answer: Equilibrium price would be $13.33 and equilibrium quantity  would be 133.3 units.

Step-by-step explanation:

Since we have given that

Demand function is stated as

D(p)=200-5p

Supply function is stated as

S(p)=10p

We need to find the equilibrium price and quantity for this device.

For equilibrium, D(p) = S(p).

so, it becomes,

200-5p=10p\\\\200=10p+5p\\\\200=15p\\\\p=\dfrac{200}{15}\\\\p=\$13.33

and when we put the value of p in any function:

Q=10\times 13.33=133.3\ units

Hence, Equilibrium price would be $13.33 and equilibrium quantity  would be 133.3 units.

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A jar contains only​ pennies, nickels,​ dimes, and quarters. There are 29 ​pennies, 13 ​dimes, and 21 quarters. The rest of the
aleksklad [387]

Answer:

First Question: <u>63 coins are not nickels.</u>

Second Question: <u>63+n=91</u>

Step-by-step explanation:

For your first question: 29+21=50 and 50+13=63. 63 coins are not nickels.

For your second question: You can do 29+21+13+n=91, I just simplified and said 63+n=91. You can choose.

Hope that this helps! Good luck with what you're working on!

6 0
2 years ago
Read 2 more answers
Which are the solutions of the quadratic equation x2 =-5-3
alexdok [17]

Answer: x = 2 • ± √2 = ± 2.8284

Step-by-step explanation:

Theory : A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

        A2 - AB + BA - B2 =

        A2 - AB + AB - B2 =  

        A2 - B2

Note :  AB = BA is the commutative property of multiplication.  

Note :  - AB + AB equals zero and is therefore eliminated from the expression.

Check : 8 is not a square !!  

Ruling : Binomial can not be factored as the difference of two perfect squares.

Equation at the end of step  1  :

 x2 - 8  = 0  

Step  2  :

Solving a Single Variable Equation :

2.1      Solve  :    x2-8 = 0  

Add  8  to both sides of the equation :  

                     x2 = 8  

 

When two things are equal, their square roots are equal. Taking the square root of the two sides of the equation we get:  

                     x  =  ± √ 8  

Can  √ 8 be simplified ?

Yes!   The prime factorization of  8   is

  2•2•2  

To be able to remove something from under the radical, there have to be  2  instances of it (because we are taking a square i.e. second root).

√ 8   =  √ 2•2•2   =

               ±  2 • √ 2  

The equation has two real solutions  

These solutions are  x = 2 • ± √2 = ± 2.8284  

 

Two solutions were found :

                  x = 2 • ± √2 = ± 2.8284

Not sure what you need help with, but I hope I helped you somehow.

5 0
3 years ago
Will mark brainliest<br> help?
Komok [63]

Answer:

It would go to quadrent 3

Step-by-step explanation:

4 0
3 years ago
I need help please and thanks
Akimi4 [234]
Perimeter of rectangle = all sides added
= 3+3+7+7 =20


volume of sphere = 4/3 x π x r(cubed)
= 4/3 x π X 4(cubed)
= 268.08257

area of triangle = base x height / 2
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volume of pyramid = base height x base width x height / 3
= 300

side of triangle ---> use Pythagoras theorem so a(squared) + b (squared) = c(squared)
4(squared) + 3(squared) = c(squared)
16 + 9 = c(squared)
25 = c(squared)
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yw sis xoxoxo





7 0
2 years ago
What is 3x + 2 (x-y) ?
AfilCa [17]

Answer:

5x-2y

Step-by-step explanation: u multiply

3 0
3 years ago
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