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garik1379 [7]
3 years ago
11

Suppose that the demand Q^Dand supply Q^Sfor maize meal in Kimberley is given by p=120-0.7Q^Dand p=3+0.2Q^S where the quantity i

s in thousands of kilograms and the price (p) is in rands per kilogram. Answer the following: Find the market equilibrium quantity, and the equilibrium price of maize meal. (2 marks)
Mathematics
1 answer:
bixtya [17]3 years ago
8 0

Answer:

  20 rands/kg

  130,000 kg

Step-by-step explanation:

The equilibrium quantity and price are the solution to the system of equations ...

  p = 120 -0.7q

  p = 3 + 0.2q

Setting these equal, we get ...

  0.2q +3 = p = -0.7q +120

  0.9q = 117 . . . . . . . add 0.7q-3 to both sides

  q = 117/0.9 = 130

  p = 3 +0.2·130 = 29

The equilibrium price of maize meal is 29 rands per kg; the market equilibrium quantity is 130,000 kg.

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A recipe says to use 3 cups of flour to make 48 cookies. What is the constant of proportionality that relates the number of cook
Nina [5.8K]

Answer:

1 cup of flour(x)=16 cookies(y)

Step-by-step explanation:

3 cups of flour=48 cookies

3/3=48/3

1 cup of flour=16 cookies

4 0
2 years ago
what is a linear function and a nonlinear fuction and how can you tell if the ordered pairs go to them
vfiekz [6]

9514 1404 393

Answer:

  • linear: slope between any two points is the same
  • non-linear: slope between two points may differ

Step-by-step explanation:

A function is a linear function if the slope between any two ordered pairs is the same as it is between any other two. That is, the ordered pairs of a linear function will all fall on the same line when they are graphed.

__

A nonlinear function is one that is not linear. That is, its points do not all fall on the same line when graphed. Slopes between different pairs of points may differ.

_____

<em>Detailed Example</em>

If you are given two tables to compare, it is easiest if the x-values (inputs) are separated by a constant amount. For example, x = -2, 0, 2, 4. These all differ by 2. Then the y-values (outputs) of a linear function will all differ by the same quantity. For example, outputs 10, 15, 20, 25 for the above inputs would correspond to a linear function. This one is y = 2.5x +15.

If the output values for that same set of inputs do not have constant differences, then the function is nonlinear. For example, outputs 10, 15, 21, 27 have differences of 5, 6, 7, so correspond to a nonlinear function. This one happens to be y = (x^2 +22x +120)/8.

__

If the input values are not uniformly spaced, then you can check to see if the slope between one pair of points is the same as the slope for the next pair, and so on. The slope formula is ...

  m = (y2 -y1)/(x2 -x1)

For our first table, the first pair of points (-2, 10) and (0, 15) are on a line with slope ...

  m = (15 -10)/(0 -(-2)) = 5/2

Of course, when the calculations are repetitive, it is convenient to use a spreadsheet or calculator to do them. See the attachment for the calculations for this example.

4 0
3 years ago
PLEASE PLEASE PLEASE HELP ME WITH THESE! Or I WILL FAIL!! PLEASE
Serga [27]
First ones 40 and I’m not sure bout the second one but through process of elimination either always or never cause nothing in math is uncertain or non existent
6 0
3 years ago
A number is less than 30 but greater than 10.
GenaCL600 [577]
The answer is 16 and 26. Both are less than 30 and greater than 10 and have 6 in the one’s place.
7 0
2 years ago
I need help, someone please explain. I don't need the answers i just don't get it.
shepuryov [24]
What answers well whats the question?
4 0
2 years ago
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