Answer:p = (2100 - x)/25
Step-by-step explanation:
According to the law of demand, when the price,p of the brand of MP3 players is is high, the quantity,x of the brand of MP3 players demanded would be low and when the price,p of the brand of MP3 players is is low, the quantity,x of the brand of MP3 players demanded would be high.
To derive the demand equation, we would apply the slope intercept form of equation which is expressed as
y = mx + c
Where
m = slope
c = intercept
The slope, m would be
(y2 - y1)/(x2 - x1)
Slope = (1100 - 100)/(40 - 80) = 1000/-40
Slope = - 25
To find the y intercept, we would substitute m = - 25, y = 1100 and x = 40 into y = mx + c. It becomes
1100 = - 25 × 40 + c
1100 = - 1000 + c
c = 1100 + 1000 = 2100
y = - 25x + 2100
Therefore, the demand equation is
x = - 25p + 2100
25p = 2100 - x
p = (2100 - x)/25
Answer: FIRST OPTION
Step-by-step explanation:
According the quotient of powers property, when you have the division of two powers with the same base, then you must subtract the exponents.
Therefore, keeping the property above on mind, you have that the quotient is the shown below:

Answer:
44
Step-by-step explanation:
Based on the scenario given, the equation to describe the situation will be: c + 125 + 89 = 500 and 286 cards need to be collected.
Number of cards given by grandfather = 125 cards
Number of cards that will be given by father = 89 cards
Therefore, based on the information given, the equation to describe the situation will be:
c + 125 + 89 = 500
Therefore, we can then use the equation to calculate the number of cards that need to be collected. This will be:
c + 125 + 89 = 500
c + 214 = 500
c = 500 - 214
c = 286
Therefore, the person needs to collect 286 cards.
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