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Sloan [31]
2 years ago
5

The demand for coffee is given by the following equation, where QD stands for the quantity demanded and P stands for price.

Mathematics
1 answer:
mart [117]2 years ago
4 0

Using linear function concepts, it is found that the slopes and intercepts of the functions are given as follows:

a) -4.

b) P = 25.

c) 2.

d) P = 5.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

The demand is given by:

D = 100 - 4P.

Hence the slope is of -4. The demand is equals to zero when:

100 - 4P = 0 -> P = 25.

The supply is given by:

QS = -10 + 2P.

Hence the slope is of 2. The supply is equals to zero when:

-10 + 2P = 0 -> P = 5.

More can be learned about linear function concepts at brainly.com/question/24808124

#SPJ1

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For which equation does it make the most sense to solve by completing the square?
daser333 [38]

The equation for which square method is possible is x²-8=1

Step-by-step explanation:

For checking which of the equation satisfies the complete square condition, we proceed by checking each of the available options

1). x²+20x=52

Rewriting it as  x²+20x-52

This binomial expression is not a perfect square since the product of the coefficient of x²(i.e. 1) and independent constant (i.e. 52) is not a perfect square.

2). 5x² + 3x = 9

This equation can be rearranged as 5x²+3x-9=0

This binomial expression is not a perfect square since the product of the coefficient of x²(i.e. 5) and independent constant(i.e. 9) is not a perfect square.

3.) x² −8=1

This equation can be rearranged as  x²=9

Hence x= ±3

This binomial expression is a perfect square and can be done by the square method.

4). 3x² −x+17=0

This binomial expression is not a perfect square since the product of the coefficient of x²(i.e. 3) and independent constant(i.e. 17) is not a perfect square.

8 0
3 years ago
Only answer if you know! no spams :)
artcher [175]

Answer:

The correct answer is C.

Step-by-step explanation:

There are 8 slots on Spinner B.

3 of those slots have squares.

Hence out of all the slots, 3/8 of them have squares.

Hope this helps:) Goodluck!

5 0
2 years ago
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Which number should each side of the equation 3/4 = 9 be multiplied by to produce the equivalent equation of x = 12?
Tema [17]
You need to multiply both sides of the equation by the reciprocal of 3/4. The reciprocal is 4/3 and  4/3 multiplied by 9 = 12. So x = 12 because a number times the reciprocal is one.
6 0
3 years ago
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Use the domain and range of each of the following relations to determine which is a function.
Taya2010 [7]
B and C (I think they are the same)
7 0
3 years ago
My first ever question on this site. Hope i will get my answer as i have answer others.
Neko [114]
632=.60 x (it is important to convert the percentage to decimal by dividing by 100) 
632/.60=x
x= 1053.33
x is your original price
the actual answer is 1053.3333(3 repeating) but since it is money you cut it off at 2 decimal points. 
6 0
3 years ago
Read 2 more answers
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