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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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3 years ago
A student said that since -9 is less than 4, then |-9| is less than |4|. Is the student correct? Explain why or why not.
IRISSAK [1]
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4 0
3 years ago
Read 2 more answers
5p+2= -10<br> Show your work
Monica [59]

Answer:

p= -12/5

Step-by-step explanation:

you have to subtract 2 from both sides

5p+2(-2)=-10 (-2)

5p= -12

5p/5= -12/5

p= -12/5

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2 years ago
Pleas help me I have so much more left to do
Serjik [45]

Answer:

2 11/14 squared feet

Step-by-step explanation:

Area of a rectangle = length x width

Give length = 3 1/4 and

Width = 3/4

Therefore,

Area = 3 1/4 x 3/4

Change the mixed size fraction to an improperly fraction

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39/14

2 11/14 squared feet

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3 years ago
Factor this equation<br> 4x^2+12x-7
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4x^2+12x-7=0\\\\a=4;\ b=12;\ c=-7\\\Delta=b^2-4ac\\\\\Delta=12^2-4\cdot4\cdot(-7)=144+112=256 \ \textgreater \  0\\\\therefore\\x_1=\dfrac{-b-\sqrt\Delta}{2a}\ and\ x_2=\dfrac{-b+\sqrt\Delta}{2a}\\\\\sqrt\Delta=\sqrt{256}=16\\\\x_1=\dfrac{-12-16}{2\cdot4}=\dfrac{-28}{8}=\boxed{-\dfrac{7}{2}}\\\\x_2=\dfrac{-12+16}{2\cdot4}=\dfrac{4}{8}=\boxed{\dfrac{1}{2}}
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