I can't see images.
Can you tell me what is looks like?
Those are all lines...
So the x interval is from -2 to 3, because of x=-2 and x=3
The upper line is y(u)=4x and the lower line is y(l)=x-5
So the area between the two lines is:
A=⌠y(u)-y(l) dx
A=⌠4x-x+5 dx
A=⌠3x+5 dx
A=[3x^2/2+5x]
A=[(3x^2+10x)/2], x=[-2,3]
A=(1/2)(27+30-(12-20))
A=(1/2)(57+8)
A=(1/2)(65)
A=32.5 u^2
Given
The demand equation is given
![Q=2000P^{-k}](https://tex.z-dn.net/?f=Q%3D2000P%5E%7B-k%7D)
here Q is liters purchased per year, P is the price in dollars per unit and k is a parameter =0.75.
Explanation
a. To determine the quantity of petrol demanded by the average motorist if the price is 1 dollar per liter.
![\begin{gathered} Q=2000(1)^{-0.75} \\ Q=2000\text{ /year.} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20Q%3D2000%281%29%5E%7B-0.75%7D%20%5C%5C%20Q%3D2000%5Ctext%7B%20%2Fyear.%7D%20%5Cend%7Bgathered%7D)
b. To determine the change in quantity demanded.
It is given that the price of petrol increases from $1.0to $2.0 per litre on a sustained basis.
Then the equation becomes
![\begin{gathered} Q_1=2000(1)^{-0.75} \\ Q_2=2000(2)^{-0.75} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20Q_1%3D2000%281%29%5E%7B-0.75%7D%20%5C%5C%20Q_2%3D2000%282%29%5E%7B-0.75%7D%20%5Cend%7Bgathered%7D)
The change in quantity demanded is
![\Delta Q=\frac{Q_2-Q_1}{Q_1}](https://tex.z-dn.net/?f=%5CDelta%20Q%3D%5Cfrac%7BQ_2-Q_1%7D%7BQ_1%7D)
Substitute the values.
![\begin{gathered} \Delta Q=\frac{1189.2-2000}{2000} \\ \Delta Q=-\frac{810.8}{2000} \\ \Delta Q=-0.4054 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5CDelta%20Q%3D%5Cfrac%7B1189.2-2000%7D%7B2000%7D%20%5C%5C%20%5CDelta%20Q%3D-%5Cfrac%7B810.8%7D%7B2000%7D%20%5C%5C%20%5CDelta%20Q%3D-0.4054%20%5Cend%7Bgathered%7D)
Answer
a.The quantity of petrol demanded by the average motorist if the price is 1 dollar per liter is 2000 litres per year.
b. The change in quantity demanded is the fall in demand due to negative sign which is 0.4054.
Answer: =
6x^2−5x−6
Step-by-step explanation: Multiply each term in one expression times each term in the other, then simplify by combining like terms.
Here are the like terms : =(3x+2)(2x−3)=3x(2x+3x(−3)+2(2x)+2(−3)
= 6x^2−9x+4x−6
=6x2−5x−6
Answer:
B: 137 ml. (It`s the smallest unit of measurment out of all the choices)
Step-by-step explanation:
<em>It izz wat it izzzz!!!</em>
<em> :)</em>