Answer:
a. 24
b. 864
Step-by-step explanation:
a. The demand function is:
P = 60 - 2Q
When P = 12:
12 = 60 - 2Q
2Q = 60 - 12
2Q = 48
Q = 48/2 = 24
b. Consumer surplus is given as the integral of Demand function:
![CS = \int\limits {[P(Q) - (p)(Q)] \ dQ\\](https://tex.z-dn.net/?f=CS%20%3D%20%5Cint%5Climits%20%7B%5BP%28Q%29%20-%20%28p%29%28Q%29%5D%20%5C%20dQ%5C%5C)
This implies that:
The equation that must be true regarding the function is a. f(–3) = –5
<h3>
How to explain the information?</h3>
The point (–3, –5) is on the graph of a function. Which equation must be true regarding the function?
a. f(–3) = –5
b. f(–3, –5) = –8
c. f(–5) = –3
d. f(–5, –3) = –2
The question is what does the point (-3, -5) correspond to on the graph of the function.
If we have a point on a graph in the Cartesian coordinate system then that point consists of coordinates (x, y). In other words, y=f(x) and x so (x, f(x)) where x is a x-coordinate and y=f(x) is y-coordinate.
Hence if we have a point (-3, -5) the corresponding coordinates are x=-3 and y=f(x)=-5.
Therefore the correct answer is f(-3)=-5.
Learn more about equation on:
brainly.com/question/2972832
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Answer:
8\sqrt{2}\ units.
Step-by-step explanation:
Use the trignometric property.
sin\theta = \frac{Perpendicular}{Hypotenuse}
Perpendicular = 8
Hypotenuse = h
\theta = 45^{\circ}
sin\ 45^{\circ} = \frac{1}{\sqrt{2}}
\frac{1}{\sqrt{2}} = \frac{8}{h}
h = 8\sqrt{2}\ units
Hope I helped you! x
Answer:
4,-4 I think
Step-by-step explanation:
My brain is off right now so might be wrong
