Answer:
17. a)
Step-by-step explanation:
17.
f(x) =x/2, then f(x-3)=(x-3)/2
x=3, f(x-3)=f(3-3)=f(0)=0 (values in table)
f(x-3)+3=0+3=3
18.
f(x) =x/2
f(x-2) for x=5 is f(5-2)=f(3)=3/2
f(x-2)+5=f(3)+5=3/2+5=3/2+10/2=13/2
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 absolute value inequality can be decomposed into two simpler ones.
x < 0
x > -8
<h3>
</h3><h3>
Which two inequalities can be used?</h3>
Here we start with the inequality:
3|x + 4| - 5 < 7
First we need to isolate the absolute value part:
3|x + 4| < 7 + 5
|x + 4| < (7 + 5)/3
|x + 4| < 12/3
|x + 4| < 4
The absolute value inequality can now be decomposed into two simpler ones:
x + 4 < 4
x + 4 > - 4
Solving both of these we get:
x < 4 - 4
x > -4 - 4
x < 0
x > -8
These are the two inequalities.
Learn more about inequalities:
brainly.com/question/24372553
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When you find the area, you want to break it up into different parts. Therefore, one part would be a square and the other part can be a trapezoid. Start out with finding the area of a square by multiplying 6 and 6. This will get you 36. Then, subtract 6 from 21. This will get you, 15. Then use the area of a trapezoid formula, which is A=(a+b)/2 times H. The H is the heigh, the a and b are the top and bottom bases. So if you plug it into the equation, (7+15)/2 then multiply that by 6 ( which is the height). this will get you 66. If you add 66+36, it equals 102 which is the area
