nathangirnet
21.09.2020 •
Mathematics
Classify (V2)-(2) as rational or irrational, and explain your reasoning.
A)
Suppose an irrational times a nonzero rational - rational, then irrational -
rational This means irrational - rational. Thus the irrational number V2
rational
times the rational number 2 equals 22. which is both rational and
irrational
B)
Suppose an irrational times a nonzero rational - rational, then irrational-
rational This means irrational - rational, which is a contradiction. Thus
rational
the irrational number V2 times the rational number 2 equals the rational
number 272
Suppose an irrational times a nonzero rational - rational, then irrational -
rational
This means irrational - rational, which is a contradiction. Thus
rational
the irrational number V2 times the rational number 2 equals the
irrational number 2 V2.
Suppose an irrational times a nonzero rational - rational, then irrational -
rational
This means irrational - rational, which is a contradiction. Thus
rational
the irrational number V2 times the rational number 2 equals 22. which
is neither rational nor irrational
D)
Solved
Show answers
More tips
- F Food and Cooking How to Make Chebureki: A Delicious Recipe for Russian Street Food...
- A Animals and plants Unraveling the Mystery of Loch Ness: What Does the Loch Ness Monster Look Like?...
- L Leisure and Entertainment Should You Buy a Ceramic Knife?...
- C Computers and Internet How to easily and quickly disable Firebug in Gmail and Google Docs...
- G Goods and services How to sew a ribbon: Tips for beginners...
- F Food and Cooking How to Make Mayonnaise at Home? Secrets of Homemade Mayonnaise...
- C Computers and Internet Which Phone is Best for Internet Surfing?...
- F Food and Cooking Everything You Need to Know About Pasta...
- C Computers and Internet How to Choose a Monitor?...
- H Horoscopes, Magic, Divination Where Did Tarot Cards Come From?...
Answers on questions: Mathematics
- M Mathematics If two points are given, then exactly one line can be drawn third of these two points. Which geometry term does the statement represent?...
- H Health Alcoholic beverages a) dilate the blood vessels and b) increase the amount of water removed from the blood. how would factors a and b affect blood pressure? (2 points)...
- H History How do modern us society and government reflect Voltaire’s ideas?...
- M Mathematics Arectangular prisim is completely packed with 200 cubes of edge length 1/5in without any gap or overlap. which of these best describes the volume of this rectangular prism?...
- M Mathematics This year a small business had a total revenue of 51,300 if this is 35% more then their total revenue the previous is year what was their total revenue the previous year...
- H History If an eagle eats a mouse that eats some berries, the eagle is a...
Ответ:
call x the number of half-page advertisements and y the number of full-page adverstisements
=>
40x + 75 y is the money charged, and given that he has a budget of $ 800
40x + 75y ≤ 800
the number of advertisements is 13, so, the other equation is:
x + y = 13
you coul also state the x and y cannot be negative, i.e. x ≥ 0 and y ≥ 0
so the complete system is:
40x + 75y ≤ 800
x + y = 13
x ≥ 0, y ≥ 0
(b) how many half-page advertisements does michael purchase? show your work.
in a graph draw the lines
40x + 75y = 800 > shade the are between this line, in the first quadrant.
x + y = 13
the solution is the on the part of the line x + y = 13 that is inside in the shaded region.
an addtional fact that you need to know is that the best solution (optimus) is one vertex of the solution area (this is one of the edges of the segment that we determined as possible solutions).
on of the edges is the point (0,13) and the other is the intercection point between the lines
40x + 75y = 800 and
x + y = 13.
find the solution of that system:
40 (13-y) + 75y = 800
520 - 40y + 75y = 800
35y = 800 - 520
35y = 280
y = 280/35
y = 8 = x = 13 - 8 = 5.
so the two possible solutions are
1) x = 5, y = 8
2) x = 13, y = 0 but with this solution he will not spend all the budget, because 40(13) +75(0) = 520.
so the solution is x = 5 and y = 8
that means that the number of half-page advertisements is 5
(c) how many full-page advertisements does michael purchase? show your work.
the work is above. there you got y = 8 which means that he purchases 8 full advertisements.
look that 40(5) + 75 (8) = 200 + 600 = 800.
which means that he spends all the budget when purchases 5 half-page advertisements and 8 full-page advertisements.
we also assured that this is the optimal solution.