The inequality is given by 20x + 25y ≤ 1100 and x + y > 50
<h3>What is an
inequality?</h3>
An inequality is an expression that shows the non equal comparison of two or more numbers and variables.
Let y represent the number of soccer balls and x represent the number of volleyballs.
The coach can spend a maximum of $1,100, hence:
20x + 25y ≤ 1100
Also, The coach plans to order at least 50, hence:
x + y > 50
The inequality is given by 20x + 25y ≤ 1100 and x + y > 50
Find out more on inequality at: brainly.com/question/24372553
Answer:
See the argument below
Step-by-step explanation:
I will give the argument in symbolic form, using rules of inference.
First, let's conclude c.
(1)⇒a by simplification of conjunction
a⇒¬(¬a) by double negation
¬(¬a)∧(2)⇒¬(¬c) by Modus tollens
¬(¬c)⇒c by double negation
Now, the premise (5) is equivalent to ¬d∧¬h which is one of De Morgan's laws. From simplification, we conclude ¬h. We also concluded c before, then by adjunction, we conclude c∧¬h.
An alternative approach to De Morgan's law is the following:
By contradiction proof, assume h is true.
h⇒d∨h by addition
(5)∧(d∨h)⇒¬(d∨h)∧(d∨h), a contradiction. Hence we conclude ¬h.
This is a geometric sequence with first term 1 and common ratio -1/2. r=-1/2.
a(n) = a(1)*(r)^(n-1).
Check: If n=2 our formula must return -1/2. Does it?
a(2) = 1(-1/2)^(2-1) = (-1/2)^1 = - 1/2. Yes.
a(3) should be 1/4. Is it? a(3) = (-1/2)^(3-1) = 1/4 Yes.
Then a(8) = (-1/2)^(8-1) = (-1/2)^7 = -1 / 2^7 = -1/128 (answer)
The inequality would be 3.1h + 2.3b ≥100
Step-by-step explanation:
Earning of Tammy for each hour of work= $3.1
Total hours she worked= h
Earning for picking each bushel of apple= $2.3
Total bushel she picks= b
Her goal = minimum of $100
Hence total earning from working= earning from each hour* no of hours worked
Total earning= 3.1h
Similarly, total earning from picking up apple bushels= earning from picking one bushel*no of bushels picked
Total earning= 2.3b
According to question total earning must be greater than $100
Hence, 3.1h + 2.3b ≥100
x²-3
Step-by-step explanation:
The expression given is;
6x²-18
Finding the greatest common factor of the terms and simplifying the expression will be;
Divide the terms by 6 to get;
x²-3
Graphing the expression to find the area model will be as attached;
Learn More
Factorizing expressions:brainly.com/question/12290978
Keywords : factor, greatest common factor, terms, area model
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