Premises: All good students are good readers. Some math students are good students. Conclusion: Some math students are good read
ers. Use the law of detachment or the law of contraposition to form a valid conclusion from each set of premises in exer cises
1 answer:
Answer:
Therefore, the conclusion is valid.
The required diagram is shown below:
Step-by-step explanation:
Consider the provided statement.
Premises: All good students are good readers. Some math students are good students.
Conclusion: Some math students are good readers.
It is given that All good students are good readers, that means all good students are the subset of good readers.
Now, it is given that some math students are good students, that means there exist some math student who are good students as well as good reader.
Therefore, the conclusion is valid.
The required diagram is shown below:
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Answer:
Given the statement: if y =3x+6.
Find the minimum value of
Let f(x) =
Substitute the value of y ;
Distribute the terms;
The derivative value of f(x) with respect to x.
Using
we have;
Set
then;
By zero product property;
and 2x + 3 = 0
⇒ x=0 and x =
then;
at x = 0
f(0) = 0
and
x = -1.5
Hence the minimum value of is, -5.0625
whatever the amounts of "x" and "y" are, they must add up to 5Liters
thus x + y = 5
and whatever the concentrated quantity is in each, they must add up to (5)(0.14)
notice, that we use the decimal notation for the amount of juice concentration, that is, 15% is just 15/100 or 0.15, and 14% is just 14/100 or 0.14 and so on, recall that "whatever% of something" is just (whatever/100)*something
thus
solve for "x", to see how much of the 15% juice will be needed
what about "y"? well, y = 5 - x