Answer:
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Answer:
The statement is a contingency.
The statement is a contradiction.
Step-by-step explanation:
A tautology is a proposition that is always true.
A contradiction is a proposition that is always false.
A contingency is a proposition that is neither a tautology nor a contradiction.
a) To classify the statement , you need to use the logic laws as follows:
by the logical equivalence involving conditional statement.
by the Commutative law.
by Distributive law.
by the Commutative law.
by the Negation law.
Therefore the statement is a contingency.
b) To classify the statement , you need to use the logic laws as follows:
by the logical equivalence involving conditional statement.
by the Commutative law.
by Distributive law.
by the Negation law.
Therefore the statement is a contradiction.
Answer:
a
Step-by-step explanation:
Answer:
There is an asymptote at x = 0
There is an asymptote at y = 23
Step-by-step explanation:
Given the function:
(23x+14)/x
Vertical asymptote is gotten by equating the denominator to zero
Since the denominator is x, hence the vertical asymptote is at x = 0. This shows that there is an asymptote at x = 0
Also for the horizontal asymptote, we will take the ratio of the coefficient of the variables in the numerator and denominator
Coefficient of x at the numerator = 23
Coefficient of x at the denominator = 1
Ratio = 23/1 = 23
This means that there is an asymptote at y = 23
Answer:
c
Step-by-step explanation:
180= 45+ (5x+35)
-45 -45
135 = 5x + 35
-35 -35
100 = 5x
/5 /5
x=20