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3 years ago

( x-4)(x-6) = how do you solve this problem

Mathematics

1 answer:

natta225 [31]3 years ago

3 0

First you expand the expression
Then expression is equals to 0
And you can solve for X

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For each of the following, use logic laws to decide whether the statement is a tautology contradiction, or neither. a (a) (A B)

spayn [35]

Answer:

The statement $(A\rightarrow \lnot B)\land (B\rightarrow A)$ is a contingency.

The statement $(P\rightarrow \lnot P)\land P$ 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 $(A\rightarrow \lnot B)\land (B\rightarrow A)$ , you need to use the logic laws as follows:

$(A\rightarrow \lnot B)\land (B\rightarrow A) \equiv$

$\equiv (\lnot A \lor\lnot B)\land(\lnot B \lor A)$ by the logical equivalence involving conditional statement.

$\equiv (\lnot B\lor \lnot A )\land(\lnot B \lor A)$ by the Commutative law.

$\equiv \lnot B \lor (\lnot A \land A)$ by Distributive law.

$\equiv \lnot B \lor (A \land \lnot A)$ by the Commutative law.

$\equiv \lnot B \lor F$ by the Negation law.

Therefore the statement $(A\rightarrow \lnot B)\land (B\rightarrow A)$ is a contingency.

b) To classify the statement $(P\rightarrow \lnot P)\land P$ , you need to use the logic laws as follows:

$(P\rightarrow \lnot P)\land P \equiv$

$\equiv (\lnot P \lor \lnot P)\land P$ by the logical equivalence involving conditional statement.

$\equiv P \land (\lnot P \lor \lnot P)$ by the Commutative law.

$\equiv (P \land \lnot P) \lor (P \land \lnot P)$ by Distributive law.

$\equiv F \lor F \equiv F$ by the Negation law.

Therefore the statement $(P\rightarrow \lnot P)\land P$ is a contradiction.

8 0

3 years ago

Share 48 in the ratio 4:2

Nina [5.8K]

Answer:

48: 24

Step-by-step explanation:

divide.

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2 years ago

-2 and 2 are...... (check all that apply)

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Answer:

A,B,D

Step-by-step explanation:

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2 years ago

If ab = a, then b = A) 0 B) 1 C) a D) even

Zanzabum

Answer:

Step-by-step explanation:

because a number multiplied with 1 is equal to itself

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3 years ago

Use the drawing tools to form the correct answers on the graph. Draw the lines representing the vertical and horizontal asymptot

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Answer:

vertical asymptote X=-1

horizontal asymptote Y=2

Step-by-step explanation:

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3 years ago