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3 years ago

6

For each equation, what could you do first to each side of the equation so that there would be no fractions?

1 answer:

Shtirlitz [24]3 years ago

4 0

2,4,5
Multiply each side by 48, 24, and 60

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Use Theorem 2.1.1 to verify the logical equivalence. Give a reason for each step. -(pv –q) v(-p^q) = ~p

sertanlavr [38]

Answer:

The statement $\lnot(p\lor\lnot q)\lor(\lnot p \land \lnot q)$ is equivalent to $\lnot p$ , $\lnot(p\lor\lnot q)\lor(\lnot p \land \lnot q) \equiv \lnot p$

Step-by-step explanation:

We need to prove that the following statement $\lnot(p\lor\lnot q)\lor(\lnot p \land \lnot q)$ is equivalent to $\lnot p$ with the use of Theorem 2.1.1.

So

$\lnot(p\lor\lnot q)\lor(\lnot p \land \lnot q) \equiv$

$\equiv (\lnot p \land \lnot(\lnot q))\lor(\lnot p \land \lnot q)$ by De Morgan's law.

$\equiv (\lnot p \land q)\lor(\lnot p \land \lnot q)$ by the Double negative law

$\equiv \lnot p \land (q \lor \lnot q)$ by the Distributive law

$\equiv \lnot p \land t$ by the Negation law

$\equiv \lnot p$ by Universal bound law

Therefore $\lnot(p\lor\lnot q)\lor(\lnot p \land \lnot q) \equiv \lnot p$

4 0

3 years ago

(2x+5)* (8x+5)* Help help help

GuDViN [60]

Answer:

16x^2 + 50x + 25 would be your answer.

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3 years ago

Which of the following is the prime factorization of 510

Svetllana [295]

Answer:

2x3x5x17

Step-by-step explanation:

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(x^2-2x+2)(x-3)
ANSWER:
x^3-5x^2+8x-6

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4 years ago

50 points decreased by 26% is __________ points.

almond37 [142]

37% I believe.

Step-by-step explanation:

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3 years ago

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