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3 years ago

13

A state park charges a $6.00 entry fee plus $7.50 per night of camping. Write an algebraic expression for the cost in dollars of

entering the park and camping for n nights.

1 answer:

EastWind [94]3 years ago

3 0

The total cost would be the number of nights multiplied by the cost per night added to the entry fee.

Total = 7.50n + 6.00

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A conditional statement is logically equivalent to a biconditional statement. True False pls help i have a test and i was absent

andreyandreev [35.5K]

Answer:

false.

Step-by-step explanation:

A conditional statement is something like:

If P, then Q.

This means that if a given proposition P is true, then another proposition Q is also true.

An example of this is:

P = its raining

Q = there are clouds in the sky.

So the conditional statement is

If its raining, then there are clouds in the sky.

A biconditional statement is:

P if and only if Q.

This means that P is only true if Q is true, and Q is only true if P is true.

So, using the previous propositions we get:

Its raining if and only if there are clouds in the sky.

This statement is false, because is possible to have clouds in the sky and not rain.

(this statement implies that if there are clouds in the sky, there should be rain)

Then we could see that for the same propositions, the conditional statement is true and the biconditional statement is false.

Then these statements are not logically equivalent.

The statement is false.

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3 years ago

What is the factorization of 3x2 – 8x + 5?

tatuchka [14]

For this case we must factor the following expression:

$3x ^ 2-8x + 5$

We rewrite the middle term as a sum of two terms whose product is

$a * c = 3 * 5 = 15$

And whose sum is

$b = -8$

These numbers are:

-5 and -3

So:

$3x ^ 2-5x-3x + 5$

We factor the maximum common denominator of each group: $x (3x-5) - (3x-5)$

We take common factor $(3x-5):$

$(3x-5) (x-1)$

Answer:

$(3x-5) (x-1)$

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Irrational

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$\sqrt{3}$

Rational:

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$\sqrt{4}$

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