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Akimi4 [234]
3 years ago
13

Which of the following statements is logically equivalent to "If I study, then I get better grades"? If I do not study, then I d

o not get better grades. If I get better grades, then I study. If I do not get better grades, then I do not study. If I get better grades, then I do not study.
Mathematics
2 answers:
saul85 [17]3 years ago
3 0
It would go along with, "if I get better grades, then I study."
AleksandrR [38]3 years ago
3 0
I would think that the correct answer is the 1st one: If I do not study, then I do not get a better grade. 

I think this would be correct because it's basically the same as the sentence they give you! For a better understanding of this, go to:   <span>https://en.wikipedia.org/wiki/Logical_equivalence</span>

I hope this helps you out! 
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(x2 + 4)(x2 - 4) please help
VikaD [51]

(x^{2} + 4)(x^{2} - 4)

To solve this question you must FOIL (First, Outside, Inside, Last) like so

First:

(x^2 + 4)(x^2 - 4)

x^2 * x^2

x^4

Outside:

(x^2 + 4)(x^2 - 4)

x^2 * -4

-4x^2

Inside:

(x^2 + 4)(x^2 - 4)

4 * x^2

4x^2

Last:

(x^2 + 4)(x^2 - 4)

4 * -4

-16

Now combine all the products of the FOIL together like so...

x^4 - 4x^2 +4x^2 - 16

Combine like terms:

x^4 - 4x^2 +4x^2 - 16

- 4x^2 +4x^2 = 0

x^4 - 16 <<<This is your answer

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~Just a girl in love with Shawn Mendes

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