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Natasha2012 [34]
3 years ago
7

Rewrite each of the following statements in the form "∀ _____ x, _____." (a) All dinosaurs are extinct. ∀ x, . (b) Every real nu

mber is positive, negative, or zero. ∀ x, . (c) No irrational numbers are integers. ∀ x, .(d) No logicians are lazy. ∀ x, .(e) The number 2,147,581,953 is not equal to the square of any integer. ∀ x, .(f) The number −1 is not equal to the square of any real number.
Mathematics
1 answer:
jasenka [17]3 years ago
8 0

Answer:

See below

Step-by-step explanation:

Essentially, we have to replace "quantifier words" like "All", "Every" by the universal quantifier ∀.

a) ∀ dinosaur x, x is extinct.

b) ∀ real number x, x is positive, negative, or zero.

c) ∀ irrational number x, x is not an integer.

d) ∀ logician x, x is not lazy.

e) ∀ integer x, x²≠ 2,147,581,953.

f)  ∀ real number x, x²≠ -1.

In a) and b) we replace the words without major changes. In the other statements, we modify the statement using negation. For example, "No irrational numbers are integers." is equivalent to "Every irrational number is not integer".

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What’s the slope of a line that’s perpendicular to y = 2 x + 7
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Answer:The slopw is -1/2

Step-by-step explanation

A slope that is a opposite reciprocal of another slope is always perpendicular. Make sure it is a opposite reciprocal. Not just a regular reciprocal.

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3 years ago
Please help!!
postnew [5]

2  \frac{5}{8}  \div 2  \frac{1}{2}
Change the mixed fractions to improper fractions.
To do this, multiply the whole number part by the denominator. Add that to the numerator. Then write the result on top of the denominator.

You would now have:
\frac{21}{8}  \div  \frac{5}{2}
Change the division sign to a multiplication sign by turning the second fraction upside down.
That is,
\frac{21}{8}  \times  \frac{2}{5}

The answer is:
\frac{42}{40}

This can be simplified to:
\frac{21}{20}



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Step-by-step explanation:

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2 years ago
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kotegsom [21]

Answer:

1. F

2. G

3. H

4. E

5. C

6. B

7. A

8. D

Step-by-step explanation:

1. For a horizontal line, this is zero. F. Slope

2. These lines have the same slope.  G Parallel Lines

3. These lines meet at 90°. H Perpendicular Lines

4. This is where two lines meet.  E. Point of Intersection

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