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shtirl [24]
3 years ago
5

Choose all of the sums that are RATIONAL.​

Mathematics
1 answer:
S_A_V [24]3 years ago
6 0

Answers:

  1. Rational
  2. Rational
  3. Rational
  4. Irrational
  5. Rational
  6. Irrational

In short, 4 and 6 are irrational. Everything else is rational.

============================================

Explanation:

A rational number is one in the form p/q where p,q are integers and q is nonzero. In the case of something like 3/5, we have p = 3 and q = 5.

Any terminating decimal can be converted to a rational number. Eg: 0.125 = 125/1000.

Any whole number is a rational number. Eg: 5 = 5/1.

Adding any two rational numbers leads to some other rational number.

Based on what is mentioned above so far, this means choices 1 through 3 are rational sums.

---------

Choice 4 is not rational because sqrt(2) is irrational. The rule is

irrational+rational = irrational

Choice 5 is a rational sum because sqrt(4) = 2 = 2/1

Choice 6 is irrational for similar reasons as choice 4. Here pi = 3.14... is irrational.

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Answer:

$38.16

Step-by-step explanation:

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3(x + 4) = 3x + 12 solve for x
iris [78.8K]

Answer:

all real numbers.

Step-by-step explanation:

First, distribute 3 to all terms within the parenthesis:

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antiseptic1488 [7]

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Step-by-step explanation:

7 0
3 years ago
A teacher used the change of base formula to determine whether the equation below is correct. (log2 10)(log4 8)(log10 4)=3
Misha Larkins [42]

Answer:

The equation is correct

Step-by-step explanation:

(log2 10)(log4 8)(log10 4)=3

Change of base formula

logb (x) = log10 (x)/ log10 (b)


Lets change all non base 10 logs to base 10 logs

(log2 10) = log10 (10)/ log10 (2)  

We know that log10 (10 ) = 1  so

(log2 10) = 1/ log10 (2)

(log4 8)  = log10 (8)/ log10 (4)

Now we can rewrite the original equation in all base 10

(log2 10)(log4 8)(log10 4)=3

1/ log10 (2) *  log10 (8)/ log10 (4) *  (log10 4)=3

I can cancel the log10 (4)/ log10 (4)

1/ log10 (2) *  log10 (8)=3

log10 (8)/ log10 (2)

We know that 8 = 2^3

log10 (2^3)/ log10 (2) =3

Remember  log a^b  = b * log a

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We can cancel log 10 (2)/ log10 (2)

3=3


The equation is correct


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3 years ago
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