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12345 [234]
3 years ago
14

I need help with these questions asap

Mathematics
1 answer:
AfilCa [17]3 years ago
4 0

Answer:

43

Step-by-step explanation:

90-47=43

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Communicate Mathematical Ideas Irrational numbers can never be precisely represented in decimal form. Why is this? 20 Unit1
kiruha [24]

Answer:

An irrational number can never be represented precisely in decimal form.

Step-by-step explanation:

<em>A number can be precisely represented in decimal form if you can give a rule for the construction of its decimal part,</em>

for example:

2.246973973973973... (an infinite tail of 973's repeated over and over)

7.35 (a tail of zeroes)

If this the case, then the number is a RATIONAL NUMBER, i.e, the QUOTIENT OF TWO INTEGERS.

Let's show this for the first example and then a way to show the general situation will arise naturally.

Suppose N = 2.246973973973...

You can always multiply by a suitable power of 10 until you get a number with only the repeated chain in the tail

for example:

1) N.10^3=2246.973973973...

but also

2) N.10^6=2246973.973973...

Subtracting 1) from 2) we get

N.10^6-N.10^3=2246973.973973973... - 2246.973973973...

Now, the infinite tail disappears

N.10^6-N.10^3=2246973 - 2246=226747

But  

N.10^6-N.10^3=N.(10^6-10^3)=N.(1000000-1000)=999000.N

We have then

999000.N=226747

and

N=\frac{226747}{999000}

We do not need to simplify this fraction, because we only wanted to show that N is a quotient of two integers.

We arrive then to the following conclusion:

If an irrational number could be represented precisely in decimal form, then it would have to be the quotient  of two integers, which is a contradiction.

So, an irrational number can never be represented precisely in decimal form.

6 0
3 years ago
-5(1 - r) - 2<br> Find r
Grace [21]

Answer:

-5+5r-2 -->

--> 5r-7 <--

Explanation --

Distribute from the parentheses, of course excluding the -2 because it isn't involved, and you'll get --> -5 + 5r -2

Simplify by putting the like terms together (subtract) -->

5r -7 (you get -7 by doing -5-2, and you leave 5r by itself since it doesn't have anything more to simplify with or has any other like term)

So, the final, simplified answer -->

5r-7

Hope this helps!! Have a nice day! :)

7 0
3 years ago
what is the equation in point -slope form of the line that is parallel to the given line and passes through the point (4,1) ?
Maurinko [17]

Answer:

we need the given line to solve

Step-by-step explanation:

3 0
3 years ago
Miguels book has 208 pages. Kristens book have n fewer pages then miguels book. Write an exprssion to represent the number of pa
77julia77 [94]

Answer:

208-n

Step-by-step explanation:

208 is Miguel number and in is Kristen. Miguel has a greater number of pages than Kristen so you would have to subtract n from it. Hope this helps! :P

3 0
2 years ago
If y varies directly as x and y = 42 when x = 6, find the equation that gives the relationship between x and y.
Troyanec [42]

Answer:

B

Step-by-step explanation:

since K is constant ( the same for every point) we can find k when given any point by dividing the y-coordinate by the x-coordinate.

6 0
3 years ago
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