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Vera_Pavlovna [14]
3 years ago
13

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

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

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.

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vfiekz [6]

Answer:

The solution in the attached figure

One possible solution is the point (30,60)

Step-by-step explanation:

Let

x -----> represents the number of tacos sold

y -----> represents the number of burritos sold

we know that

------> inequality A

-----> inequality B

using a graphing tool

The solution is the triangular shaded area

see the attached figure

One possible solution is the point (30,60)

Remember that if a ordered pair is a solution of the system of inequalities, then the ordered pair must lie on the shaded area of the solution

so

That means----> The number of tacos sold is 30 and the number of burritos sold

Verify

Substitute the value of x and the value of y in each inequality

Inequality A

----> is true

Inequality B

----> is true

The ordered pair satisfy both inequalities, then the ordered pair is a solution of the system

Read more on Brainly.com - brainly.com/question/13301815#readmore

Step-by-step explanation:

3 0
3 years ago
Solutions for 2x^2+18x=20, worth a TON, please only 100% answers ! Thank u !
victus00 [196]

Answer:

The solution of the given quadratic equation is 1 and (-10).

Step-by-step explanation:

2x^2+18x=20

x^2+9x=\frac{20}{2}

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ax^2+bx+c=0

Solving equation by quadratic formula:

Here , a = 1,b = 9, c = (-10)

D=b^2-4ac=(9)^2-4(1)(-10)=121

x=\frac{-b+{\sqrt{D}}}{2a}=\frac{(-9)+\sqrt{121}}{2(1)}=1

x=\frac{-b-{\sqrt{D}}}{2a}=\frac{(-9)-\sqrt{121}}{2(1)}=(-10)

The solution of the given quadratic equation is 1 and (-10).

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What’s the answer???
Harrizon [31]

first

second

and fifth are true

Basically the square root of -1 is i. From that you should be able to deduce the answers.

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10. Which equation could be used to solve the problem? Joan picked 4 bushels of apples in one hour. At that rate, how many bushe
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The answer would be B. b = 8 * 4. If Joan picked 4 bushels of apples in an hour and the question wants to know how many bushels could be picked in 8 hours, its basically asking how many bushels are in 8 groups of 4.
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3 years ago
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