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Thepotemich [5.8K]
3 years ago
13

1) Give an example of a rational number AND an irrational number. Explain how someone could tell the difference between your two

examples.
2) If you convert your example of a rational number into a decimal, does it terminate? If you convert your example of a rational number into a decimal, does it repeat any digits? Explain your answers.

3) Can every repeating decimal be written as a rational number? Explain why or why not.
Mathematics
1 answer:
harina [27]3 years ago
3 0

Answer:

1. Ratoinal= 2

irrrational= 8.34284

A rational number can be put into a fraction while an irrational cannot.

My irrational number is a never-ending decimal that never repeats and my rational number is a whole number.

2.I don't know what it means to terminate. If I convert my rational number into a decimal no it does not repeat any digits because the decimal form of 2 would just be 2.0

3. A repeating decimal can be written and a rational number because it can be put into a fraction. ex; 4/9 is a fraction and in decimal, form it is 0.444444444...

Step-by-step explanation:

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vlada-n [284]

Answer: A

Step-by-step explanation:

4x+4y=20

We need to get this form: y=mx+b

we need to begin by isolating y on the left side. To do this, we must subtract 4x.

4y=20-4x

Rewrite it so that we get this form: y=mx+b

4y=-4x+20

Since y needs to be completely isolated, divide by 4.

y=-\frac{4x}{4} +\frac{20}{5}

Divide;

y=-x+5

7 0
3 years ago
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What is 7/10+20/100?
Firdavs [7]
9/10. make the bottom numbers the same to add fractions. you can do that by multiplying 7/10 by 10/10.

70/100 + 20/100 = 90/100

90/100 = 9/10

you can also reduce 20/100 to 2/10.

7/10 + 2/10 = 9/10
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Hi buddy plz answer 2+2 for 50 points
Karolina [17]

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4.

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Step-by-step explanation:

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7 0
3 years ago
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"(b) use part (a) to find a power series for f(x) = 1 (4 + x)3 ."
Firdavs [7]
Assuming

f(x)=\dfrac1{(4+x)^3}

Recall that for |x|,

\displaystyle\sum_{n\ge0}x^n=\frac1{1-x}

Denote the above by s(x). Then

s'(x)=\displaystyle\sum_{n\ge1}nx^{n-1}=\frac1{(1-x)^2}
s''(x)=\displaystyle\sum_{n\ge2}n(n-1)x^{n-2}=\frac2{(1-x)^3}

Now,

\dfrac1{(4+x)^3}=\dfrac1{4^3}\dfrac1{\left(1-\left(-\frac x4\right)\right)^3}=\dfrac1{2^7}\dfrac2{\left(1-\left(-\frac x4\right)\right)^3}

which means we have

f(x)=\dfrac1{2^7}s''(x)=\dfrac1{128}\displaystyle\sum_{n\ge2}n(n-1)\left(-\frac x4\right)^{n-2}

which is valid for \left|-\dfrac x4\right|, or |x|.
4 0
3 years ago
Which of the following is the correct point-slope equation for the line that passes through the point (-6, -1) and is parallel t
inn [45]

Answer:

A. y + 1 = 7(x + 6)

Step-by-step explanation:

1) Point slope form is

y - y1 = m(x - x1)

where m is the slope and (x1, y1) is a point on the line

2) Parallel lines have the same slope

in this case m = 7

-------------------------------

Plug in m = 7 and (x1, y1) = (-6, -1)

y + 1 = 7(x + 6)

which is answer A

3 0
3 years ago
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