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Alex777 [14]
3 years ago
12

Which of the following best describes the term induction?

Mathematics
1 answer:
tatiyna3 years ago
7 0

Answer:

C. Starting with a given set of rules and figuring out what must be  true . TRUE

Step by step explanation:

Mathematical Induction

Mathematical Induction is a mathematical technique which we can use to prove any given mathematical statement, result, theorem or corollary with help of induction.

Here, we assume the statement to be true for a smaller natural number            (Usually 1) and then prove the statement to be true for ANY ARBITRARY NUMBER say k.

Now, from the given options:

A. Writing down the steps to solve a complicated math problem .

FALSE as the induction method is based on ASSUMPTION and INDUCTION.

B. Forming rules based upon observations and experiences .

FALSE as the induction method is based on ASSUMPTION and INDUCTION.  We need to induce the needed  statement or Result.

C. Starting with a given set of rules and figuring out what must be  true .

TRUE as the induction method is based on ASSUMPTION and INDUCTION.

We try and find out  the result with the given existing data.

D. Reducing the solution to a problem in lowest terms.

FALSE as the induction method is based on ASSUMPTION and INDUCTION.  

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Answer:

B. (2, -1)

Step-by-step explanation:

Take tracing paper and mark the origin and point m. Rotate 90 degrees clockwise around the origin. Point m will be at (2, -1).

7 0
2 years ago
The inequality <br>x + 13 &lt; 0 Give your answer in interval notation.​
elixir [45]

Answer:(−∞,-13)

Step-by-step explanation:

solve for x the convert to interval notation

<em>x<-13  → </em>(−∞,-13)

<em />

<em />

Since it's a < and not a ≤ you use a parentheses instead of a bracket

4 0
3 years ago
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Name.<br> Convert the decimal to a<br> fraction in simplest form.<br> 0.25
sineoko [7]

Answer:

Luke?

The decimal can be expressed as 5/20

Step-by-step explanation:

25/100 can be divded by 5 witch makes 5/20

6 0
2 years ago
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Solve each equation
Slav-nsk [51]

Answer:

b= -3

x= -2

x= -7

n = -6

Step-by-step explanation:

3b+7-1=-3

3b = -3 -7 +1

3b = -10+1

3b= -9

b = -9/3

b= -3

3x+1-6x=7

-3x = 7-1

-3x= 6

x= -6/3

x= -2

312=-6(7x-3)

312 = -6*7x +6*3

312= -42x +18

312-18= -42x

294 = -42x

x= -294/42

x= -7

-4(4n-8)=128

-4*4n +4*8 =128

-16n +32 = 128

-16n= 128-32

-16n = 96

n=-96/16

n = -6

7 0
3 years ago
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What is 4/9 divided by 4
vova2212 [387]

Answer:  0.11 (bar notation)

Step-by-step explanation:

5 0
3 years ago
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