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Debora [2.8K]
3 years ago
10

What is a counterexample for the conjecture?

Mathematics
1 answer:
Dmitriy789 [7]3 years ago
4 0

Answer:

A counterexample for a conjecture is the statement that disproves a conjecture.

Step-by-step explanation:

To find : What is a counterexample for the conjecture?

Solution :

A conjecture is an educated guess but not yet proven. It is possible that next example shown the conjecture wrong.

A counterexample is an example that disproves or disagree a conjecture.

For example : Prime numbers - 3,7,11,23

Conjecture  - All prime numbers are odd

Counterexample - 2

→ 2 is a prime number but not odd, it is an even number.

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Use a calculator or a square root table to approximate to the nearest thousandth
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Answer:

- 13.077

Step-by-step explanation:

Here we have to calculate the square root of a certain number using the help of the calculator or a square root table.

The given expression is - \sqrt{ 171 }.

Now, using calculator \sqrt{ 171 } = 13.076696

Now,  - \sqrt{ 171 } = - 13.076696

So, approximate value to the nearest thousandth is - 13.077 ( Answer )

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Use long division to find the quotient below. (2x^3+x2+25)/(2x+5)
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Answer:

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Step-by-step explanation:

               x^2               -2x              +5

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

2x + 5  /    2x^3      +     x^2       +    0x         + 25

               -(2x^3      +   5x^2)

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

                                    -4x^2       +    0x        

                                  -( -4x^2      -    10x )

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

                                                           10x           + 25

                                                         -(10x            + 25)

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

                                                                                   0

The desired quotient is x^2               -2x              +5

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Please help me. Do not understand it.
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