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3 years ago

Show the following conjectures are false by finding a counterexample.

Mathematics

1 answer:

Julli [10]3 years ago

3 0

''All prime numbers are odd."

That is incorrect because if we consider the smallest odd number, 2, is an even number. We can say that except 2, all prime numbers are odd.

14. section is wrong. For example, both numbers can be negative, so when we multiple these two, it will equals a positive value.

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Komok [63]

Answer:

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Genrish500 [490]

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Tamiku [17]

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Step-by-step explanation:

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3 years ago

Given the function h(x) = 4x, Section A is from x = 0 to x = 1 and Section B is from x = 2 to x = 3.

Ronch [10]

Answer with explanation:

The average rate of change in a function f(x) from x=a to x=b is given by :-

$k=\dfrac{f(b)-f(a)}{b-a}$

For Section A .

The average rate of change in a function h(x)=4x from x=0 to x=1 is given by :-

$k=\dfrac{h(1)-h(0)}{1-0}\\\\=\dfrac{4-0}{1}=4$

For section B .

The average rate of change in a function h(x)=4x from x=2 to x=3 is given by :-

$k=\dfrac{h(3)-h(2)}{3-2}\\\\=\dfrac{12-8}{1}=4$

The average rate of section A is same for section B because the function is a linear function, and the rate of change of a linear function is constant.

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