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sergij07 [2.7K]
3 years ago
14

Which will result in a difference of squares?

Mathematics
2 answers:
Firlakuza [10]3 years ago
4 0

Answer:

The correct option is 3.

Step-by-step explanation:

The difference of squares is defined as

a^2-b^2=(a-b)(a+b)

In option 1,

(-7x+4)(-7x+4)=(-7x+4)^2

This expression is a perfect square, therefore this is not the difference of squares. Option 1 is incorrect.

In option 2,

(-7x+4)(4-7x)=(-7x+4)(-7x+4)=(-7x+4)^2

This expression is a perfect square, therefore this is not the difference of squares. Option 2 is incorrect.

In option 3,

(-7x+4)(-7x-4)=(-7x)^2-(4)^2

This expression is the difference of squares., therefore Option 3 is correct.

In option 4,

(-7x+4)(7x-4)=-(-7x+4)(-7x+4)=-(-7x+4)^2

This expression is a perfect square, therefore this is not the difference of squares. Option 4 is incorrect.

Cerrena [4.2K]3 years ago
3 0

Answer:

C

Step-by-step explanation:

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Step-by-step explanation:

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2 years ago
An integer N is to be selected at random from {1, 2, ... , (10)3 } in the sense that each integer has the same probability of be
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Answer:

Probability of N Divisible by 3 - 0.33

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Step-by-step explanation:

Given data:

Integer N {1,2,.....10^3}

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total number of ways by which 1000 is divisible by 5 i.e. 1000/5 = 200

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total number of ways by which 1000 is divisible by 7 i.e. 1000/7 = 142.857

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total number of ways by which 1000 is divisible by 15 i.e. 1000/15 = 66.667

Probability of N divisible by 15 {N%15 = 0 } = \frac{66.667}{1000} = 0.066

total number of ways by which 1000 is divisible by 105 i.e. 1000/105 = 9.52

Probability of N divisible by 105 {N%105 = 0 } = \frac{9.52}{1000} = 0.0095

similarly for N is selected from 1,2.....(10)^k where K is  large then the N value. Therefore effect of k will remain same as previous part.

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3 years ago
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Step-by-step explanation:

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A boat that costs $8550 decreases in value by 12% per year. How much will the boat be worth after 3 years?
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