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3 years ago

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N is an integer. Prove that (2n+1)(n+3)+(2n+1)(n-2) is not a multiple of 2. thanks.

1 answer:

KonstantinChe [14]3 years ago

3 0

Answer:

(2n + 1)(n + 3) + (2n + 1)(n - 2)

= (2n + 1)(n + 3 + n - 2)

= (2n + 1)2n + 1)

= 4n² + 4n + 1

= 2(2n² + 2n) + 1

can see 2(2n² + 2n) is a multiple of 2 but 1 isnt a multiple of 2

=> 2(2n² + 2n) + 1 is not a multiple of 2

=> (2n + 1)(n + 3) + (2n + 1)(n - 2) is not a multiple of 2

Step-by-step explanation:

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cestrela7 [59]

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3 years ago

Which of the following is an extraneous solution of the square root of -3x-2=x+2

yarga [219]

Answer:

x=-6 is an extraneous solution

Step-by-step explanation:

we have

$\sqrt{-3x-2} =x+2$

squared both sides

$-3x-2=(x+2)^2$

$-3x-2=x^2+4x+4$

$x^2+7x+6=0$

solve the quadratic equation by graphing

The solution is x=-6 and x=-1

see the attached figure

<u><em>Verify each solution</em></u>

substitute the value of x in the original expression

For x=-6

$\sqrt{-3(-6)-2} =-6+2$

$\sqrt{16} =-4$

$4=-4$ ----> is not true

so

Is an extraneous solution

For x=-1

$\sqrt{-3(-1)-2} =-1+2$

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so

Is the solution

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3 years ago

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harkovskaia [24]

Step-by-step explanation:

Mechanical advantage can be defined using distances:

Mechanical advantage = input distance / output distance

Or it can be defined using forces:

Mechanical advantage = output force / input force

Solving for the output force:

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Plugging in values:

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3 years ago

16.45 markdown 33% what’s the anwser

Fittoniya [83]

dude, use a calculator

Step-by-step explanation:

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