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3 years ago

What is -6n+5=1? Thanks!

Mathematics

2 answers:

ivann1987 [24]3 years ago

6 0

You subtract 5 to the other side so it'll read -6n=-4 then divide -6 to the other side and it'll be 2/3

bekas [8.4K]3 years ago

3 0

Subtract 5 from both sides of the equal sign and you would get -4 and then you would divide -6 by -4 and you can't do that so the awnser would be 6/4 because two negative equal a positive.

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Please see attachment

Dafna11 [192]

Answer:

a) The value of absolute minimum value = - 0.3536

b) which is attained at $x = \frac{1}{\sqrt{2} }$

Step-by-step explanation:

Step(i):-

Given function

$f(x) = \frac{-x}{2x^{2} +1}$ ...(i)

Differentiating equation (i) with respective to 'x'

$f^{l} = \frac{2x^{2} +1(-1) - (-x) (4x)}{(2x^{2}+1)^{2} }$ ...(ii)

$f^{l}(x) = \frac{2x^{2}-1}{(2x^{2}+1)^{2} }$

Equating Zero

$f^{l}(x) = \frac{2x^{2}-1}{(2x^{2}+1)^{2} } = 0$

$\frac{2x^{2}-1}{(2x^{2}+1)^{2} } = 0$

$2 x^{2}-1 = 0$

$2 x^{2} = 1$

$x^{2} = \frac{1}{2}$

$x = \frac{-1}{\sqrt{2} } , x = \frac{1}{\sqrt{2} }$

Step(ii):-

Again Differentiating equation (ii) with respective to 'x'

$f^{ll}(x) = \frac{(2x^{2} +1)^{2} (4x) - 2(2x^{2} +1) (4x)(2x^{2}-1) }{(2x^{2}+1)^{4} }$

put

$x = \frac{1}{\sqrt{2} }$

$f^{ll} (x) > 0$

The absolute minimum value at $x = \frac{1}{\sqrt{2} }$

Step(iii):-

The value of absolute minimum value

$f(x) = \frac{-x}{2x^{2} +1}$

$f(\frac{1}{\sqrt{2} } ) = \frac{-\frac{1}{\sqrt{2} } }{2(\frac{1}{\sqrt{2} } )^{2} +1}$

on calculation we get

The value of absolute minimum value = - 0.3536

Final answer:-

a) The value of absolute minimum value = - 0.3536

b) which is attained at $x = \frac{1}{\sqrt{2} }$

3 0

2 years ago

After deducting 10% provident fund a married person draws Rs 40,500 salary per month and one month's salary as festival bonus, t

olasank [31]

The annual income tax paid by the person is: $4,500.

<h3>Annual income tax</h3>

Using this formula

Annual income tax=[Salary÷(1-percentage deduction)]- Salary

Let plug in the formula

Annual income tax=[40,500÷(1-10%)]-40,500

Annual income tax=45,000-40,500

Annual income tax=4500

Therefore the annual income tax paid by the person is: $4,500.

Learn more about annual income tax here:brainly.com/question/26316390

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6 0

2 years ago

What is the slope of a line that is perpendicular to a line whose equation is −2y=3x+7 ?

Nina [5.8K]

2/3X
perpendicular slope is opposite of the sign and flip the fraction

5 0

3 years ago

The table shows the weights of onions at a grocery store.

zmey [24]

Answer:

Formula: 0.12x = y

Step-by-step explanation:

5 × 0.12 = 0.60

3 × 0.12 = 0.36

14 × 0.12 1.68

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3 years ago

Solve for x in the diagram below.

marshall27 [118]

Vertical angles are congruent, so:

$4x+50=150\\\\4x=100\\\\x=\boxed{25}$

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2 years ago