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2 years ago

Step by step please -- algerbra 2 w(n) = 4n +2 ; find w(3n)

Mathematics

1 answer:

viva [34]2 years ago

4 0

Answer:

12n+2

Step-by-step explanation:

w(n)=4n+2

w(3n)=4(3n)+2

w(3n)=12n+2

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saul85 [17]

$\large\underline{\sf{Solution-}}$

Let us assume that:

$\sf \longmapsto x = \sqrt{6 + \sqrt{6 + \sqrt{6 + ... \infty } } }$

We can also write it as:

$\sf \longmapsto x = \sqrt{6 + x }$

Squaring both sides, we get:

$\sf \longmapsto {x}^{2} =6 + x$

$\sf \longmapsto {x}^{2} - x - 6 =0$

By splitting the middle term:

$\sf \longmapsto {x}^{2} - 3x + 2x - 6 =0$

$\sf \longmapsto x(x - 3) + 2(x - 3 ) =0$

$\sf \longmapsto (x+ 2)(x - 3 ) =0$

Therefore:

$\longmapsto\begin{cases} \sf (x+ 2) =0 \\ \sf (x - 3) = 0 \end{cases}$

$\sf \longmapsto x = - 2,3$

But x cannot be negative. 

$\sf \longmapsto x = 3$

Therefore, the value of the expression is 3.

$\large\underline{\sf{Verification-}}$

Given:

$\sf\longmapsto x=3$

We can also write it as:

$\sf\longmapsto x = \sqrt{9}$

$\sf\longmapsto x = \sqrt{6+3}$

$\sf\longmapsto x = \sqrt{6 + \sqrt{9}}$

$\sf\longmapsto x = \sqrt{6 + \sqrt{6+3}}$

$\sf\longmapsto x = \sqrt{6 + \sqrt{6+\sqrt{9}}}$

$\sf\longmapsto x = \sqrt{6 + \sqrt{6+\sqrt{6+3}}}$

This pattern will continue.

$\sf\longmapsto x = \sqrt{6 + \sqrt{6+\sqrt{6+...\infty}}}$

7 0

3 years ago

Factor the polynomial: x(5x-8)-2(5x-8)

sertanlavr [38]

x(5x-8)-2(5x-8) =(5x-8)(x-2)
Answer is C. (5x-8)(x-2)

3 0

3 years ago

Which statement is true for the graph of f(x) = 2x2 - 6x2 - 48x + 24? (Answers attached)

Fudgin [204]

Answer:

min = (4, -136) ; max = (-2,80)

Step-by-step explanation:

The option is B

3 0

2 years ago

Solve this equation 3x + 5 = 7x – 7

Mama L [17]

Add 7 to both sides
3x + 12 = 7x
Subtract 3x
12 = 4x
Divide by 4
x = 3

4 0

3 years ago

Read 2 more answers

Need this please!!! Graph Y=-5x-2!!! Thanks. :-)

Andreyy89

Graph the line using the slope and y-intercept, or two points.

Slope= -5

y- intercept= (0,2)

The answer has two points (0,2) and (1,-3) place them and then make a line going left through them.

7 0

2 years ago