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3 years ago

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I need ASAP!! Find CU. If necessary, round answers to 4 decimal places

1 answer:

MA_775_DIABLO [31]3 years ago

5 0

Answer:

The correct answer for this equational ratio is x = 5

Step-by-step explanation:

In order to calculate for x, we must create the necessary ratios

$\frac{16}{20} = \frac{45-5x}{5x}$

Cross multiply to get

900 - 100x = 80x

900 = 180x

x = 5

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Help appreciated on question in image!<br> Thanks:)

Verdich [7]

Answer:

$x=-1,\:x=-7,\:x=i,\:x=-i$

Step-by-step explanation:

Considering the equation

$x^4+8x^3+8x^2+8x+7=0$

Solving

$x^4+8x^3+8x^2+8x+7$

$\mathrm{Factor\:}x^4+8x^3+8x^2+8x+7:\quad \left(x+1\right)\left(x+7\right)\left(x^2+1\right)$

As

$\mathrm{Use\:the\:rational\:root\:theorem}$

$a_0=7,\:\quad a_n=1$

$\mathrm{The\:dividers\:of\:}a_0:\quad 1,\:7,\:\quad \mathrm{The\:dividers\:of\:}a_n:\quad 1$

$\mathrm{Therefore,\:check\:the\:following\:rational\:numbers:\quad }\pm \frac{1,\:7}{1}$

$-\frac{1}{1}\mathrm{\:is\:a\:root\:of\:the\:expression,\:so\:factor\:out\:}x+1$

$=\left(x+1\right)\frac{x^4+8x^3+8x^2+8x+7}{x+1}...[A]$

Solving

$\frac{x^4+8x^3+8x^2+8x+7}{x+1}$

$=x^3+7x^2+x+7$

Putting $\frac{x^4+8x^3+8x^2+8x+7}{x+1}$ = $x^3+7x^2+x+7$ in equation [A]

So,

$\left(x+1\right)\frac{x^4+8x^3+8x^2+8x+7}{x+1}...[A]$

$=\left(x+1\right)x^3+7x^2+x+7$

As

$x^3+7x^2+x+7=\left(x+7\right)\left(x^2+1\right)$

So,

Equation [A] becomes

$=\left(x+1\right)\left(x+7\right)\left(x^2+1\right)$

So, the polynomial equation becomes

$\left(x+1\right)\left(x+7\right)\left(x^2+1\right)=0$

$\mathrm{Using\:the\:Zero\:Factor\:Principle:\quad \:If}\:ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)$ $\mathrm{Solve\:}\:x+1=0:\quad x=-1$

$\mathrm{Solve\:}\:x+7=0:\quad x=-7$

$\mathrm{Solve\:}\:x^2+1=0:\quad x=i,\:x=-i$

$\mathrm{The\:solutions\:are}$

$x=-1,\:x=-7,\:x=i,\:x=-i$

Keywords: polynomial equation

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3 years ago

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This question is from Apex: Algerba 1 Sem 2: 3.5.3 Quiz (PLEASE HELP! Thanks)

Radda [10]

Answer:A

Step-by-step explanation:

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3 years ago

How to divided the two numbers

Elina [12.6K]

Answer: 30

Step-by-step explanation:

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3 years ago

The graph shows the path that Karis bicycles on Thursday. Each unit represents 1 mile. She bicycles north, then east, then south

Ulleksa [173]

Yes Karis is correct I hope this helps and if its wrong let me know but I'm sure I'm correct

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3 years ago

The area of a triangle is 6.75 m to the 2 power. If the base of the triangle is 3 m, what is the height of the triangle?

4vir4ik [10]

<span>The area of a triangle is 6.75 m^2

=> (1/2) x base x height=</span>6.75 m^2
=>(1/2) x 3 x <span>height = </span>6.75
=><span>height = (</span>6.75x2)/3= 4.1

so the height is 4.1m

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4 years ago

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