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3 years ago

How do you choose the level of accuracy given the limitations of a situation?

Mathematics

1 answer:

Airida [17]3 years ago

4 0

Accuracy is how close a measured value is to the actual (true) value.

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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

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

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

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

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

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

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

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

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

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,

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

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

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

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

Learn polynomial equation from brainly.com/question/12240569

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5 0

3 years ago

Read 2 more answers

Tom's backyard has an area of 25 square yards. What is its area in square inches? (1 yd = 36 in.)

Iteru [2.4K]

Hey there!!

The area given : 25 square yards

We will find the length of the square.

Square area = side²

side² = 25

side = √25

side = 5 yards.

Now convert this into inches

1 yard --> 36 inches

5 yards --> 180 inches

Area = 180²

Area = 32400 inches²

Hope my answer helps!!

6 0

3 years ago

A square has a side length of p - 7. What is its area?

Masteriza [31]

Answer:

p²-14p+49

Step-by-step explanation: To find the area of a square just multiply side x side. So (p-7)(p-7). Use FOIL or double distributive property to get p²-7p-7p+49 then combine the two middle terms to get p²-14p+49

6 0

3 years ago

Read 2 more answers

How can you quickly determine the number of roots a polynomial will have by looking at the equation?

Goryan [66]

First, you need to get delta which is b squared minus 4ac. If delta is higher than cero, the polynomial has two solutions, if it is less, the polynomial has no real solutions and if it is the same, it has one solution.
Although that is only for second grade ecuations

7 0

3 years ago

Read 2 more answers

If the probability of receiving a message on the internet today is 8/9, what is the probability of not receiving a message?

PIT_PIT [208]

Answer:

The probability is 1/9

Step-by-step explanation:

1 - 8/9 = 1/9

6 0

3 years ago