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kicyunya [14]
3 years ago
14

Use the rational root theorem to list all possible rational roots for the equation.

Mathematics
2 answers:
eduard3 years ago
6 0

Answer:

<h2>All possible rational roots are: 1, 1/3, 2, 2/3, 3, 6.</h2>

Step-by-step explanation:

The given expression is

3x^{3}+9x-6=0

The rational root theorem states the divisors of the constant are possible roots. Additionally, if the term with the greater exponent as a coefficient different than one, then we must incluce its divisor, to then divide them by the divisor of the constant.

According to the theorem, all possible rational roots are

Divisors of 6: 1, 2, 3, 6.

Divisors of 3: 1, 3.

Possible rational roots: 1/1, 1/3, 2/1, 2/3, 3/1, 3/3, 6/1, 6/3.

Therefore, all possible rational roots are: 1, 1/3, 2, 2/3, 3, 6.

Alik [6]3 years ago
5 0

Answer:

The possible rational roots are

\pm 1, \pm 2,\pm3,\pm6,\pm \frac{1}{3},\pm \frac{2}{3}

Step-by-step explanation:

We have been given the equation 3x^3+9x-6=0 and we have to list all possible rational roots by rational root theorem.

The factors of constant term are 1, 2, 3,6

The factors of leading coefficient are  1,3,

From ration root theorem, the possible roots are the ratio of the factors of the constant term and the factors of the leading coefficient. We include both positive as well as negative, hence we must include plus minus.

\pm\frac{1,2,3,6}{1,3}\\\\ =\pm 1, \pm 2,\pm3,\pm6,\pm \frac{1}{3},\pm \frac{2}{3}


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Ivahew [28]

Answer:

First of all, this question is not complete. So, we will be hypothetically create two accounts and try to choose the one with the greater profit.

Choice 1 = X = Final Amount after 12 years = $5600

Choice 2 = Y = Final Amount after 12 years = $6285.50

Hence, Lorena should choose choice 2, as it gives more profit over than choice 1.

Step-by-step explanation:

First of all, this question is not complete. So, we will be hypothetically create two accounts and try to choose the one with the greater profit.

Initial Deposit Amount = $3500

Time period = 12 years

Let's Suppose Lorena has two X and Y choices of accounts at H-town Bank.

X = simple interest of 5% over the initial amount for 12 years.

Y = Compound interest 5% over the initial amount for 12 years.

Solution:

Let's calculate the profit for choice 1 = X

Simple interest = 5%

Initial amount = $3500

Time period = 12 years

Formula = A = P (1 + rt)

where, A = Final amount after 12 years

t = time period in years  = 12

P = initial amount to be deposited = $3500

r = annual interest rate = 5%

Plug in the values to get the total amount.

A = 3500(1+0.05x12)

A = $5600 = final amount Lorena will get after 12 years.

Let's calculate the profit for choice 2 = Y

Compound interest = 5%

Initial amount = $3500

Time period = 12 years

Formula = A = P (\frac{r}{n} + 1)^{nt}

where,

A = Final amount after 12 years

t = time period in years  = 12

P = initial amount to be deposited = $3500

r = annual interest rate = 5%

n = number of times interest rate is applied or compounded. = 12

Plug in the values to get the total amount.

A = P (\frac{r}{n} + 1)^{nt}

A = $6285.50

Hence, Lorena should choose choice 2, as it gives more profit over than choice 1.

4 0
2 years ago
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BlackZzzverrR [31]

Answer:

Substitute the given value into the function and evaluate.

Substitute the given value into the function and evaluate.

3  tan  ( 8 )  <  −  1  =  0.4216225  <  −  1

0  =  0.4216225  <  −  1

5  =  0.4216225  <  −  1

521  =  0.4216225  <  −  1

Step-by-step explanation:

3 0
3 years ago
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Step-by-step explanation:

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So we can write a congruence statement:

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Answer:

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$32 = $32/$4

$32 = 8 packs

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Answer:

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