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lisov135 [29]
3 years ago
6

Three roots of a fifth degree polynomial function f(x) are -2,2 and 4 + i which statement describes the number and nature of all

roots for this function?

Mathematics
1 answer:
liubo4ka [24]3 years ago
4 0

Answer:

f(x) has three real roots and two imaginary roots.

Step-by-step explanation:

Given that three roots of a fifth degree polynomial function f(x) are -2,2 and (4+i).

Now we need to find about which of the given statements describes the number and nature of all roots for this function.

We know that imaginary roots always occur in conjugate pairs.

So if (4+i) is root then (4-i) must also be the root.

So now we have total 4 roots

-2, 2, (4+i) and (4-i).

Degree of the polynomial is 5 so that means 1 root is still remaining. It can't be imaginary as that must be in pairs

So that means 5th root is real.

Hence correct choice is :

f(x) has three real roots and two imaginary roots.

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Nicolas has $6,500 to deposit into an account which earns 3.25% interest compounded annually. How interest will he have earned a
agasfer [191]

We have been given that Nicolas has $6,500 to deposit into an account which earns 3.25% interest compounded annually. We are asked to find amount of interest earned at the end on 8 years.

We will use compound interest formula to solve our given problem.

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

A = Final amount,

P = Principal amount,

r = Annual interest rate in decimal form,

n = Number of times interest is compounded per year,

t = Time in years.

3.25\%=\frac{3.25}{100}=0.0325

A=6500(1+\frac{0.0325}{1})^{1\cdot 8}

A=6500(1+0.0325)^{8}

A=6500(1.0325)^{8}

A=6500(1.2915775352963673)

A=8395.253979

Now we will subtract principal amount from final amount to find amount of interest as:

\text{interest}=8395.253979-6500

\text{interest}=1895.253979\approx 1895.25

Therefore, Nicolas would have earned $1895.25 in interest at the end of 8 years.

7 0
3 years ago
I need help like now !!
Kazeer [188]

Answer:

5

Step-by-step explanation:

6 0
3 years ago
Two different weight loss programs are being compared to determine their effectiveness. Ten men were assigned to each program (t
True [87]

Answer:

WE reject the Null and conclude that one of the drug is more effective than the other.

Step-by-step explanation:

Given :

Diet 1 3.4 10.9 2.8 7.8 0.9 5.2 2.5 10.5 7.1 7.5

Diet 2 11.9 13.1 11.6 6.8 6.8 8.8 12.5 8.6 17.5 10.3

This is a matched pair sample :

The hypothesis :

H0 : μd = 0

H1 : μd ≠ 0

Hence, we intun the difference between the two groups of value :

Difference, d = -8.9,-2.2,-8.8,1,-5.9,-3.6,-10,1.9,-10.4,-2.8

The test statistic :

dbar ÷ (Sd/√n)

dbar = mean of difference = Σd / n = - 49.7 / 10 = - 4.97

Standard deviation of difference, Sd = 4.51

Test statistic :

-4.97 ÷ (4.51/√10)

Test statistic = - 3.485

The sample size, n = 10

df = n - 1 ; 10 - 1 = 9

Critical value (0.10, 9) = 1.833

If Test statistic > |Critical value |

Since 3.486 > 1.833 ; WE reject the Null and conclude that one of the drug is more effective than the other

5 0
3 years ago
What is the algebraic expression for: four less than three times the number of egg orders and six more than two times the number
Ira Lisetskai [31]
3n - 4 + 6 + 2n

I believe that's the answer!
5 0
3 years ago
What is the factored form of the polynomial?
Ilya [14]
(x-9)(x-3), because -9 and -3 make a sum of -12 and a product of +27
4 0
3 years ago
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