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Dovator [93]
2 years ago
12

F (x) = x5 − 8x4 + 21x3 − 12x2 − 22x + 20 Three roots of this polynomial function are −1, 1, and 3 + i. Which of the following d

escribes the number and nature of all the roots of this function?
f (x) has two real roots and one imaginary root.

f (x) has three real roots.

f (x) has five real roots.

f (x) has three real roots and two imaginary roots.
Mathematics
2 answers:
NeTakaya2 years ago
5 0

Answer:

It's D on edge.

mr Goodwill [35]2 years ago
3 0

Answer:

D.  

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

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The alpha level that a researcher sets at the beginning of the experiment is the level to which he wishes to limit the probabili
Lelu [443]

Answer:

Kindly check explanation

Step-by-step explanation:

The alpha level set at the beginning of of an experiment is used by the researcher to the limit the probability if making a type 1 error. The type 1 error is committed when a true null hypothesis is incorrectly rejected.

The type 2 error on the other hand is committed when fail to reject a false null hypothesis.

Hence, in other to forestall the risk of incorrectly rejecting a true null hypothesis, the alpha level is set.

When critical region is split across both tails of the distribution, The z-score boundaries at an alpha level α = .05

α = .05 (95% confidence level)

When region is split into 2:

α/2 = .05/2

α/2 = 0.025

Loooking up the z table for the Zscore with probability of 0.025

Zscore = ±1.96

8 0
2 years ago
Mary was told that a line goes through the points (1, 3) and (6, -2) and has a slope of 3.
ki77a [65]

Answer:

a. The slope is incorrect

b. y = 3x, ( 0 , 0 )

c) y = 4 - x

Step-by-step explanation:

Given:-

The slope between two points (1, 3) and (6, -2) is 3.

a. Explain why the information Mary was given cannot be correct.

- The slope between two arbitrary points, ( x1 , y1 ) and  (x2 , y2) is given by the following relationship:

                         slope = ( y2 - y1 ) / ( x2 - x1)

- Use the given points (1, 3) and (6, -2) and determine the slope:

                        slope = ( -2 - 3 ) / ( 6 - 1 )

                        slope = ( -5 ) / ( 5 )

                        slope = -1

- Yes, the given slope is incorrect it should be = -1

b.If the given point (1, 3) and the given slope are correct, what is the equation for the line? Give the  coordinates of another point on the line

- We will assume the point (1,3) lies on line with a slope = 3.

- We will use the slope-intercept equation of line:

                              y = slope*x + c

Where,      m : Slope

                 c : y-intercept

                             y = 3x + c

Using the given correct point to evaluate the y-intercept (c):

                             3 = 3*1 + c

                             c = 0

- The equation of line is,

                            y = 3x

- The origin (0,0) lies on the line y = 3x.

c. If the given points are correct for the line, what is the slope? Write an equation for the line

- We will assume the points (1, 3) and (6, -2) lies on line with a slope calculated in part (a) to be = -1.

- We will use the slope-intercept equation of line:

                              y = slope*x + c

Where,      m : Slope

                 c : y-intercept

                             y = -x + c

Using the given points to evaluate the y-intercept (c):

                             3 = -1 + c

                             c = 4

- The equation of line is,

                            y = -x + 4

4 0
2 years ago
Un teren de 220 ha trebuie arat in 3 zile.Stiind ca a doua zi s-a arat de 1,5 ori mai mult ca in frima zi,iar in a treia zi s-a
AVprozaik [17]
I need a translation
5 0
2 years ago
Katrina has the option of an 8-year non-subsidized student loan of $32,000 at an annual interest rate of 3.5% or an 8-year subsi
Fiesta28 [93]

Answer: katrina will pay less interest on the 8-year non subsidized student loan

The total interest paid on the non-subsidized loan is USD 8,959

The total interest paid on the subsidized loan is USD 11,520

Step-by-step explanation:

Subsidized loan at 4.5% for 8years will be 4.5/100 × 32000 x 1/12= USD120/month, USD 1440/year. For 8 years, USD11,520

For non subsidized student loan at 3.5% will be 3.5/100 x 32000x 1/12= USD 93.33/month, USD 1,119per year and USD 8,959 for 8 years

6 0
2 years ago
32.15 is written correctly in EXPANDED FORM using FRACTIONS
marshall27 [118]

Answer:

Step-by-step explanation:

: Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 × 100 + 4 × 10 + 7 × 1 + 3 × (1/10) + 9 × (1/100) + 2 × (1/1000).

5 0
2 years ago
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