A polynomial function of degree 4 with real coefficients could have -3, 1+i, 1-i, and -3,7i as its zeros. true or false

Answers

Answer 1

Using complex numbers concepts, it is found that the statement is false.

When a complex number is a root of a polynomial function, it's conjugate also has to be.

A complex number has the format [tex]a + bi[/tex], and it's conjugate is [tex]a - bi[/tex].

In this problem:

Real root -3.Complex-conjugate roots 1 + i and 1 - i.Complex root -3 + 7i.

The conjugate of -3 + 7i also has to be a root, which would make the polynomial of the 5th degree, as it would have 5 roots, thus, the statement is false.

A similar problem is given at https://brainly.com/question/24450834


Related Questions

Take away five from twelve times f

Answers

Answer: you didn’t fully put the question

Step-by-step explanation:

Step-by-step explanation:

according to your question if we take away five from twelve the answer is 7

Which of the following is a function equivalent
[tex]f(x) = 4 {(1.8)}^{2x} [/tex]

a.
[tex]f(x) = 4 {(3.24)}^{x} [/tex]
b.
[tex]f(x) = 4(3.24x)[/tex]
c.
[tex]f(x) = {12.96}^{x} [/tex]
d.
[tex]f(x) = {51.84}^{x} [/tex]

Answers

Answer:

The correct result would be f(x) = 4(3.24)x.

Step-by-step explanation:

What is the expression after applying the distributive property?

−35(−4+(−6))

Please help me!!!!!

Answers

Iorididhsjsisisisdiuddudusjshhssh

Answer:

The answer is 350. The expression after the distributive property is 140 + 210.

Step-by-step explanation:

-35( -4 + (-6))

Distributive property is

ex.

a( b +/- c) = ab + ac

So,

-35( -4 + (-6))

= 140 + 210     (a negative times a negative is a positive ( - ) x ( - ) = ( + )

= 350

please help!!! thank you so much whoever does!!

Answers

Answer:

32 lbs

Step-by-step explanation:

Given:

1/4 spicy trail mix

3/8 regular trail mix

20 total mix

Math:

1/4 + 3/8 = 5/8

20/ (5/8) = 32

Answer:

32 pounds

Step-by-step explanation:

Fraction of supply for regular trail mix= ⅜

Fraction of supply for spicy trial mix

= ¼

[tex] = \frac{2}{8} [/tex]

We multiply both the denominator and numerator by 2 for the fraction of supply used for spicy trail mix so that both fractions have a common denominator of 8. This is because the amount of raisins he has in his supply is constant.

Simplifying the above information into units form:

Total (supply)= 8 units

Regular trail mix= 3 units

Spicy trail mix= 2 units

Raisins used this week

= (3 +2) units

= 5 units

Since he used 20 pounds of raisins this week, we can equate 5 units to 20 pounds.

5 units ----- 20 pounds

Divide both sides by 5 to find how much raisins 1 unit represents:

1 unit ----- 20 ÷5= 4 pounds

Since his supply was 8 units of raisins,

8 units ----- 4(8)= 32 pounds

∴ He had 32 pounds of raisins at the beginning of the week.

PLEASE PROVIDE A PICTURE graph the solution to this system of inequalities in this coordinate plane. 3у > 2х + 12
2x +y < -5

Answers

Answer:

The double shaded region

A man rented a lawn mower from 9am to 4pm and paid $288.40. What was the rental cost per hour

Answers

Answer:

$288.40/7 = $41.20

Step-by-step explanation:

Answer:

$57.68 an hour

Step-by-step explanation:

take the amount charged and divide it by the number of hours he rented it

7. a Police can estimate the speed of a vehicle before the brakes are applied using the formula
0.75d =

30.25
where s is the speed in miles per
hour and d is the length of the vehicle's skid
marks. What was the approximate speed of a vehicle that left skid marks measuring 140 feet?
O about 10 miles per hour
O about 75 miles per hour
about 15 miles per hour
about 56 miles per
hour

Answers

Answer:

A

Step-by-step explanation:

On a drawing of a model airplane, the scale used is 1 in.:3 ft. How many feet would 4.5 inches represent?

A. 13.5 feet
B. 6.5 feet
C. 1.5 feet
D. 4.5 feet

Answers

Answer:

13.5

Step-by-step explanation:

4.5*3=13.5

3 time 4.5 is 12+1.5 so it’s A lol

Which of the following statements must be true based on the diagram below.please help

Answers

Answer:

A: ST is a segment bisector

Step-by-step explanation:

ST is a segment bisector. Point S cuts in between segment QP. While Point T cuts between segment PO.

What is the solution to the equation? square root -2x-5-4=x A. -7 and -3 B. 3 and 7 C. -3 D. 7

Answers

Answer:

3

Step-by-step explanation:

step1 Isolate the square root on the left hand side

    Original equation

    √2x-5-4 = -x

    Isolate

    √2x-5 = 4-x

step2 eliminate the radical on the left hand side

    Raise both sides to the second power

    (√2x-5)2 = (4-x)2

    After squaring

    2x-5 = x2-8x+16

step3 Solve the quadratic equation

    Rearranged equation

    x2  - 10x  + 21 = 0

    This equation has two rational roots:

      {x1, x2}={7, 3}

step4 Check that the first solution is correct

    Original equation, root isolated

    √2x-5 = 4-x

    Plug in 7 for  x  

     √2•(7)-5 = 4-(7)

     Simplify

     √9 = -3

     Solution does not check

     3 ≠ -3

step5 Check that the second solution is correct

    Original equation, root isolated

    √2x-5 = 4-x

    Plug in 3 for  x  

     √2•(3)-5 = 4-(3)

     Simplify

     √1 = 1

     Solution checks !!

    Solution is:

     x = 3

Answer:

-3

Step-by-step explanation: i got it right on my test

Help ill give a brainiest to the first person who answer

Answers

Answer:

i think the answer is b Robert earned 10, which was less than twice what Eric earned

Solve for x. PLEASE GIVE EXPLAINED WORK FOR IT

Answers

Answer:

x = 9

Step-by-step explanation:

7x - 25 = 4x + 2 (vertical angles)

7x - 4x = 2 + 25

3x = 27

x = 27/3

x = 9

4(9) + 2 = 38 degrees

the oblique pyramid has a square base with an edge length of 5 cm. the height of the pyramid is 7 cm. an oblique pyramid has a square base with an edge length of 5 centimeters. the height of the pyramid is 7 centimeters. what is the volume of the pyramid? 11two-thirds cm3 43three-fourths cm3 58one-third cm3 87one-half cm3

Answers

The volume of a square base pyramid with edge length of 5 cm and height of 7 cm is 58. 33 cm³

Volume of a pyramid

The volume of a pyramid is decribe as follows:

volume of a pyramid = 1 / 3 Bh

where

B = base areah = height of the pyramid

Therefore,

B = 5² = 25 cm²

volume of the pyramid = 1 / 3 × 25 × 7

volume of the pyramid = 175 / 3

volume of the pyramid = 58.3333333333

volume of the pyramid = 58. 33 cm³

learn more on pyramid here:https://brainly.com/question/3399922

Answer:

C. 58 1/3 cm^3

Step-by-step explanation:

Can someone help me with number 8?

Answers

Answer:  18.55 ft/s

Step-by-step explanation:

Rate of change = change in distance ÷ change in time

                          =  (3126 ft - 1735 ft) ÷ (120 s - 45 s)

                         = 1391 ft ÷ 75 s

                         ≈ 18.55 ft/s

∴ the rate of change is 18.55 ft/s.

if 2 + 2^2 + 2^3 +...+ 2^n = 510 then n = ?

Answers

Answer:

N= 8

Step-by-step explanation:

Answer:

n = 8

Step-by-step explanation:

This Geometric series. r = 2 and a = 2

[tex]S_{n}= \dfrac{a(r^{n}-1)}{r-1}\\\\\\\dfrac{2(2^{n}-1)}{2-1}=510\\\\\dfrac{2*(2^{n}-1)}{1}=510\\\\2*(2^{n}-1) = 510\\\\2^{n-1}=\dfrac{510}{2}\\\\2^{n} - 1 = 255\\\\2^{n}=255+1\\\\2^{n} = 256\\\\2^{n} =2^{8}[/tex]

n = 8


What is the value of x?
x= 12
x = 14
x = 22
x = 24

Answers

The answer is x = 12

write the equation in slope intercept-form for the line that passes through (0,-7) and (10,3)

Answers

The answer is y=x-7.

Please help with this math problem ASAP!! I will mark brainliest! :)

Answers

Answer:

y=4 x=6

Step-by-step explanation:

you said asap do i dont have time to explain


Find the solution of the system of equations.
2.x + 4y = -14
– 2y = 9

Answers

Answer:

x = 4, y = -9/2 (-4.5)

Step-by-step explanation:

Using the second equation, we can divide both sides by -2 and get

y = 9/-2

y = -9/2

Then, we plug this y value into the first equation and get:

x + 4(-9/2) = -14

Simplify:

x - 18 = -14

x = 4

What is the answer first one to answer gets marked braniest

Answers

Answer:

15

Step-by-step explanation:

Multiples of 5 are 10, 15, 20, 25, .......

The only number shown to be a multiple of 5 is 15

15 because 16,21 and 7 aren’t mutiples of 5

PLEASE HELP IT’S DUE TMR

Answers

Answer:

a = 5/3 (1 1/3)

b = 16/3 (5 1/3)

c = 42/5 (8 2/5)

d = 20/9 (2 2/9)

Step-by-step explanation:

Can I have brainliest pls?

2. Solve x2 + 2x + 7 = 0 using the Quadratic Formula​

Answers

Answer:

-1 ± i√7

Step-by-step explanation:

x² + 2x + 7 = 0D = 2² - 4*7 = 4 - 56 = -52x = (-2 ± √-28)/2 = (-2 ± 2√-7)/2 = -1 ± i√7

Jeandre said |6| equals |−6|. Is Jeandre correct? Complete the explanation.

Answers

Jeandre is correct because the absolute value of a number represents its distance from zero on the number line. Both 6 and -6 are 6 spaces away from 0.

passes through (1,4) and is parallel to the line y=2x-3

Answers

Answer:

y = 2x + 2

Step-by-step explanation:

Slope = 2

y-intercept: 4 - (2)(1) = 2

Please help!!

9.(05.02)
Solve the following system of equations: (5 points)
x - 2y = 5
2x - 4y = 10

Infinitely many solutions

No solutions

(0, 0)

(5, 10)

Answers

Answer:

Infinite solutions

Step-by-step explanation:

If you look at the equation, you will see that if you multiply everything by two (On the 1st equation), you get the 2nd equation. This means that the lines are the same, so infinite solutions.

Step-by-step explanation:

infinitely many solutions :)

Which is an expression that represents the horizontal side length of the triangle? Give the points(x,y) and (5,7) Lie on the line

Answers

Answer:

x - 5

Step-by-step explanation:

The x-coordinate of the left endpoint is 5.

The x-coordinate of the right endpoint is x.

length = x - 5

How many times larger than 2 x 102 is 2 x 108?

Answers

Answer:

1 x 106

Step-by-step explanation:

200,000,000 divided by 200 is equal to 1,000,000

Jada and her friends want to go indoor skating on Saturday night. Jacaranda Skating Zone charges $40 for entry and $12 per hour to skate, while Wiles Skating Zone charges $10 for entry and $22 per hour to skate. At how many hours would it be the same cost at either skating zones?

Answers

At 3 hours both Jacaranda and Wiles would have the same cost

Let y represent the total charges by Jacaranda and x represent the number of hours. Hence:

y = 12x + 40

Let z represent the total charges by wiles and x represent the number of hours. Hence:

z = 22x + 10

Since they are to have the same cost, hence:

y = z

12x + 40 = 22x + 10

10x = 30

x = 3 hours

Therefore at 3 hours both Jacaranda and Wiles would have the same cost.

Find out more at: https://brainly.com/question/13911928

Ig1000+log342........​

Answers

Answer:

5.53

Step-by-step explanation:

We know that lg 1000=3.

And using the calculator, we know that lg 342=2.53

plz help. The ratios of M&M's to skittles in the candy dish is 4 to 1. given this ratio, which two sets of candy counts are possible?​​

Answers

The answer is the first and second answers. This is because when you deal with ratios you can get an equal ratio by multiplying both sides of the ratio by the same number. In the first answer both side of the ratio were multiplied by 2. 4 x 2 = 8 and 1 x 2 = 2.
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