Mathematics High School

how to find imaginary zeros anf real zeros of F(x)=-4x^5-8x^3+12x​

Answers

Answer 1

Answer:

[tex]x=\{0, -1, 1, -i\sqrt{3}, i\sqrt{3}\}[/tex]

Step-by-step explanation:

We are given the function:

[tex]f(x)=-4x^5-8x^3+12x[/tex]

And we want to finds its zeros.

Therefore:

[tex]0=-4x^5-8x^3+12x[/tex]

Firstly, we can divide everything by -4:

[tex]0=x^5+2x^3-3x[/tex]

Factor out an x:

[tex]0=x(x^4+2x^2-3)[/tex]

This is in quadratic form. For simplicity, we can let:

[tex]u=x^2[/tex]

Then by substitution:

[tex]0=x(u^2+2u-3)[/tex]

Factor:

[tex]0=x(u+3)(u-1)[/tex]

Substitute back:

[tex]0=x(x^2+3)(x^2-1)[/tex]

By the Zero Product Property:

[tex]x=0\text{ and } x^2+3=0\text{ and } x^2-1=0[/tex]

Solving for each case:

[tex]x=0\text{ and } x=\pm\sqrt{-3}\text{ and } x=\pm\sqrt{1}[/tex]

Therefore, our real and complex zeros are:

[tex]x=\{0, -1, 1, -i\sqrt{3}, i\sqrt{3}\}[/tex]

Related Questions

What is 1/2 times 3/4

Answers

Answer:

3/8

Step-by-step explanation:

Answer:

3/8

Step-by-step explanation:

Idek what this is! help!!

Answers

It’s 3 . You multiply 2 three times to get 8

Pa sagot po pleaseee

Answers

Answer:

Step-by-step explanation:

haga la pregunta de nuevo, pero escríbala

Answer:

1. let x is the width

then

length = 2x

premiter = 2*( 2x+x) =  96

2. 3x = 24

3. let number is x

2/3 * x = 72

4. let two numbers are x, x+1

x + x +1 = 29

5.let number is x

then

4x+8 = 54

Step-by-step explanation:

3x3x3x3x7x8x9
megan hughes answer only

Answers

Answer:

40824

Step-by-step explanation:

hi im here

Solve the inequality: −6x+12≤36

Answers

Answer:x is less then or equal to -4

Step-by-step explanation:tiger algebra said so and its never wrong

Answer:

from what i know its a

Step-by-step explanation:

help asap please !! math

Answers

Answer:

11x40=51x

Step-by-step explanation:

you just add it

percents and numbers​

Answers

Answer:

16

Step-by-step explanation:

A right triangle is labeled with the hypotenuse 12m and an acute angle 23 degree
. Which of the following equations could be used to find the side length of one of the legs of the triangle.
A) sin. 23=12/x
B)cos =12/x
c)sin 23 =x/12
D) tan 23=x/12

Answers

Answer:

sin23= x/12

sin23(12)=x

0.391(12)=x

x=4.7 or 5

Holaaa, Esta es mi operación: 7-7: 1 x 1 + 3)por fi necesito una ayudis en esto

Answers

Asw= 2
7:1=7 x1=7
7-7=0+3=3
The answer is +3

can someone please help me with this? it would be so nice! and thank you!

Answers

1. Greatest common factor (GCF) would be 15, so the answer would be C, 15(x+2)

2. You are able to distribute -5, and you get -5x when it goes into x, and you get positive 10 because it is a negative times a negative. So the answer would be B, -5x + 10

3. On this type of problem, when there is a negative in the middle, you MUST turn it positive. This means you distribute the negative, and everything on the right of the minus sign changes to negative or positive. So it would change to -
(8x-6)+(x-4)
When you add, you get 9x-10, which is C.

4. Simply just add these two, which is what we got to on the last problem, and you get 20x-6, which is choice A.

5. For this, you substitute the numbers in the equation. So it would be -
2(5)-4(-1)
This would equal 14, which is A.

6. You substitute 4 for x, so it would be -
4^2 + 5
4 • 4 + 5
16 + 5
21, Choice B

7. When you combine like terms here, the 3y’s cancel out because they equal each other, so the answer would just be 19, which is A.

The answers for the given Expression are;

1) 15(x+2)

2) -5x + 10

3) 9x - 10

4) 20x - 6

5) 14

6) 21

7) 19

What is an Expression?

Numbers, symbols and operators (such as and times) grouped together that show the value of something.

Given are the Expressions to solve;

1) 15x + 30

GCF for this Expression is 15 therefore

15x + 30 = 15(x+2)

2) -5(x - 2) = -5 + 10

3) (8x - 6) - (-x + 4) = 8x - 6 + x - 4 = 9x - 10

4) (11x - 2) + (9x - 4) = 20x - 6

5) 2x - 4y when x = 5 and y = -1

2x - 4y = 2*5 - 4*(-1) = 14

6) x² + 5 when x = 4

4² +5 = 16 + 5 = 21

7) -3y + 12 + 3y + 7 = 19

Hence, The Answers are :

1) 15(x+2)

2) -5x + 10

3) 9x - 10

4) 20x - 6

5) 14

6) 21

7) 19

For more references on Expression, click;

https://brainly.com/question/14083225

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how can you solve 25% of 44 both mentally and with pencil and paper?

Answers

Answer:

Solving it mentally :-

It says 25% × 44. When we have a percent, change it to decimal and solve which would be easy to do it mentally.

25% = 0.25

0.25 × 44 = 11 *Answer is bolded.*

Solving it on paper :-

I have attached a picture of me doing it on paper.

Hope this helps, thank you :) !!

9x-5x=24

x=

I need a answer ASP!!!

Answers

9x-5x=24 :x=5

steps

9x-5x=24

add similar elements 9x-5x=4x

dive both sides by 4

4x/4=24/4

simplify

x=6

Please help!! I will give brainliest!

Answers

Answer:

Hope this helps you a little

Step-by-step explanatio

its  2nd one (nice pfp jucie wrld is a legend)

Sarah rolls a fair dice 156 times how many times was Sara expect to roll a number greater than two

Answers

Answer:

130 times

Step-by-step explanation:

156÷6=26

156-26=130

An item has a listed price of $70 If the sales tax rate is 7% how much is the sales tax (in dollars)?

Answers

Answer:

$74.9

Step-by-step explanation:

A tax of 7 percent was added to the product to make it equal to $74.9.

I hope this helps! ^^

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Estimate the quotient. 485 ÷ 68

Answers

Answer:

485÷68=7.13=7

Step-by-step explanation:

fisrt you must divided 485÷68=7.13=7

y = -3x+ 5
y = x - 3
(-2,-4)
(2,-1)
an infinite number of solutions

Answers

Your answer is (2,-1)
Your answer is the 2nd one (2,-1)

Evaluate 10b + 3c, if b=3 and c = 11.

Answers

Answer:

63

Step-by-step explanation:

10 × 3 = 30

3× 11 = 33

30 + 33 = 63

Breyelle is planning on purchasing a new sports-utility vehicle. The list price of the one she is most interested in buying is $32,000. This vehicle is expected to depreciate in value by 8.5% per year.

Which model could be used to calculate the daily depreciation for this vehicle?

V(t)=32,000(0.0233)^t

V(t)=32,000(0.9150)^t

V(t)=32,000(0.9767)t^t

V(t)=32,000(0.9998)^t

Answers

Answer:

V(t)=32,000(0.9767)t^t

Step-by-step explanation:

The correct model which could be used to calculate the daily depreciation for this vehicle is,

⇒ V (n) = 32,000 (0.915)ⁿ

What is mean by Subtraction?

Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.

We have to given that;

Breyelle is planning on purchasing a new sports-utility vehicle.

Here, The list price of the one she is most interested in buying is $32,000.

And, This vehicle is expected to depreciate in value by 8.5% per year.

Hence, the daily depreciation for this vehicle is,

V (n) = 32,000 (1 - 8.5%)ⁿ

V (n) = 32,000 (1 - 0.085)ⁿ

V (n) = 32,000 (0.915)ⁿ

Thus, The correct model which could be used to calculate the daily depreciation for this vehicle is,

⇒ V (n) = 32,000 (0.915)ⁿ

Learn more about the subtraction visit:

https://brainly.com/question/17301989

#SPJ3

The sum of Micah’s age and Aria’s age is 29. Aria is 5 years older than twice Micah’s age. Let x represent Micah’s age. The equation that can be used to find Micah’s age is
x + (x + 5) = 29.
x + (2 x + 5) = 29.
x + (2 x) = 29.
x + (2 x minus 5) = 29.

Answers

Answer:

x + (2x + 5) = 29

Step-by-step explanation:

Mica's age: x

Aria's age: 2x + 5

Sum of ages: x + (2x + 5)

Given sum of ages: 29

Equation: x + (2x + 5) = 29

Answer: x + (2x + 5) = 29

how many hours helppp

Answers

Answer

17.27 hours

Step-by-step explanation:

lemme know if it's good :)

value of x!?!?! I WILL MARK BRAINLIEST TO FIRST TO ANSWER!!!! THXX

Answers

tanx = opp/adj
tan39=x/32
(32)(tan39)= 25.9 or approx 26
x = 25.9 or approx 26

Malik is saving for a Playstation 5. He already has $120 and he is saving $20 per week. Is this scenario linear or nonlinear?

Answers

Answer:

the scenario is nonlinear

Step-by-step explanation:

T/F Given that a transversal intersects 2 parallel lines corresponding angles are always congruent.

Answers

Answer:

oof

Step-by-step explanation:

blah blaj

5 Clear 1 Petrov ran 7 laps around a track. Each lap around the track is a distance of mile. What is the total distance Petrov ran in feet? A 9,240 ft 3,017 ft 1,327 ft 36,960 ft​

Answers

Answer: 36,960 ft

Step-by-step explanation:

Each lap around the track was a mile in distance.

Petrov therefore ran a total of 7 miles.

A mile is 5,280 feet.

If Petrov ran 7 miles in total, this distance in feet is:

= 7 * 5,280

= 36,960 ft

Which equation could be uses to solve for the
value of x?

Answers

Answer:107 + 2x-5+x=180

Step-by-step explanation:

Renting a jet ski at Jerry's Water sports cost $20.00 per hour plus a one-time fee of $8.00. Renting jet skis from splash of fun costs $25.00 per hour with no one-time fee. the cost to rent a jet ski depends on the total number of hours, h, rented. How many hours must you rent a jet ski for the cost to be the same at jerry's water sport and at splash of fun?

Answers

Answer:

1.6 hours

Step-by-step explanation:

The computation of the number of hours is shown below:

For water sports

= 20x + 8

And,For splash of fun

= 25x

Now the cost of both would be same

i.e.

20x + 8 = 25x

8 = 5x

x = 1.6 hours

Noralie has a home-based business putting on children’s parties. She charges $45 to design the party and then $5.50 per child. Write a function rule that relates the total cost of the party to the number of children n.

f(n) = 5.5 – 55n

f(n) = 5.5n – 55

f(n) = 5.5 + 45n

f(n) = 45 + 5.5n

Answers

Answer:

The answer would be C because n is the number of children and it costs $5.50 per child plus an extra design fee of $45

Step-by-step explanation:

Design = $45

rate per child = $5.50

number of children, x

total cost, f(x) = $5.5x + $45

Compare these ratios

1.2:5 and 1:1

2. 0:5 and 100:1

3: 100:1 and 1:100

Answers

Answer:

ți-am dat răspunsul ce tot vrei ?

Answer:

Hiiiiiii

Step-by-step explanation:

how are you?

Simplify:
6(2x - 3) - (5x + 7)
thank you!!!

Answers

Answer:

7x-10

ye that's it

Answer:

7x−25 is the awnser !! Your welvome

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