1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Mama L [17]
3 years ago
11

Algebraically determine the roots of f(m)=m^3-2m^2+4m-8

Mathematics
1 answer:
julsineya [31]3 years ago
3 0

Answer:

Roots: 2, 2i, -2i

Step-by-step explanation:

f(m)=m^3-2m^2+4m-8

Set the expression equal to zero:

m^3-2m^2+4m-8=0

Factor out common terms:

m^2(m-2)+4(m-2)=0

Factor out (m-2):

(m-2)(m^2+4)=0

This equation will be true when either one of the multiplicands is equal to 0. Write 2 equations and solve:

m-2=0\\m=2

m^2+4=0\\m^2=-4\\m=2i, -2i

Roots: 2, 2i, -2i

You might be interested in
You invest $40,000 in two funds paying 4% and 52% simple interest. The total annual interest is $2080. How much do you invest in
natali 33 [55]

9514 1404 393

Answer:

  • 4% fund: $39,000
  • 52% fund: $1000

Step-by-step explanation:

Let x represent the amount invested at 52%. Then (40000-x) is the amount invested at 4%. The total annual interest is ...

  0.52x +0.04(40000-x) = 2080

  0.48x = 480 . . . . . . . . . subtract 1600, simplify

  x = 1000 . . . . . . . . . divide by 0.48

Then the amounts invested in each fund are ...

  4% fund: $39,000

  52% fund: $1000

6 0
3 years ago
Which transformation shows a reflection of ADEF? ​
antoniya [11.8K]

Answer: B or the second choice

Step-by-step explanation:

well for triangle DEF since E is on the top left, it should be on the bottom right. While F was on the bottom right, it would be on the top left where E originally was. The angles inside has the same situation with E and F, however D stills stays at the top because when reflected like a mirror, D stays at the top. Sorry it’s long and hope this helps!


PS u also took a pic of the correct answer lol XD

3 0
2 years ago
SOMEONE PLEASE HELP ME ON QUESTIONS 17-19 I NEED ASAP
Lana71 [14]

Answer:

17. 10x+24 OR 108   18. 72   19. 8.4

Step-by-step explanation:

(10x+24)+72=180

10x+96=180

10x=84

x=8.4

10x+24

10(8.4)+24

84+24

108

8 0
3 years ago
Explain answer ! <br><br> Will give brainlst
Ne4ueva [31]

Answer:

x = 4, y = 2

Step-by-step explanation:

Start by multiplying the first equation by 2:

2x + 2y = 12 --> 4x + 4y = 24

Subtract the second from the first:

   4x + 4y = 24

-   5x + 4y = 28

4x - 5x = -x

4y = 4y = 0

24 - 28 = -4

so you end with -x + 0 = -4

Solve for x to get x = 4

Plug x = 4 back into 2x + 2y = 12 to find y.

2(4) + 2y = 12

8 + 2y = 12

2y = 4

y = 2

5 0
3 years ago
If a polynomial function f(x) has roots 3+
irinina [24]

Answer:

Step-by-step explanation:

3+√5 is a root.

so 3-√5 is also a root

or (x-(3-√5)) is also a factor of f(x)

7 0
3 years ago
Other questions:
  • Translate the expression 5X -7 into words
    9·1 answer
  • Describe how you would compare 3.6 and <br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B12%7D%20" id="TexFormula1" title=" \sq
    9·2 answers
  • Write a description of the three different possibilities that may occur when graphing a system of two linear equations.
    8·1 answer
  • Please help,It will be so grateful...Thank you,I appereicate it
    5·1 answer
  • What is the expand form for 0.632
    5·1 answer
  • I WILL AWARD BRAINLIEST!! PLEASE HELP!!
    8·1 answer
  • . 15+ b<br> What’s the answer
    7·1 answer
  • You enter a relay race. To start, you must run 20 yards to Checkpoint A. You then must turn and run 12 yards to Checkpoint B. La
    8·2 answers
  • PLEASE HELP FAST!! 1) Construct the perpendicular bisector of the given
    12·1 answer
  • Points A, B, and C, form a triangle. The distance between point A and point B is 15 yards. The distance between point B and poin
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!