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
OverLord2011 [107]
3 years ago
12

If a polynomial function f(x) has roots –8, 1, and 6i, what must also be a root of f(x)? A. –6

Mathematics
2 answers:
-BARSIC- [3]3 years ago
7 0

Answer:

B. –6i

Step-by-step explanation:

Complex roots come in pairs.  The pairs are complex conjugates.  If you have a+bi, then you will have a-bi

Since we have 6i,  the other root must be -6i

anyanavicka [17]3 years ago
6 0

Answer:

-6i

Step-by-step explanation:

Complex roots always come in pairs, and those pairs are made up of a positive and a negative version. If 6i is a root, then its negative value, -6i, is also a root.

If you want to know the reasoning, it's along these lines: to even get a complex/imaginary root, we take the square root of a negative value. When you take the square root of any value, your answer is always "plus or minus" whatever the value is. The same thing holds for complex roots. In this case, the polynomial function likely factored to f(x) = (x+8)(x-1)(x^2+36). To solve that equation, you set every factor equal to zero and solve for the x's.

x + 8 = 0

x = -8

x - 1 = 0

x = 1

x^2 + 36 = 0

x^2 = -36 ... take the square root of both sides to get x alone

x = √-36 ... square root of an imaginary number produces the usual square root and an "i"

x = ±6i

You might be interested in
5 friend's are having a tennis tournament.Each friend will play the other 4 friend once. How many matches will be played
Paraphin [41]
The handshake problem!
Each of the five will play against 4 others, but since A vs B can be considered the same game as B vs A, so there are 5*4/2=10 matches.

3 0
3 years ago
Complete the table for the radioactive iotope. (Round your anwer to 2 decimal place. Iotope : 239 Pu
Marizza181 [45]

If the radio active isotope has the half life of 24100 years, then the initial quantity is 2.16 grams

The half life in years = 24100

Consider the quantity of the radio active isotope remaining

y = Ce^{kt}

When t = 1000 the y = 1.2

y = C/2 when t = 1599

Substitute the values in the equation

C/2 = Ce^{24100k}

Cancel the C in both side

1/2 = e^{24100k}

Here we have to apply ln to eliminate the e terms

ln (1/2) = 24100k

k = ln(1/2) / 24100

k = -2.87× 10^-5

To find the initial value we have to substitute the value of k and y in the equation

1.2 = Ce^{1000 ×  -2.87× 10^-5}

C = 1.2 / e^(-0.0287)

C = 2.16 gram

Hence, the initial quantity of the radioactive isotope is 2.16 gram

Learn more about half life here

brainly.com/question/4318844

#SPJ4

7 0
1 year ago
Witch fraction is equivalent to 4/20
Vinvika [58]

Answer:

2/10

Step-by-step explanation:

smart 'v'

3 0
3 years ago
Read 2 more answers
What is y=x-4 2x+y=5
ahrayia [7]
If you would like to solve y = x - 4 and 2 * x + y = 5, you can do this using the following steps:

y = x - 4
2 * x + y = 5
_____________
2 * x + (x - 4) = 5
2 * x + x = 5 + 4
3 * x = 9     /3
x = 9 / 3 
x = 3

y = x - 4 = 3 - 4 = -1

The correct result would be x = 3 and y = -1.
7 0
3 years ago
Read 2 more answers
What is 7% of 300 pounds
olga55 [171]

Answer:

21

Step-by-step explanation:

Of means multiply

7% * 300

Change to decimal form

.07 * 300

21

4 0
3 years ago
Other questions:
  • Which of the binomials below is a factor of this trinomial?
    15·1 answer
  • How many 100s are there in 1000? <br><br> Write to explain
    15·2 answers
  • You have $2,000 to invest and want it to grow to $3,000 in two years. What interest rate would you need to find to make this pos
    13·2 answers
  • Janet, Kay, and Lam are hiking. Lam forgot to bring water. Janet brought 2 gallons of water and Kay brought 1 3/4 gallons of wat
    6·1 answer
  • Solve in terms of x and Y
    10·1 answer
  • So I kinda forgot how to do this *nervous laughter* um help​
    9·1 answer
  • In the formula p=kt find t when k=36 and p=144
    12·2 answers
  • URGENT PLEASE HELP
    11·2 answers
  • Sqrt(2x-6)=3-x<br> Solve for x
    12·1 answer
  • 3. The line y - 6 = (x - 3) passes through which point?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!