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
xxTIMURxx [149]
3 years ago
13

Can a cubic equation have 3 complex roots? 3 real roots? ...?

Mathematics
1 answer:
trasher [3.6K]3 years ago
7 0
No, a cubic equation can not have three complex roots. This is because it turns twice and one end goes to positive infinity and one end goes to negative infinity. Thus, one of these MUST cross the x-axis at some point, meaning y = 0 and a real root exists.

Yes, a cubic equation can have three real roots if it cuts the x-axis three times.
You might be interested in
Suppose you pick a tile out of a bag containing 26 tiles marked with the letters A through Z. What is the probability of picking
Liula [17]
Given that <span>a bag contains 26 tiles marked with the letters A through Z.

The probability of picking a letter from the name JACK is 4 / 26

The probability of picking a letter from the name BEN is 3 / 26.

Therefore, the probability of picking a letter from the name JACK or from the name BEN iis given by 4 / 26 + 3 / 26 = 7 / 26 </span>
6 0
3 years ago
Alesha is inviting 10 friends to a party, and each friend will get 5 cookies. How many cookies does Alesha need to get
Montano1993 [528]

Answer:

Step-by-step explanation:

10x5=50

5 0
3 years ago
Read 2 more answers
Passes through (1,12) and has a vertex (10,-4)
agasfer [191]

Answer: 16/81 (x-10)^2 -4

Step-by-step explanation:

To write a vertex equation with just a point and the vertex, you have to figure out the variables.

In vertex form, the equation is y = a (x-h)^2 + k

Your y is 12, x = 1, h = 10, and k = -4

Plug everything into equation

12 = a (1 - 10)^2 -4

12 = a (-9)^2 - 4

12 = 81a - 4

16 = 81a

16/81 = a

Now you know what the 'a' value is.

If you graph 16/81 (x-10)^2 -4 , you will get a point at (1,12) and a vertex of (10,-4)!

I hope this helps!

3 0
3 years ago
HURRY IM TIMED!! which inequality is represented by this graph?
antiseptic1488 [7]

Answer:

x<6 this is the answer because the circle is hallow (not including) and going left (less than)

7 0
3 years ago
Read 2 more answers
How many ways can eight letters be arranged into groups of five where order matters and the first two letters are already chosen
fenix001 [56]

Answer:

120

Step-by-step explanation:

Since we're dealing with a problem where the order matters and the first two letters are already chosen we need to subtract the number of letters and the number of available slots per group.

We use the permutation formula to find the answer, but before that let's check values.

n = 8

k = 5

Now since there are two letters already chosen we have to deduct two from both the value of n and k.

n = 6

k = 3

Now we can use the permutation formula:

_{n}P_{k}=\dfrac{n!}{(n-k)!}

_{6}P_{3}=\dfrac{6!}{6-3)!}

_{6}P_{3}=\dfrac{6!}{3!}

_{6}P_{3}=\dfrac{6*5*4*3*2*1}{3*2*1}

The 3*2*1 cancels out and leaves us with:

_{6}P_{3}=6*5*4

_{6}P_{3}=120

So there are 120 possible ways to arrange eight letters into groups of five where order matters and the first two letters are already chosen.

6 0
3 years ago
Read 2 more answers
Other questions:
  • How many pairs of whole numbers have the Sum of 12
    7·1 answer
  • If you can choose one scoop of ice cream and one topping, how many different sundaes can you make?
    10·2 answers
  • Evaluate A2 for A = -3.
    9·2 answers
  • a prism has a triangular base with an area of 3.7 square meters. if the height of the prism is 0.5 meters,what is the volume of
    13·2 answers
  • The scale of a room in a blueprint is 3in:5ft. A wall in the same blueprint is 18in. Plzzz complete table
    14·1 answer
  • The cross country team ran 1.797 hours yesterday and 1.56 hours today. Each member of the team ran 3.4 miles every hour. How man
    8·1 answer
  • What is the step by step process of multiplying matrices?
    7·1 answer
  • A man walks for x hours at a speed of
    14·1 answer
  • Cho biết DABC ∽DMNP theo tỉ số 2/3 và chu vi của DABC là 12cm. Chu vi của DMNP là .Kết luận đúng là:
    10·2 answers
  • GIVE AWAY TIME!!!!!!
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!