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
Vilka [71]
3 years ago
6

Select the correct text in the table. Use the fundamental theorem of algebra to determine whether each statement is sometimes tr

ue, always true, or never true.
1. A quadratic function has 2 distinct roots. always sometimes never
2. A cubic function has at least 1 real root. always sometimes never
3. A function with a degree of 5 has 5 roots. always sometimes never

4. A quadratic function can have only 1 complex solution. always sometimes never
Mathematics
2 answers:
Mariana [72]3 years ago
6 0

Answer:

MY ANSWER IS CORRECT IN PLATO!!!

1. Sometimes

2. Always

3. Always

4. Never

Step-by-step explanation:

1. A quadratic function has 2 distinct roots SOMETIMES

2. A cubic Function has at least 1 root ALWAYS

3. A function with a degree of 5 has 5 roots ALWAYS

4. A quadratic function can have only 1 complex solution NEVER

I JUST GOT 100% on the quiz in PLATO

yan [13]3 years ago
5 0

Answer:

1. Sometimes

2. Sometimes

3. Always

4. Sometimes

Step-by-step explanation:

1. Quadratic function : in which maximum power of x is two.

The roots of quadratic function can be either equal or different.

For example:

  • x^{2} -2x+1 will have two equal roots i.e. 1 and 1.
  • x^{2} -3x+2 will have two different roots i.e. 1 and 2.

So, <em>sometimes </em>is the correct answer.

2. Cubic function has atleast 1 real root.

Cubic function has maximum power of x as 3.

If the coefficients are real numbers then atleast 1 real root.

If the coefficients are imaginary in nature, then this is not true.

For example:

Cubic equation x^3 +i = 0 does not have any real root.

Cubic equation x^3 +1 = 0 has a real root x = -1.

So, it is sometimes true.

3. A function with degree 5 i.e. maximum power of x as 5 will have 5 roots.

It is always true that a function will have number of roots equal to its degree.

4. Quadratic function can have only 1 complex solution.

Two complex solutions are also possible for a quadratic function.

For example:

x^{2} +1=0 will have two imaginary roots: x=i, -i

It is also possible to have 1 complex solution,

For example:

(x-1)(x-i) = 0 will have one complex root and one real root.

So, the statement is <em>sometimes </em>true.

You might be interested in
3 thousands 2 hundreds 15 tens 2 ones
baherus [9]
3,352 is the answear.
7 0
3 years ago
Read 2 more answers
Place Math Quiz
Aleksandr [31]

Answer:

c) $136,800

Step-by-step explanation:

Since the thing is 3 years and in 3 year there are 36 months. And since $3,800/mo so 36 x 3,800 = 136,800

So the answer is $136,800

6 0
3 years ago
Will mark branlist for the first one to help
Nikitich [7]

Answer:

17°

Step-by-step explanation:

73°= EGB

EGB+ x° = 90°

so x° = 90°-73° =17°

8 0
3 years ago
Omg someone plz help me I’ve been waiting for hours plzzz
TEA [102]
I would say the last one of shopping at Greggslist of grandparents for 3
,yeah the fourth answer to the top to bottom or the first from bottom to top
1
2
3
4< Online shopping at Greggslist is about 3 <Answer
Hope this helps!
@SamSamySamantha
6 0
3 years ago
Of 20 chickens, 9 are brown. What fraction is brown? (please show the working)​
Novosadov [1.4K]

Answer:

9/20  also 45%

Step-by-step explanation:

well if 20 of them 9 are brown so 9 out of 20 of them are brown/45% of them because out of 20 each thing right or each person is 5%

8 0
2 years ago
Read 2 more answers
Other questions:
  • How to divide 246 divided by 6?
    14·1 answer
  • Help please practical math
    9·1 answer
  • Solve 3k^2=8k+8,using completing the square method ​
    5·2 answers
  • A nursery owner buys 7 panes of glass to fix some damage to her greenhouse. The 7 panes cost
    15·1 answer
  • Solve for x. 4^(×-1)=1<br>​
    10·1 answer
  • Help please like hurry I’ve been out of school for 8 months just dumped us in another school never done Algebra in my life and t
    6·1 answer
  • Determine the sample size required to estimate the mean score on a standardized test within 4 points of the true mean with 98% c
    6·1 answer
  • if bought 15 caterpillars for $3.00, how much was each caterpillar (find the unit rate for price per caterpillar)
    8·2 answers
  • The drama Club meets in the school auditorium every 2 days, and the choir meets There every 5 days. If the groups are both meeti
    15·2 answers
  • The length of a rectangle is 5 more than the width. The perimeter is 120. What is the length, width, and area? Please HELP
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!