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
PLEASEEEE HELP I WILL GIVE BRAINLIEST!!
I am Lyosha [343]

Answer:

The average is 5.41666667 degrees.

Step-by-step explanation:

3 0
3 years ago
OKay, i need help asap pls. The ratio__ is equivalent to 12/36. The ratio__is not equivalent to 12/36.
EleoNora [17]

The ratio of 1:3 is equivalent to 12/36. The ratio 3 / 4 is not equivalent to 12/36.

Given that,
The ratio__ is equivalent to 12/36. The ratio__is not equivalent to 12/36.
Blank statement to be filled from the options.

<h3>What is the Ratio?</h3>

The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.

Here,
12 / 36 = 1 / 3
and
12 / 36 ≠ 3 / 4

Thus,  the ratio of 1:3 is equivalent to 12/36. The ratio 3 / 4 is not equivalent to 12/36.


Learn more about Ratio here:

brainly.com/question/13419413

#SPJ1

The question seems to be incomplete,
So we will fill a ratio that is equivalent to 12 / 36 and one ratio that is not equivalent to 12 / 36,
We have two ratios here 1:3 and 3:4


8 0
2 years ago
Consider the parameterization of the unit circle given by x=cos(3t^2-t), y=sin(3t^2-t) for t in (-infinity, infinity). Describe
PtichkaEL [24]

Answer and Step-by-step explanation:

The answer is attached below

3 0
3 years ago
If a triangle has three congruent angles, then it is equilateral.
Zielflug [23.3K]

I believe the answer is A "If a triangle is equilateral, then it has three congruent angles". Hope this helps!

5 0
3 years ago
Read 2 more answers
Write two numbers that multiply to the value on top and add to the value on bottom.
9966 [12]
The numbers are 3 and -30 They multiply and give -90 And add to give-27














8 0
2 years ago
Other questions:
  • Annual rent $ 7,380
    10·1 answer
  • There is only one city in Delaware county and that is dunston. The population of dunston is 6549. There are 43118 people living
    7·1 answer
  • Find the value of a and b<br><br> a^2 + b^2 = 400
    9·2 answers
  • Write an equation of the direct variation that includes the point (–10, –17).
    12·1 answer
  • Find the number of distinguishable permutations of the letters in the word vaccination
    15·1 answer
  • 46. Please due tomorrow
    7·2 answers
  • You have 87 marbles <br><br> Round that number to the nearest ten.
    9·1 answer
  • Pls help with this it’s 3:44 AM for me and I still didn’t finish My math work ( due tomorrow ) and it’s getting rlly late so can
    6·1 answer
  • The table reflects the prices at Strike-O-Rama Bowling Alley.
    10·1 answer
  • 1.99x+6=2.50x can someone help me
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!