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
faust18 [17]
3 years ago
15

After solving the equation x^2+ 9 = 6x, Donna stated that the Fundamental Theorem of Algebra is true for this equation. However,

Cassie stated that the
Fundamental Theorem of Algebra is NOT true for this equation. Which statement justifies a correct conclusion about the Fundamental Theorem of Algebra with
respect to the given equation?
A Donna is correct because there is a double root.
B. Cassie is correct because there are no real roots.
C. Cassie is correct because there is only one real root
D. Donna is correct because there are two different real roots.
Mathematics
1 answer:
Triss [41]3 years ago
3 0

Answer:

Step-by-step explanation:

The Fundamental Theorem of Algebra states that the number of complex roots a polyomial has is equal to its highest exponent.  This is a squared polynomial; second degree; quadratic.  When it is factored, no matter what types of numbers you get as the solution, you will ALWAYS have 2 of them.  When this quadratic is factored, we get that x = 3 and x = 3.  That means that this is a quadratic that touches the x-axis at (3, 0).  It doesn't go through, it only touches.  We do have 2 roots, but since they're the same, we say we have a multiplicity 2 of that root.  The closest you'll come to that in your choices is A.  Apparently your text refers to multiplicity 2 as a double root.

You might be interested in
You are an urban planner assessing the growth of a city. Ten years ago, the city's population was 249,583. Its current populatio
solmaris [256]
318,270-249,583=68,687\\\\\begin{array}{ccc}249,583&-&100\%\\68,687&-&p\%\end{array}\\\\cross\ multiply\\\\249,583p=68,687\cdot100\ \ \ \ /:249,583\\\\p\approx27.52\\\\Answer:\\The\ city\ grown\ over\ the\ past\ ten\ years\ at\ 27.52\%.
4 0
3 years ago
Read 2 more answers
Using the formula r = d/t where d is the distance in miles, r is the rate, and t is the time in hours, at which rate must you tr
mote1985 [20]
75 is the answer for the rate
6 0
3 years ago
Read 2 more answers
Suppose you do a favor for 3 people then you ask each of them to do a favor for 3 more people
Ilya [14]
Well Wouldn’t that be 6? Because you asked 3 people to do a favor then you,ask each of them to do a favor for 3 more people easy 3+3=6.Hope this helps!
5 0
3 years ago
Read 2 more answers
A crew must repave a road that is 3/8 miles long. They can repave 1/48 miles per hour. How long will it take the crew to repave
Anika [276]

Answer:

Step-by-step explanation:

3/8 miles long, 1/48 miles per hour

3/8 and 1/48 can have a common denominator, so you make 3/8 into 18/48 by multiplying both the numerator and denmoinator by 6.

18/48 miles long

1/48 per hour

divide: 18/48 divided by 1/48, which turns into 18/48 x 48/1 which equals 18

18 hours

4 0
3 years ago
Is -(12/-17) equal to 12/17
maria [59]
Yes <span>-(12/-17) is equal to 12/17

I hope this helps. 

Have a awesome day. :)</span>
3 0
3 years ago
Other questions:
  • Find the circumferences of both circles to the nearest hundredth.
    8·1 answer
  • Find the range of the given data set.<br> 5/8, 3/4, 1 1/8, 1 1/4
    11·2 answers
  • My homework is basic geometry, can someone please help?
    12·1 answer
  • Guys i need helpp plss​
    9·1 answer
  • Geometry Help, you have to know what the angle is to solve the x​
    12·1 answer
  • Which expression is equivalent to
    10·1 answer
  • Anybody know how to do these? i need help pls contact me
    12·2 answers
  • Is the sequence 4, 8, 12, 16, 20, ... a geometric sequence? If it is a geometric sequence, what is the common ratio?
    15·1 answer
  • 2 tickets cost $14. How many tickets can you buy with $63?
    10·2 answers
  • What is the solution to this equation?<br> X- 17 = -5
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!