answer.
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
docker41
2 months ago
10

According to the Rational Root Theorem, what are all the potential rational roots of f(x) = 9x4 – 2x2 – 3x + 4?

Mathematics
2 answers:
Zina [12.3K]2 months ago
6 0
The correct option is the first one - refer to the image for the solution:

Inessa [12.5K]2 months ago
4 0

Answer:

Choice 1.

Explanation in detail:

According to the rational root theorem, the possible rational roots of a function f(x) are identified as

roots=\dfrac{p}{q}

where p refers to a factor of the constant term and q indicates a factor of the leading coefficient.

The function provided is

f(x)=9x^4-2x^2-3x+4

In this case, the leading coefficient is 9, with factors of 9 being ±1, ±3, ±9.

The constant term is 4, and its factors are ±1, ±2, ±4.

The complete set of potential rational roots for f(x) includes

\pm \dfrac{1}{9},\pm \dfrac{2}{9},\pm \dfrac{4}{9},\pm \dfrac{1}{3},\pm \dfrac{2}{3},\pm \dfrac{4}{3},\pm 1,\pm 2,\pm 4

Hence, the correct choice is option 1.

You might be interested in
On April 1, 1986, Casey deposited $1150 into a savings account paying 9.6% interest, compounded quarterly. If he hasn't made any
zzz [12365]
According to the rule of 72,
72/rate=time
72÷9.6=7.5 years

An alternative method for resolution using the main formula
2300=1150(1+0.096/4)^4t
Isolate t
t=((log(2,300÷1,150)÷log(1+(0.096÷4))÷4))=7.31 years

I hope this is helpful:-)
7 0
2 months ago
Read 2 more answers
XY= 2x +1, YZ= 6x, and XZ=81
tester [12383]
 x = 27 + 3 √ 129/ 4, 27 − 3 √ 129/ 4

Please note: the entire equation mentioned is divided by 4, not only the last term. 

 x approximates to 15.26836251, − 1.76836251

That concludes my response. I hope this is helpful. You will still need to work on finding y and z, which can be quite challenging:)
8 0
2 months ago
What are the coordinates of the circumcenter of this triangle? Enter your answer in the boxes.
PIT_PIT [12445]
The circumcenter of the triangle is at the coordinates (2,1). To find this, we can outline the triangle based on the coordinates of points A (-1,5), B (-1,-3), and C (5,-3). Utilizing the distance formula helps us confirm that the triangle satisfies Pythagoras' theorem, hence it is a right triangle. In a right triangle, the circumcenter is located at the midpoint of the hypotenuse, which is determined to be (2,1).
7 0
1 month ago
Kendra is choosing bouquets of flowers for table centerpieces. She decides to buy 40 bouquets for $120 because she thinks that p
babunello [11817]

Answer:

Find below:

Step-by-step explanation:

To determine this, we will either calculate the total cost of acquiring 40 bouquets at $2.50 each or find the single bouquet’s cost at $120.

Cost of one in pack of 40 priced at $120.

120 divided by 40 equals $3

Now, we notice that $3>$2.50

This indicates Kendra has made an error by purchasing the 40 bouquet pack at $120

Hope this helps.

Good Luck

7 0
2 months ago
Other questions:
  • Determine whether each of the following functions is a solution of Laplace's equation uxx + uyy = 0. (Select all that apply.) u
    5·1 answer
  • Write 87 tens and 2 ones as a base ten number
    11·1 answer
  • The gestation period of rhinos ​(487 ​days) is​ _____ percent longer than the gestation period of bears ​(220 ​days).
    5·1 answer
  • Find the midpoint between each pair of points.<br> (-1,-5) and (-5,9)
    8·1 answer
  • What number is between 0.40 and 0.47 it has to be a fraction
    7·2 answers
  • The birth weights for twins are normally distributed with a mean of 2353 grams and a standard deviation of 647 grams. use​ z-sco
    13·2 answers
  • In a single line of people waiting to purchase tickets for a movie, there are currently 10 people behind Shandra. If 3 of the pe
    15·1 answer
  • Cam wants to find 509-106. Which steps can he use to find the difference
    14·1 answer
  • Which graph could represent a car that begins by increasing its speed, then travels at a constant speed, and then decreases its
    15·2 answers
  • A 7 foot by 3 foot doorway is to be cut into the trapezoid shaped wall. What is the area of the wall without the doorway
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!