According to the Rational Root Theorem, which statement about f(x)=8x3−4x2+6x+3 is true?
Group of answer choices
Any rational root of f(x) is a multiple of 8 divided by a multiple of 3.
Any rational root of f(x) is a factor of 8 divided by a factor of 3.
Any rational root of f(x) is a multiple of 3 divided by a multiple of 8.
Any rational root of f(x) is a factor of 3 divided by a factor of 8.
The rational root theorem is used to determine the possible roots of a function.
The true statement is: (d) Any rational root of f(x) is a factor of 3 divided by a factor of 8.
The function is given as:
[tex]\mathbf{f(x) = 8x^3 - 4x^2 + 6x + 3}[/tex]
The possible roots of a function
[tex]\mathbf{f(x) = qx^n + ax^{n-1} +.....+ p}[/tex]
are
[tex]\mathbf{Roots = \pm\frac{Factors\ of\ p}{Factors\ of\ q}}[/tex]
By comparison: p = 3 and q = 8
So, we have:
[tex]\mathbf{Roots = \pm\frac{Factors\ of\ 3}{Factors\ of\ 8}}[/tex]
Hence, the true option is (d) Any rational root of f(x) is a factor of 3 divided by a factor of 8.
Read more about rational root theorem at:
https://brainly.com/question/9353378
What is 6 tens = ? Ones
A class of 40 students took a test 20 students had an average score of 65. the other students had an average score of 52. what is the average score of the whole class?
At a health club, 28% of the members are men, the rest are women. If the average man is 33 years old, and the average woman is 38 years old, what is the average age of all the members?
Answer:
One: 58.5
Two 36.6
Step-by-step explanation:
One
20 students * 65 = 1300 This is the total score of all 20 students. They may not all get 65, but 1300 is what their average total is.
20 students * 52 = 1040
The total score of all 40 students was 1300 + 1040 = 2340
The average for the entire class was 2340 / 40 = 58.5
Two
This question is done almost the same way.
Supposes the total number of members is 100. That means that 28 of them are men
28 * 33 = 924 This is the total age for the men
100 - 28 = 72 Out of 100, 72 of the people there are women.
72 * 38 = 2736
The total number of years of all of the members is
924 + 2736 = 3660
The average age of all members is 3660/100 = 36.6
Why did I pick 100 as the total membership? It is because a percentage is number out of 100. Am I allowed to invent things like that? Sure. I'm just using the definition of a percentage.
The average will make it come out the same.
Correct answer gets brainiest
Answer:
[tex]x + 2x + a + 90 \degree = 360\degree \\ x + 2x + 132\degree + 90 \degree = 360\degree \\ 3x + 222\degree = 360\degree \\ 3x = 360\degree - 222\degree \\ 3x = 138\degree \\ x = \frac{138\degree}{3} \\ \boxed{ x = 46\degree}[/tex]
Ai chỉ cách làm cho mk vs ạ
(two digit number with the sum of the digits being 8)
Answer:
The two digit numbers having sum equal to 8 are: 17,26,35,44,53,62,71,80.
Step-by-step explanation:
1. find the measure of each angle
Step-by-step explanation:
adding both equations together makes the straight line that is QRS. straight lines are 180
you should picture a windshield wiper going side to side and you're trying to see how much farther it has to move until it straightens out at the bottom
(3x-5) + (10x-7) = 180
what is the total surface area of the prism in square inches
Answer:
Surface area of a square prism = 4 × (s × h) = 4sh, where, s is the length of the side of the square and h is the height of the square prism.
MATH WEEK 5 DISCUSSION
Help somone please and thank you
Answer:
120 students
Step-by-step explanation:
4/7×210=120 students
Carson has a smart phone data plan that costs $35 per month that includes 10 GB of data, but will charge an extra $15 per GB over the included amount. How much would Carson have to pay in a month where he used 3 GB over the limit? How much would Carson have to pay in a month where he used went over by x GB?
Answer:
3 GB over: $80 x GB over: $35+$15x
Step-by-step explanation:
3 GB over is 3 times 15 plus 35, which equals 80, x GB over is x times 15 plus 35. Boom, answer.
Your welcome!
Answer:
$80
Step-by-step explanation:
f(x)=[tex]x^{2}[/tex]-6x+9
Answer:
x equals three by multiplicity two
Step-by-step explanation:
that's the correct answer hope it's help.
For functions f(x) = x + 2 and g(x) = 8x2 - 2x + 4,
find the following.
(Simplify your answers completely.)
(a) (fºg)(x) =
(b) (f. g)(-1) =
Answer:
Sorry im not ood at math so i cant help
Step-by-step explanation:
Triangle ABC, with A = (-2,3) B = (-4,1) and C = (-3,5), is rotated 90- clockwise about the origin to make Triangle A'B'C'. What are the y-coordinates of B'?
Answer:
Step-by-step explanation:
-1
_
Write 0.34 as a fraction using the steps below.
Answer:
31/90
Step-by-step explanation:
3.1 x 10 = 31 which is the numerator
9x10 = 90 which would be the denominator
Answer:
It would be 17/50 hope that helps
Fatima drove 100 miles in 4 hours. What is the constant of proportionality for 100 miles in 4 hours and 200 miles in 8 hours? Please answer ASAP.
Answer:
25
Step-by-step explanation:
4 hours goes into 100 miles 25 times.
which one is this a b c d e the thing on the side dosent matter
Answer:
21.5m²
Step-by-step explanation:
Area for a square: LxW = A
10x10=100m²
Area for a circle: pi r² = A
pi(5)²=78.5m²
Find the difference:
100m²-78.5m² = 21.5m²
Your friend is absent from class and asks you to explain what a function is how would you explain
Answer: A function is the equation used to solve a variable, usually uses X and Y.
i.e. Y = 23x -9
How to type a line above the number 6 on chromebook.
Answer:
you put in the number 6 but you leave room uptop so enter and then put 6 for the----- so in other words
-----
6
Which is the label of the ordered pair (1,3)?
1. V
2.W
3.X
4. Y
5. Z
Answer:
dude. its 4.Y
Convert 5 over 9 into a decimal
Answer: 0.556
Step-by-step explanation:
Answer:
5/9 as a decimal is .5 repeating. I hope this helps.
Round 171,936 to the nearest ten thousand
Answer:
Rounding = 170,000
Your answer is → 170,000
For the simple linear equation below, what is the y-coordinate of the ordered pair when the x-coordinate is -15? y=4/5x Enter your answer in the box.(-15, )
Answer:
The answer is -12
Step-by-step explanation:
solve pls brainliest
Answer: (a.) +3 meters each second (b.) +80 Celsius
Step-by-step explanation:
(a.) 18/6 =+3 meters each (b.) 4*20=+80 Celsius
(b.) 4*every hour=
How many pints of blood does a person have for every 14 lbs of body weight?
Answer:
1 pint(of blood) for every 14 lbs of weight
Step-by-step explanation:
Answer:
One pint.
Step-by-step explanation:
A person has approximately one pint of blood for every 14 pounds of body weight.
Hope this helps! :D
530÷34= ? Write answer as a whole number and remainder.
Answer:
15 with a remainder of 20
Step-by-step explanation:
hope it helps :)
Answer:
168 and the remainder is 7
Step-by-step explanation:
if is wrong i'm sorry
solution needed step by step
Answer:
I am doinnnng ok just wait
Answer:
Points again!!!
Step-by-step explanation:
Hey thanks
Need help with number 10
Answer:
d
Step-by-step explanation:
the answer is d, tan = (cateto opuesto / cateto adyascente)
Hopfuly someone will help me this time!
Answer:
B
Step-by-step explanation:
1) Eight times the difference between a number and seven, is the same as when five times
the number is increased by four. Find the number.
Tip: Go step-by-step
Let the number = x
Eight times the difference between a number and seven.. = 8(x-7)
is the same as... =
the number increased by 4.. x+4
8(x-7)=x+4
Distribute
8x-56=x+4
Subtract x from both sides
7x-56=4
Add 56 to both sides
7x=60
x=60/7