According to the rational root theorem what are all potential rational roots of F(x)=9x^4-2x^2-3x+4

Answers

Answer 1

Answer:

The answer is

[tex]( + - )(1)( \frac{1}{3} )( \frac{1}{9} )(2)( \frac{2}{3} )( \frac{2}{9} )(4)( \frac{4}{3} )( \frac{4}{9} )[/tex]

Explanation:

Rational root theorem, also called rational root test, in algebra, theorem that for a polynomial equation in one variable with integer coefficients to have a solution (root) that is a rational number, the leading coefficient (the coefficient of the highest power) must be divisible by the denominator of the fraction and

and the constant term (the one without a variable) must be divisible by the numerator.

In f(x), the ratio is

[tex] \frac{4}{9} [/tex]

because 4 is the constant and 9 is leading term

So our factors are

[tex] \frac{4}{9} = \frac{ + - (1)(2)(4)}{ + - (1)(3)(9)} [/tex]

If


Related Questions

please answer this question and attach a photo of your solution ​

Answers

Answer:

Step-by-step explanation:

[tex]a^{m}*a^{n}=a^{m+n}[/tex]  .

Use distributive property.

[tex]\frac{1}{2}ab*(3a^{2}-5b^{2}a+10a^{2}b)=\frac{1}{2}ab*3a^{2}-\frac{1}{2}ab*5b^{2}a+\frac{1}{2}ab*10a^{2}b\\\\\\[/tex]

                                         [tex]=\frac{3}{2}a^{1+2}b -\frac{5}{2}a^{1+1}*b^{1+2}+5*a^{1+2}*b^{1+1}\\\\\\=\frac{3}{2}a^{3}b-\frac{5}{2}a^{2}b^{3}+5a^{3}b^{2}[/tex]

.
For the following, represent the sample space in set notation and state how many outcomes are
possible.
1. A bag contains 3 blue marbles, 2 red marbles, and 4 green marbles. You draw one marble.

Answers

Answer:

Step-by-step explanation:

the sample space is the set that contain all possible outcomes

B-blue, R-red, G-green

sample space is {B,B,B,R,R,G,G,G,G}

so there are 9 possible outcomes

please help me asap
(geometry)

Answers

Answer:

x is ten

Step-by-step explanation:

9 times ten is 90, then minus 40 is 50, and 3 times ten is 30, plus 20 is 50

What is the area of polygon

Answers

Answer: 39 units squared
You can split it into two sections the rectangle and triangle.
The rectangle is 5 units by 6 units and since the area of a rectangle is b*h; it is 5*6=30 units squared

The triangle isn’t a right triangle but you can still find the base and height, the base is 6 units and the height is 3 units. The area of a triangle is b*h/2; so it is 6*3/2= 9 units squared

Add the two areas together: 9+30= 39 untis squared

find the common difference in the linear sequence sequence 69,53,47,30​

Answers

Initial request is certain

A circle has a radius of 3. An arc in this circle has a central angle of 20°. What is the length of the arc? Either enter an exact answer in terms of or use 3.14 for 1 and enter your answer as a decimal.​

Answers

Answer:

[tex]\frac{\pi }{3}[/tex]

[tex]2 * \pi * 3 * \frac{20}{360}[/tex]

120[tex]\pi[/tex]/360 = [tex]\frac{\pi }{3}[/tex]

Step-by-step explanation:

Which set of ordered pairs could be generated by an exponential function?
(negative 1, negative one-half), (0, 0), (1, one-half), (2, 1)
(–1, –1), (0, 0), (1, 1), (2, 8)
(negative 1, one-half), (0, 1), (1, 2), (2, 4)
(–1, 1), (0, 0), (1, 1), (2, 4)

Answers

Answer:

(–1, –1), (0, 0), (1, 1), (2, 8)   (y = x^2)

(–1, 1), (0, 0), (1, 1), (2, 4)   (y = x^3)

Answer:

C

Step-by-step explanation:

Please help with the question

Answers

The answer to your question is A

26)
A pile of bricks has 93 bricks in the first row, 89 bricks in the second row, 85 bricks in the third row, and so on.
How many bricks are there in the 12th row?
OA) 49 bricks
OB) 69 bricks

Answers

Answer:

49 bricks

Step-by-step explanation:

because it's getting smaller my 4

Answer: 49

Explanation: it’s getting smaller by 4, they already gave us the first three, so now we multiply 4 by 9 and get 36 ( I multiplied 4 by 9 since that’s how many numbers were left to get to 12 from 3) and subtracted 36 by 85 then got 49. Hope this helps ^_^

The temperature fell from 0 Degrees Fahrenheit to 15 and one-half Degrees Fahrenheit below 0 in 5 and three-fourths hours. Wen tried to find the change in temperature per hour. Her work is shown below.

Answers

Answer:

Step-by-step explanation:

I don't see Wen's work, but I'll show you mine!

We can create a set of coordinates for each of these sets of data, where x is the time in hours, and y is the number of degrees in Fahrenheit.

At time 0, the temp is 0: (0, 0)

5.75 hours late, the temp is -15.5: (5.75, -15.5)

We can find the change in temp per hour by using the slope formula, since slope is, after all, the rate at which something is changing.

[tex]m=\frac{-15.5-0}{5.75-0}=\frac{-15.5}{5.75}=-2.7[/tex] That is rounded to the tenths place from -2.695652174 so you can round it however you need. What the interpretation of this number is is that temp is falling at a rate of 2.7 degrees F per hour.

Answer:

- 2 16/23 degrees / hr

Step-by-step explanation:

15 1/2 = 31/2

5 3/4 = 23/4

31/2 ÷ 23/4 =

31/2 ×  4/23 =  124/46 = 62/23 = 2 16/23

Out of 100 students in a school, 42 take English, 35 take Chinese and 30 take French. 20 take none of the subjects, 9 take French and English, 10 take French and Chinese, 11 take English and Chinese. Find the number of students who take 3 subjects?​

Answers

Answer:

1 student

Step-by-step explanation:

From the Vann diagram attached below,

Let x represent the number of students who took 3 subjects.

Therefore,

100 = (42-9-11-x)+11+x+9+10+(35-10-11-x)+(30-9-10-x)+20

100 = 22-x+11+x+9+10+14-x+11-x+20

100 = 97-2x

2x = 100-97

2x = 3

x = 3/2.

x = 1.5

x = 1 student

What value of x will make the equation true?

(Square Root of 5) (square root of 5)=x

Answers

Answer:

(2.236067978)(2.236067978)

=5 ans.

If this is incorrect forgive me

I hope this will help you

stay safe

Which expression is equivalent to ((2x²) (3x) (4x)??
A.24x7
B.48x?
C.9677
D.576x12

Answers

Answer:

24x^4

Step-by-step explanation:

((2x²) (3x) (4x)

Add the exponents when multiplying

2*3*4 x^(2+1+1)

24x^4

Anybody knows the answers to the monomial functions ?

Answers

Step-by-step explanation:

A monomial function is an expression with only one term. ... For example, a polynomial function is the sum of many monomial functions; If there's only one term in a polynomial function, then it is a monomial function [2]. Monomial functions can take many forms: A monomial (a number by itself is a “monomial”).

Your local clothing
store is having a sale
of 50% off on all
purchases. You
bought 2 shirts for $10
each and 1 pair of
pants for $15. What
was your final total
after the discount?

Answers

10x2=20

20+15=35

35÷2=17.5

help!! need to find the area

Answers

Answer:

10*5 +2(2*2)

50+8

58

Step-by-step explanation:

Answer:

58 units

Step-by-step explanation:

Bob placed a 17- foot ramp against the side of a house so the ramp rested on a ledge that is 8 feet above the ground. How far was the base of the ramp from the house?

Answers

15ft

Hope this helps! Please make me the brainliest, it’s not necessary but appreciated, I put a lot of effort and research into my answers. Have a good day, stay safe and stay healthy.

please answer all the questions above.

Answers

Answer:

hope it was helpful!! You are welcome to ask any question

Answer:

Step-by-step explanation:

1) 7 - ( 3+4) = 7 + [- (3+ 4)] =  7 + (-3) + (-4)    

(-) is distributed to 3 and 4

A

2) C

I (-3) -  4 I

3) 5 + 3 = 8 miles

B

Answer two questions about Equations A and B:
A. 3(x+2) = 18
B.
r + 2 = 6
1) How can we get Equation B from Equation A?

Answers

Step-by-step explanation:

3x+6=18

3x=18-6

3x=12

x=4

if a(b+c)=d and a, b, c and d are all integer, then which of the following must be true?
A. ab+c=d
B. ab+ac=d
C. a(b+c)>10
D. ab

Answers

Answer:

B. ab+ac=d

Step-by-step explanation:

Answer:

ab + ac = d

Step-by-step explanation:

a(b+c)=d

Distribute the a

ab + ac = d

Find P(blue and even).



A. 3/5
B. 1/10
c. 7/10

Answers

Answer: A. 3/5

Step-by-step explanation:

Assuming that they are colorful blocks,

There are in total 10 blocksThere are in total 2 blue blocksThere are in total 5 even blocks

Blue blocks: 1, 2

Even blocks: 2, 4, 6, 8, 10

The net total of blue and even blocks:

2 + 5 = 7 blocks

However, as we can see from above, the number [2] is repeated in both cases, thus we shall subtract one of them from the total number.

7 - 1 = 6 blocks

We analyzed at the beginning where there are 10 blocks in total. Then, utilizing the probability formula below:

6/10 = 3/5

Hope this helps!! :)

Please let me know if you have any questions

18. Mario rented a raft from River Rafter's Inc. He paid $100 to rent and
$25 for every hour. Carlos rented a raft from Oscar's Outdoor Shop. He
paid $50 to rent and $35 per hour. For what number of hours will both
rafting companies charge the same amount?
0
4
5
010

Answers

Answer:

5 hours

Step-by-step explanation:

The charge will be the same when what they pay is equal

100 + 25*number of hours = 50 +35 * number of hours

let number of hours =h

100 + 25h = 50 + 35h, subtract 25 h, and subtract 50 from both sides

100-50 = 35h -25h, combine like terms

50 = 10h , divide by 10 both sides

5 = h , in 5 hours the companies will charge the same amount

Now graph the points C(2, 8) and D(8, 7). (Try entering the coordinates through the input window.) Measure the lengths of and . Do the points C and D lie on the circle? How do you know? Take a screenshot showing the points and their distances from the center, and paste it below.

Answers

Answer:

this was from plato

Step-by-step explanation:

Answer:

Any point on the circle must be at a distance from the center equal to the length of the circle’s radius. In this example, the radius is 3.61 units, AC = 4.24, and AD = 3.61. Point D, which lies on the circle, has the same distance from the center as the length of the radius. Point C, which lies outside the circle, is at a different distance from the center than the length of the radius.

Mrs. Fox made $176.50 in three hours. How much did she make in one hour?

Answers

Answer:

58.83

Step-by-step explanation:

176.50  ÷ 3 = 58.83333

round down

Answer:

In explanation.

Step-by-step explanation:

If we know that Mrs.Fox makes a consitant rate .

meaning if you divide 176.50 by 3

you get 58.833333 but since money can only go up to two decimal places,

we round and get 58.83 dollars per hour.

What is the product of the polynomials below?
(5x2 - x-3)(2x+6)

Answers

[tex]\bf \rightarrow \:(5 {x}^{2} - x - 3) \: \: (2x + 6) \\ \\ \bf \small \rightarrow \:10 {x}^{3} - 2 {x}^{2} - 6x + 30 {x}^{2} - 6x - 18 \\ \\ \bf \rightarrow \:10 {x}^{3} + 28 {x}^{2} - 12x - 18[/tex]

Option D is the correct answer

option D is the right ans. feel free to clarify

The range of a sequence consists of________.

A. functions
B. terms in the sequences
C. negative numbers
D. natural numbers

Answers

Answer:

B. terms in sequences

Step-by-step explanation:

When graphed, a sequence is a scatter plot, a series of dots. (Do not connect the dots). The sum of the terms of a sequence is called a series.

OPTION B is correct.

The range of a sequence consists of terms in the sequences.

We have a statement the range of a sequence consists of.

We have to find which of the given options is a constituent of range of sequence.

What is a sequence?

A sequence is an arrangement of objects in a particular order. They are of two types - finite and infinite.

Range of a sequence is the set of elements that can be used to plot it graphically. These elements are in general the y - coordinate of the point, with the x coordinate being x = n = 1, 2, 3,4 .... and so on. An example of a range of sequence is Set S = {2, 1, 5, 7, 8}.

Hence, the range of sequence consists of terms of sequence.

To understand more about sequence, visit the link below -

brainly.com/question/21961097

#SPJ2

what is the measure of m?

Answers

Answer:

[tex]n^{2} +18^{2} =x^{2}[/tex]

[tex]6^{2} +x^{2} =m^{2}[/tex]

[tex]6^{2} +18^{2} +n^{2} =m^{2}[/tex]

[tex]m^{2} =n^{2} +360[/tex]

[tex]n^{2} +36=m^{2}[/tex]

[tex]m=15[/tex]

OAmalOHopeO

What’s the rate of change in this question y=0.860x+3.302

Answers

Answer:

The equation is in a linear form, which means its in y=mx + b

M is the slope.

Slope is a fancy word for rate of change.

Therefore, the slope/rate of change is...

.860

Q 14. Two friends Tina and Reeta simplified two different expressions during the revision
hour and explained toeach other their simplifications,
V2
Tina explains simplification of Torta by rationalising the denominator and Reeta
explains simplifications of (72 + V3) (12 - 13) by using identity,
i)
Vz
By rationalising the denominator of
Tina got
VSV
vz
a)
c) V5 – 13
b) V7(13-va)
d)
Vic+V5)
2
ii)
Reeta apply
a) (a+b)
identity to simplify(V2 + 13) (12 – 73).
b) (a-b)?
c) (x+a) (x+b) d) (a+b)(a-b)
iii)
(12 + V3) (72 - 73) =
a) 5 b) (74 + 6
c) 1
d) -1
iv)
All the rational and irrational numbers make up the collection of
numbers.
a) Whole numbers
b) Integers
b) c) Real Numbers
d) Irrational Numbers

Answers

I really don’t know the answer I’m sorry

Instructions: Find the missing side lengths. Leave your answers as radicals in simplest
form.

Answers

Answer:

x = 40

y= 20

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp / hyp

sin 60 = 20 sqrt(3)/ x

x sin 60 = 20 sqrt(3)

x = 20 sqrt(3)/ sin 60

x = 20 sqrt(3)/ sqrt(3)/2

x = 20 *2

x = 40

tan theta = opp /adj

tan 60 = 20 sqrt(3)/y

y = 20 sqrt(3)/ tan 60

y = 20 sqrt(3) / sqrt(3)

y = 20

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