What are the possible rational roots of the polynomial equation?

0=2x9−3x7+11x+10

Answers

Answer 1

Answer:

+-1, +-2,+-5, +-10

Step-by-step explanation:

you first find all the numbers that can go into the constant which is 10, so negative and positive 1 can go into 10, negative and positive 2 can go into 10 etc.

Answer 2

The possible rational roots of the polynomial equation

[tex]1,-1} , +\frac{1}{2} , -\frac{1}{2} , +2,-2, +5,-5, +\frac{5}{2} ,-\frac{5}{2} ,+10,-10[/tex]

Given :

The polynomial equation is

[tex]2x^{9}-3x^{7}+11x+10=0[/tex]

To find out possible rational roots, we use rational root theorem

Rational root of the form

[tex]\frac{p}{q}[/tex] where p is the constant and q is the leading coefficient

p=10  and q=2

Lets write all the factors of 10  and 2

Factors of 10 are 1,2,5,10

factor of 2 are 1,2

Rational root of the form

[tex]+- factors of \frac{p}{q} =+-\frac{1,2,5,10}{1,2}[/tex]

We consider both positive and negative factors. Ignore the repeated roots

So possible rational roots are

[tex]1,-1} , +\frac{1}{2} , -\frac{1}{2} , +2,-2, +5,-5, +\frac{5}{2} ,-\frac{5}{2} ,+10,-10[/tex]

Learn more :  brainly.com/question/13211306


Related Questions

The height of a golf ball hit in the air is modeled by the equation ℎ()=−162 + 48, where ℎ() represents
the height, in feet, and represents the number of seconds that have passed since the ball was hit.
Complete the statement about the function for ℎ(2)=32
If ℎ(2)=32 , then the ball reached a height of _________ feet after _________ seconds.

Answers

Answer:

4 5

Step-by-step explanation:

2/3 divided by 2/5

lesson 4 module 2
grade 6
page s.20

Answers

Answer:

1 2/5

Step-by-step explanation:

Flip 2/5 to be 5/2

Multiply.

2/3 ⋅ 2/5 = 10/6

Simplify.

1 2/5

Hope I helped :)

Please consider Brainliest :)

Write the sentence as an inequality.

A number is less than 6 and greater than 2

Answers

Answer:

6 > x > 2

Step-by-step explanation:

This could be wrong, but if the number is less than six, and greater than two, itd look like that!

Write the slope intercept form equation of the line that passes through the point (4,3) and is parallel to y=5/4x+1

Answers

I hope this helps:)

what is the answer? pls help
i'm not sure

Answers

Answer:

I don't think It is a line.

Step-by-step explanation:

is the combined savings enough for a charity donation?why?​

Answers

Answer:

Combined savings are enough for charity because for charity since it is helping people, any bit of money you have can be enough for charity even if it is $1.00. Anything you have is enough, as long as you give.  "Each of you should give what you have decided in your heart to give, not reluctantly or under compulsion, for God loves a cheerful giver" 2 corinthians 9:7.

What is the product of the GCF and LCM of 16 and 24?

Answers

Answer:

48

Step-by-step explanation:

16= 2×2×2×2=2^4

(I just put this here because I needed 20 characters so yeah...)

The debate team participated in 18 debate it won twice as often as it lost how many times did it win

Answers

it won 12 times. 18 divided by 3 is 6, add six to six and you get 12 :)

I’ll give Brainly! Jim has ten more dollars than Gail. Together they have at most twenty-seven dollars.

A. Determine the possible amounts of money Gail could have.
B. Sketch the solution on a number line.

Answers

Answer:

see below

Step-by-step explanation:

Let g= amount that gail has

j = g+10

j+g ≤ 27

Substitute  the first equation into the inequality

g+g+10 ≤ 27

2g + 10 ≤ 27

Subtract 10 from each side

2g≤ 17

Divide by 2

g≤ 8.5

Answer:

Let g= amount that gail has

j = g+10

j+g ≤ 27

Substitute  the first equation into the inequality

g+g+10 ≤ 27

2g + 10 ≤ 27

Subtract 10 from each side

2g≤ 17

Divide by 2

g≤ 8.5

Step-by-step explanation:

the function f(x)=-4x+9 has a range given by {1, -3, -7, -15, -19, -23} select the domain values of the function from the list. complete the explanation for how you arrived at your answer. btw this isn’t actually a test it’s assigned as hw but please help

Answers

Let's see what to do buddy....

_________________________________

Remember from now on ,

rang = output

and also Remember ,

output = y = f(x)

So : range = f(x)

So we must put the range number instead of f(x) and solve for x.

Let's do it...

=======================================

[tex]f(x) = 1[/tex]

[tex] - 4x + 9 = 1[/tex]

Both sides minus 9

[tex] - 4x = 1 - 9[/tex]

[tex] - 4x = - 8[/tex]

Negatives simplified

[tex]4x = 8[/tex]

Divided both sides by 4

[tex]x = \frac{8}{4} \\ [/tex]

[tex]x = 2[/tex]

_________________________________

[tex]f(x) = - 3[/tex]

[tex] - 4x + 9 = - 3[/tex]

[tex] - 4x = - 3 - 9[/tex]

[tex] - 4x = - 12[/tex]

[tex]4x = 12[/tex]

[tex]x = \frac{12}{4} \\ [/tex]

[tex]x = 3[/tex]

_________________________________

[tex]f(x) = - 7[/tex]

[tex] - 4x + 9 = - 7[/tex]

[tex] - 4x = - 7 - 9[/tex]

[tex] - 4x = - 16[/tex]

[tex]4x = 16[/tex]

[tex]x = \frac{16}{4} \\ [/tex]

[tex]x = 4[/tex]

_________________________________

[tex]f(x) = - 15[/tex]

[tex] - 4x + 9 = - 15[/tex]

[tex] - 4x = - 15 - 9[/tex]

[tex] - 4x = - 24[/tex]

[tex]4x = 24[/tex]

[tex]x = \frac{24}{4} \\ [/tex]

[tex]x = 6[/tex]

_________________________________

[tex]f(x) = - 19[/tex]

[tex] - 4x + 9 = - 19[/tex]

[tex] - 4x = - 19 - 9[/tex]

[tex] - 4x = - 28[/tex]

[tex]4x = 28[/tex]

[tex]x = \frac{28}{4} \\ [/tex]

[tex]x = 7[/tex]

_________________________________

[tex]f(x) = - 23[/tex]

[tex] - 4x + 9 = - 23[/tex]

[tex] - 4x = - 23 - 9[/tex]

[tex] - 4x = - 32[/tex]

[tex]4x = 32[/tex]

[tex]x = \frac{32}{4} \\ [/tex]

[tex]x = 8[/tex]

=======================================

So the domain values are :

x = { 2 , 3 , 4 , 6 , 7 , 8 }

_________________________________

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

Find the axis of symmetry for this parabola:
y = -4x2 - 8x - 7

Answers

Answer:

Step-by-step explanation:

If we want to find the axis of symmetry of the parabola of [tex]y=-4x^{2} -8x-7,[/tex] we would use the formula of [tex]-\frac{b}{2(a)}[/tex] to find it.

b=-8

a=-4

so the formula would look like this [tex]-\frac{-8}{2(-4)}[/tex], simplify it >>>[tex]-\frac{-8}{-8}[/tex] which is -1

So -1 would be the axis of symmetry

*It would mean a lot to me if you guys gave this post a "THANKS"

Please explain how to find 40 x 50 using mental math... xD

Answers

Answer:

Basically, what you do is multiply 4 times 5 ( this only applies when the numbers are in tens so like 10,20,30,40, etc.)

then after this you add the zeros of both numbers.

Step-by-step explanation:

so, this would be 2000

please help me ill do anything

Answers

Answer:

Go in a diff website so you can get a proper answer I think if you look up related brainly I hope this helps.

Step-by-step explanation:

Can someone help me with this?

Answers

Answer:

Option 2 4y + y = 45

Step-by-step explanation:

Help help help!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

I think the starting point is in quadrant Q, and the finishing point is in quadrant S. I don't really understand part B, sorry...

Someone please help me with this one

Answers

Answer:

its 5

Step-by-step explanation:

got it right on quiz

2

If 2x – 3 + 3x = – 28, what is the value of x?


4


-1


-5


5

Answers

Answer:

Value of X is 5

Step by step explanation:-

2x – 3 + 3x = – 28

=> 5x = –28 + 3

=> 5x = –25

=> x = –25/5

=> x = –5

What is the value of x?

Answers

Answer:

The answer is 30 degrees

Step-by-step explanation:

the total of all three angles in a triangle add up to 180.

50+100= 150

so,

180-150= 30

x= 30 degrees

hope this helps!!

Answer:

answer is B 30

Step-by-step explanation:

180 is the total degrees of the whole thing subtract both angels they already give you (100+50) that leaves you with 30

the area of rectangle is 40 sq. cm. Find its length when it is 3 more than its width​

Answers

Answer:

8 cm.

Step-by-step explanation:

Area = length × width

Use the variable w instead of width.

Area = w × (w+3)

Substitute 40 for the Area

40 = w × (w + 3)

Create a table to find the greatest common factors of 40.

1 × 40, not it because 40 is 39 units greater than 1, not 3

2 ×20, not it because 20 is 18 units greater than 2, not 3

4 × 10, not it because 10 is 6 units greater than 4, not 3

5 × 8, correct because 8 is 3 units greater than 5

Now substitute 5 for w to check your answer

40 = 5 × (5 +3 )

40 = 5 × 8

40 = 40

The answer is correct.

Hope this helps!!!

A rectangle is a quadrilateral with 4 sides. In a rectangle, one side is longer than the other. The longer side is called the width and the shorter side is called the length.

The length of the rectangle is 8cm.

The formula  for the area of a rectangle is given as :

Length x Width

From the question, the length is 3 more than its width​. We can represent this mathematically as:

L = W + 3

Area of the rectangle = 40 sq. cm

Inputting this into the formula

(W + 3) x W = 40

W² + 3W = 40

W² + 3W - 40 = 0

Factorise

W² +8W - 5W - 40 = 0

W(W + 8) - 5(W + 8) = 0

(W + 8)(W - 5) = 0

To find W

W + 8 = 0

W = - 8 or

W - 5 = 0

W = 5 cm

Therefore, the width is 5cm.

To find the length, L = W + 3

L = 5 + 3

L = 8 cm

Therefore, the length is 8 cm.

To learn more, visit the link below:

https://brainly.com/question/7448391

What is the length of the line?

Answers

Length of line is 6 unit

Answer:

square root of 37

Step-by-step explanation:

The floor area of a rectangular room is 162 square feet. The width of the room is 9 feet. What is the length?

Answers

to find the length u would do 162/9=18 because the formula for area is length times width

The length of the rectangular room will be;

⇒ 18 feet

What is mean by Rectangle?

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

Given that;

The area of a rectangular room = 162 square feet

The width of the room = 9 feet.

Now,

Since, we know that;

Area of Rectangle = Length x Width

Let The length of the room = y feet

Substitute all the given values, we get;

The area of a rectangular room = Length x Width

162 = y x 9

Divide by 9, we get;

y = 162 / 9

y = 18 feet.

Thus, The length of the rectangular room will be;

⇒ 18 feet

Learn more about the rectangle visit:

https://brainly.com/question/18019422

#SPJ2

A rotation maps point A(5, 4) to A’(–4, 5).

Which describes the rotation?
180° clockwise rotation
180° counterclockwise rotation
90° counterclockwise rotation
90° clockwise rotation

Answers

Answer:

90° counterclockwise rotation

Step-by-step explanation:

I just took the quiz and got it correct,

Hope this helps.

Answer:

answer above is correct

Step-by-step explanation:

Eric earns $7.50 per hour working at a grocery store. The total amount of money he
earns on a given day is a function of how many hours he works that day?

Answers

Answer: 37.50

Step-by-step explanation: If he works 5 hours A DAY and he earns $7.50 PER HOURS, you just need to multiple

7.50(5)= 37.50

What is the ratio 15 to 35 written as a fraction in lowest terms? 1/3 3/7 3/5 5/7

Answers

15/ 35 common factor is 5 so divide

The lowest term is 3/7.


Answer:

3/7

Step-by-step explanation:

15 divided by 5 = 3

35 divided by 5 = 7

hope this helps

What is the expression -7(3z + 5t - 3g) in simplest form?​

Answers

Answer:

-3z-5t+3g

Step-by-step explanation:

-7(3z+5t-3g)

= -7×3z +( -7×5t)( -7×-3g)

= -21z-35t+21g

divide all elements by 7

= -21÷7 -35÷7+21÷7

= -3z-5t+3g

Can someone answer this????????????????????????

Answers

Answer:

x=4

Step-by-step explanation:

A conjecture and the two-column proof used to prove the conjecture are shown.
Please help 46 points

Answers

Answer:well one

Step-by-step explanation:

two

Answer:

see below

Step-by-step explanation:

1. Linear Pair Postulate

This one is a little questionable, as some definitions of linear pairs require supplementary angles, whereas others only require the intersection of two lines. Check your book or notes for any given theorems regarding supplementary angles.

2. m<ABC+ m<CBD= 180 degrees

The definition of supplementary angles is that two angles are supplementary if their measures sum to 180 degrees.

3. Substitution Property of Equality

From previous step, the 90 degrees was in place of <CBD.

4. m<ABC=90 degrees

moved 90 degrees from left side to the right.

A=1/2(b1+b2) solve for b1

Answers

Given expression:

   

             A  = [tex]\frac{1}{2}(b_{1} + b_{2} )[/tex]

Solve for b₁;

  Solution:

This is a subject of the formula problem.

  Given expression:

               A  = [tex]\frac{1}{2}(b_{1} + b_{2} )[/tex]

First, multiply both sides by 2;

          2 x A  = 2 x [tex]\frac{1}{2}(b_{1} + b_{2} )[/tex]  

              2A  = b₁  + b₂

Then subtract b₂ from both sides;

           2A - b₂ = b₁ + b₂ - b₂

                 b₁ = 2A - b₂

The solution is   b₁ = 2A - b₂

Rebecca’s boss pays her time and a half for overtime work. If her regular wage is $13.50 per hour, what is her overtime rate?

Answers

Answer:

Rebecca's overtime rate is $20.25 per hour

Step-by-step explanation:

Rebecca is paid $13.50 per hour as her regular wage.

Her boss pays her that amount and a half for overtime work.

Half of her regular pay rate is 13.50/2= $6.75

Thus, her overtime rate is:

$13.50 + $6.75 = $20.25

Rebecca's overtime rate is $20.25 per hour

Use the figure below to solve for X.

Answers

x=45, we know 2x is 90 because it is a right angle, so we can divide 90 by two, to get 45. Now to substitute, 90+55+(45-10) = 180, therefore, this answer would make logical sense.

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