Which of the following represents the set of possible rational roots for the
polynomial shown below?
2x3 + 5x2 – 8x – 20 = 0

Which Of The Following Represents The Set Of Possible Rational Roots For Thepolynomial Shown Below?2x3

Answers

Answer 1
Answer: Choice D

The plus/minus of the following: 1/2, 1, 2, 5/2, 4, 5, 10, 20

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

Explanation:

Refer to the rational root theorem. To find the possible rational roots, we divide the factors of the last term 20 over the factors of the first coefficient 2.

Factors of 20 are: 1,2,4,5,10,20Factors of 2 are: 1,2

Dividing those said factors leads us to the list in choice D. We include the positive and negative versions of each result. For example, divide 10 over 2 to get 10/2 = 5 as one possible root (which leads to -5 as well).

A table like the one shown below might be handy to keep track of all the terms.

Which Of The Following Represents The Set Of Possible Rational Roots For Thepolynomial Shown Below?2x3
Answer 2

Answer:

D

Step-by-step explanation:

Simplify the given equation by dividing all terms by 2:

x³ + 2.5x² - 4x - 10 = 0x²(x + 2.5) - 4(x + 2.5) = 0(x + 2.5)(x² - 4) = 0(x + 2.5)(x + 2)(x -2) = 0

Roots are:

- 2.5, -2, 2

Correct choice is D


Related Questions

An article marked at 1,200 is sold an 8% discount find the s.p of the article?

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i believe its 1296 from 1200 multiplied by 1.08

help with this questions please!

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Answer:

Area = 1/4 * pi * diameter^2

The area is 78.5^2

there is a sale of soft drinks, so four stores are competing with each other. which store offers the best buy ?
store A:12 pack for 3.00
store B: 22 packs for 5.50
store C: 18 pack for 4.75
store D: 36 pack for 8.00

( ill give brainly to whoever answer first w an explanation)

Answers

Answer:

desculpa,mais eu preciso de ponto para ajudar meu irmão

Answer: store D

Explanation: $8/36=22c

write an equation in slope intercept form of the line

Answers

Answer:

4x + 4

Step-by-step explanation:

(4, 5) and (8, 6) are points on the line.

Using delta method:

4 to 8 = +4

5 to 6 = +1

Slope = 4

The line intercepts the y-axis at (0, 4)

Y-int = 4

Mercedes can download new songs for $1.39 each. Write an equation to show how many songs she can download for $15.00. (1 point)
15x = 1.39
15 + x = 1.39
1.39x = 15
1.39 + x = 15

Answers

I think it’s 1.39x = 15.

Find the value of X ​

Answers

[tex]x + 3x + 80 = 180 \\ 4x = 180 - 8 0 \\ 4x = 100 \\ x = \frac{100}{4} \\ x = 25 \: \: \: [/tex]

Solve the equation 4x^2 – 32x + 64 = 0.

Answers

Answer: x = 4

Step-by-step explanation:  4x^2−32x+64=0

4(x−4)(x−4)=0

x−4=0 x−4=0

x=4


Calculate measures of central tendency and
dispersion for the following:

Find the mean, median, midrange, mode, range, standard deviation and Quartile graph

Data: 54, 92, 101, 83, 45, 102, 99,76, 79, 85, 90, 100,
98, 71, 65, 63, 90, 88, 70, 60, 90, 58,81

Answers

Answer:

The mean is 80, the median is 83, and the mode is 90

Step-by-step explanation:

In the average household, the tv is on for 6. 75 hours a day. How many hours will have passed after 77. 7 years?.

Answers

the answer is 524.47500

can u sub 2 my channel its Raging Sushi and can u like the only video there is

Given the following graph, where does the line cross the y-axis?

Answers

Y axis is the vertical line
In this case it means what is the y intercept: which is (0, y)

Solution: (0, -4)

Answer:

-4 is where the line crosses the y-axis

Need help with this question

Answers

I could be wrong but I think:
Blue- Y=3x+2 slope int
Y-2=3(x-0) point slope

Red - Y=1/2x-2 slope int
Y+2=1/2(x-0)
blue line
slope intercept: y= -2x+ 2
point slope form: y+1= -2(x-1)

red line
slope intercept: y=1/2x-2
point slope form: y+1= 1/2(x-2)

find the equation of a line perpendicular to y=x-3 that contains the point (2,1)

Answers

Answer:

y = -x + 3

Step-by-step explanation:

y = x - 3   This equation has a slope of 1

A line that would be perpendicular to the above line would then need a slope of -1

If the line has a slope of -1 and passes through (2, 1) then we can plug into

y = mx + b to get the 'b' value

1 = (-1)(2) + b

1 = -2 + b

3 = b

Equation would be y = -x + 3

Laura is saving to buy a 10-speed bike that costs $189. For four weeks she saved part of her check in the amounts of $15, $39, $18 and $27. How much more does she need?​

Answers

Answer:

90$

Step-by-step explanation:

Answer:

$90

Step-by-step explanation:

$15 + $39 + $18 + $27 = $99

$189 - $99 = $90

Hope this helps <3

In the adjoining figure, AB = DC, ∠BAC = ∠BDC = 90ᵒ, Which of the following
statement is true?

Answers

Answer:

i

Step-by-step explanation:

We have to match the corresponding angles and sides of the 2 triangles.

∡ A corresponds to ∡ D

∡ B corresponds to ∡ C

∡ C corresponds to ∡ B

i)   Δ B  A  C ≅

      ⇵ ⇵ ⇵

    Δ C  D  B

Merriam and Emmanuel assemble a new bookshelf. Its 1ft deep,4ft wide, and 8ft tall. They assemble it flat bit when they tip it up The shelf hits the ceiling. Why does it hit the ceiling

Answers

The maximum dimension of the shelf is given by the space diagonal

length of the shelf.

A possible reason why the shelf hits the ceiling is because the ceiling is

less than or equal to 9 feet from the ground.

Reasons:

The maximum height of the shelf is given as follows;

The diagonal of one of the side = √(8² + 4²)

The diagonal of the completed shelve = √((√(8² + 4²))² + 1²) = 9

The maximum extension of the shelve = 9 feet

Given that the shelf touches the ceiling, we have, that maximum height of

the ceiling = 9 feet.

Therefore, the shelf touches the ceiling because, height from the floor to

the ceiling is lesser than equal to 9 feet.

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Which numbers are a distance of 2 units from 8 on a number line?

Answers

Answer: 6 & 10

Step-by-step explanation:

6 and 10 are 2 units away from a positive 8 on the number line

Solve.

1/3(x+3/5)=3


x=36/5

x=42/5

x=48/5

Answers

Answer:

x = 42/5 is the answer to this question

Option B is correct, the solution to the equation is x = 42/5.

The given equation is 1/3(x + 3/5) = 3.

We have to solve for x:

x is the variable in the equation.

Multiply both sides by 3 to get rid of the fraction:

1/3(x + 3/5) × 3 = 3 × 3

(x + 3/5) = 9

Subtract 3/5 from both sides to isolate the x term:

(x + 3/5) - 3/5 = 9 - 3/5

x = 9 - 3/5

Now, to combine the terms on the right side:

x = 45/5 - 3/5

x = 42/5

Therefore, the solution to the equation is x = 42/5.

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Marguerite is selling space in an advertisement book for a community fund-raising event. Each (1/5) page in the book costs $13.5. What is the cost for (3/5) page.

Answers

Answer:

$40.5.

Step-by-step explanation:

if 1/5 of the book costs $13.5. then to find 3/5 you just have to times the answer by 3.

Find the slope between (-4,9)and(-2,8)

Answers

Answer:

-1/2

Step-by-step explanation:

Tell me if you want a step by step.

Hope this helps. :)

Answer:

-1/2

Step-by-step explanation:

How to do


97 X 98​

step by step plz

Answers

Answer:

9506

Example:

Multiply the 7 and 8 to get 56.

Since 56 is greater than 9, you'll have to carry the 5.

       5

       9 7

x 9 8

___________

               6

Multiply the 9 and 8 to get 72.

And, add the carried 5 to get 77.

77 is greater than 9, but there are no more digits to carry over, so just write the 7 down in front.

   7  5

       9 7

x 9 8

___________

       7    7   6

Multiply the 7 and 9 to get 63.

Since 63 is greater than 9, you'll have to carry the 6.

       6

       9 7

x 9 8

___________

       7    7   6

             3   0

_____________

Multiply the 9 and 9 to get 81.

And, add the carried 6 to get 87.

87 is greater than 9, but there are no more digits to carry over, so just write the 8 down in front.

   8  6

       9    7

x 9    8

___________

       7    7   6

  8   7    3   0

_____________

Then add 776 + 8730 to get your answer which is 9506! :)

  1    1

      7   7  6

+  8  7  3  0

_________

    9  5  0  6

a movie theater can seat 200 people. for one show 85 people are in the theater already. solve the inequality to find how many more people can attend this show

Answers

200-85=115 will be the answer.

Lisa went on a 52 km hike. She divided the distance traveled evenly over 4 days.

How many meters did Lisa walk each day ?

Answers

she walked 12 and a half meter every day 12.5

What can you multiply by to find:

50% of a number?
10% of a number?
75% of a number?

Answers

Answer:

1. 50% of a number

0.5

2. 10% of a number

0.1

3. 75% of a number

0.75

Step-by-step explanation:

this is because a percentage is the same as a decimal or a fraction

so 50% is 0.5 or 50/100

taking 50% of something is the same as multiplying by 50% or 0.5 or 50/100

same with 10% and 75%

I need #1 done (show work) will give brainliest

Answers

Step-by-step explanation:

Statement                                                        Reason                              

∠5 and ∠7 are vertical angles                        Vertical angles theorem

m∠5 = m∠7                                                      Definition of vertical angles

m∠5 = -2(3x - 4), m∠7 = 3(x - 3) - 1                  Given

-2(3x - 4) = 3(x - 3) - 1                                       Substitution property of equality

-6x + 8 = 3x - 9 - 1                                            Distributive property

3x + 6x = 8 + 10                                               Addition property

9x = 18                                                              Addition property

x = 18/9                                                             Division property

x = 2                                                                  Proved

when Anna buys 3 pencils, she spends a $1.50. Each pencil cost the same​

Answers

Answer:

Each pencil is $.50

Step-by-step explanation:

If the total amount she spends is 1.50 for 3 pencils, and each pencil costs the same. Then you have to divide the total amount by the variables. Leaving your equation to be:

1.50 ÷ 3

equaling

.50

Let cost of each pencil be x

Cost of 3 pencils=3x

ATQ

[tex]\\ \rm\hookrightarrow 3x=1.50[/tex]

[tex]\\ \rm\hookrightarrow x=1.5/3[/tex]

[tex]\\ \rm\hookrightarrow x=0.5[/tex]

help asap for brainlist
Given g(x)=−6x+3, find g(−4). To earn full credit, show your work using a method explained in the Orientation.

Answers

Answer:

g(-4) = 24 + 3 = 27

Step-by-step explanation:

We find the value of g(-4) by substituting -4 for x in g(x)= −6x + 3:

g(-4) = -6(-4) + 3, or

g(-4) = 24 + 3 = 27

Answer:

27

Step-by-step explanation:

substitute -4 for x

-6(-4) + 3

24 + 3

27

hope it helps :)

mark brainliest!!

I need it right now .

Answers

Answer:

y=9

a=1.5

n=74

v=8

k=11

a. y=14
b. a=6.5
c. n=-226
d. v=12
e. k=11

Matthew ran 3 miles in 15 minutes at a constant speed. How long would it take him to run 12 miles at the same speed?​

Answers

Answer:

1 hour

Step-by-step explanation:

Matthew runs 1 mile every 5 minutes at a constant rate. You would have to multiply by 12 on both sides to get 12 miles and 5x12 would equal 60 minutes which is 1 hour.

Answer:

the Answer is 60 miles per hour

What is the answer to n?

Answers

Answer:

n = 108

Step-by-step explanation:

The three medians of a triangle intersect at the same point inside the triangle.

The segment from a vertex to the point in the center is 2 times as long as the

other part of the median line.  So OC is 2 times KC.

KC =108    

OC = 2(108)

2n + 10 = 216

2n = 206

n = 108

In ΔABC , Value of [tex]n= 31[/tex] as per given condition of median of a triangle .

What is median of a triangle?

" Median of a triangle is defined as the line segment passing the vertex of a triangle and intersect at mid point of its opposite side.Intersecting point of three medians is known as Centroid."

Property used

Centroid divides the median in the ratio of [tex]2:1[/tex] from vertex side.

According to the question,

Given,

In ΔABC,

BL, AM, CK are the medians of a triangle ABC.

'O' represents the Centroid

[tex]KC = 108\\\\OC = 2n +10[/tex]

Ratio of [tex]KC : OC = 3: 2[/tex]

Substitute the value of KC and OC we get,

[tex]108 : (2n + 10) = 3:2\\\\\implies 3 (2n+ 10) = 2(108)\\\\\implies 6n + 30 = 216\\\\\implies 6n = 186\\\\\implies n = 31[/tex]

Hence, in ΔABC , Value of [tex]n= 31[/tex] as per given condition of median of a triangle .

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Resolver para y. 3xy=12*​

Answers

Answer: 4y-1

Step-by-step explanation:

Simplifying 3xy = 12 Solving 3xy = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '3y'. x = 4y-1 Simplifying x = 4y-1

Hope this helps

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