Mathematics High School

50 pts. & will give brainliest! use the rational root theorem to list all possible rational roots of the polynomial equation x^3 - x^2 - x - 3 = 0. do not find the actual roots. (1 point)
a. -3, -1, 1, 3
b. 1, 3
c. -3, 3
d. no roots

Answers

Answer 1

Answer:

The Cubic Polynomial given here is

x³ - x² - x -3 =0

Rational root theorem :

Consider any polynomial

[tex]→ Ax^n +A_{1}x^{n-1}+A_{2}x^{n-2}+.................+A_{n}=0Axn+A1xn−1+A2xn−2+.................+An=0[/tex]

So, the factors of this polynomial is those number which divides An/A which are ±1, An/A.

Applying the same method the number which divides (-3) are,-3,+3,-1,+1. So By rational root theorem all the factors of this cubic polynomial is 3,±1,±3 .

Option 1. -3,-1,1,3 is correct option
Answer 2

Answer:

-3, -1 , 1, 3

Step-by-step explanation:

Constant factors: 1, -1, 3, -3

Coefficient factors: 1, -1

Related Questions

!!NEED ASAP!!
The London Eye is Europe's
largest Ferris wheel with a
diameter of 120 meters. It takes
30 minutes for the wheel to make
one full rotation. If the wheel is
running continuously, how far will
a passenger travel in 40 minutes?
Round your answer to
the nearest tenth.

Answers

Diameter = 120m

Circumference = (120 · π) m

(40 min) / (30 min/rotation)  =  4/3 rotation

Passenger travel = (4/3) · (120π)  =  160π meters  =  502.7 meters

Chaos theory worksheet

Answers

Image does not load please re upload

here is a screenshot please help 15 points

Answers

Length is 2 cm and angle is 135

what is 10 feet then half that length again

Answers

Answer:

5 feet?

Step-by-step explanation: 10 divided by 2 = 5

Answer:

5 feet :D

Step-by-step explanation:

Well the answer would be 5 feet due to finding the half of a number you divide it by 2. 10 divided by 2 would be 5, so the answer is 5.

Mrs. Reyes purchased nine books for her classroom that each cost $5.63. Using complete sentences, explain how to find the total cost of the books. Make sure your answer includes the steps of the algorithm you would use, as well as the product. HELP PLEASE i'm stuck

Answers

Answer:

5.63 x 9 = 50.67

Mrs. Reyes has spent $50.67 on books.

Write the expression using exponents.

3 × 3 × 3 × 3

A. 33
B. 34
C. 43
D. 35

Answers

Answer:

B

Step-by-step explanation:

-4 1/2 + 2 3/4

Guys help me Im having trouble on this EEEEEEEEEE

Answers

Answer: does that “-4” count? 1/2 + 2 3/4 mixed number equations are easy. Switch the other way so it should be 2 3/4 + 1/2. The 2 whole remains. 3 - 1 = 2. Dont subtract the denominator. Final is 2_2/4. Not 100% sure if im correct though, i might need more studying

w+(−2.8)=4.3 whats the answer

Answers

Answer:

w=7.1

Step-by-step explanation:

Answer:

w=7.1

Alternate form

w= [tex]\frac{71}{10}[/tex] ,  w= 7[tex]\frac{1}{10}[/tex]

Name the 5 Steps to solving equations and inequalities.

Answers

Answer:

Step 1 : First, solve one linear equation for y in terms of x .

Step 2 : Then substitute that expression for y in the other linear equation. ...

Step 3 : Solve this, and you have the x -coordinate of the intersection.

Step 4 : Then plug in x to either equation to find the corresponding y -coordinate.

Step-by-step explanation:

Modeling with Systems how do you do this?

Answers

Answer:

The systems model is a process-oriented representation that emphasizes the influences, or flow, of information between modules.

Step-by-step explanation:

A systems model describes how processes interact and what operations these processes perform, but it does not go into details as to how these processes are implemented.




Find the values of a and b. The diagram is not drawn to scale.

Answers

Answer:

36

Step-by-step explanation:

Same side

Answer:

a = 144°, b = 67°

Step-by-step explanation:

a is supplementary with 36 and b is supplementary with 113. Same side interior angles.

Supplementary angles sum to 180°

a = 180 - 36 = 144b = 180 - 113 = 67

Which equation represents a line which is perpendicular to the line 5x+2y=12?
A. y = -5/2x + 2
B. y = -2/5x - 4
C. y = 5/2x + 3
D. y = 2/5x - 3

Answers

The answer your looking for is Y=2/5x -3 or D

Find the area of the figure. All intersecting sides meet at right angles. a. 1,440 m2 c. 76 m2 b. 106 m2 d. 46 m2

Answers

answer:

C.76 m2

that all i know hope it helped to your modules

I NEED HELP ON 2 PLEASEEEEEEEEE

Answers

Answer:

294

Step-by-step explanation:

Scale factor is 3.5 (If you go from the smaller image to the bigger image).

7 x 3.5 = 24.5 feet

since the question is asking you for the answer in inches you have to multiply 24.5 by 12 which gives you 294

f (x)=x^2 what is g (x)

Answers

Answer:

Answer is X =0

Step-by-step explanation:

I Found This on a app

The perimeter of a rectangular picture frame is 120 inches. The length of the picture frame is 10 inches more than the width. Find the length and width of the picture frame.

Answers

Answer:

Length is 35 width is 25

Step-by-step explanation:

Mia is 7.04304 x 10 minutes old. Convert her age to more appropriate units using years, months, and
days. Assume a year has 365 days and a month has 30 days.
a
Mia is 13
years
months and
days old

Answers

Answer:13 years,1 month, and 29 days

Step-by-step explanation:

How does this image help you understand why the French surrendered to the Prussians?

Answers

Answer:

It's hard.

Step-by-step explanation:

Answer:

Step-by-step explanation:

If you look carefully at the diagram, it looks like the French have no way out. The Prussians are on the outside perimeter and can always get supplies into their position. Since they are completely surrounded, the French do not enjoy that luxury.

Furthermore (and I'm guessing here) the Prussians probably outnumbered the French. Now it is possible to get around that problem, but not terribly likely if the numbers are really lopsided.

5 900 rounded to the nearest thousand

Answers

Answer:

6000

Step-by-step explanation:

9>5 so round up

6000

A vector is in standard position, with its terminal point in the second quadrant and an x-coordinate of –5. The vector has a magnitude of StartRoot 61 EndRoot.Complete the statements describing the vector. The y-coordinate of the vector to the nearest tenth is . The direction angle to the nearest whole number is °.

Answers

a.

The y-coordinate of the vector with its terminal point in the second quadrant is 6.

The magnitude of the vector, r = √(x² + y²) where x = x-coorcinate of vector = -5 and y = y-coordinate of vector.

Since r = √61 and r = √(x² + y²)

Making y subject of the formula, we have

y = √(r² - x²)  

Substituting the values of the variables into the equation, we have

y = √((√61)² - (-5)²)  

y = √(61 - 25)  

y = ±√36

y = ±6

Since r is in the second quadrant, its y-coordinate is positive.

So, y = 6

So, the y-coordinate of the vector with its terminal point in the second quadrant is 6.

b.

The direction angle of the vector with its terminal point in the second quadrant is 130°

The direction angle of the vector is gotten from tanФ = y/x

Subsstituting x and y into the equation, we have

tanФ = y/x

tanФ = 6/-5

tanФ = -1.2

tan(180° - Ф) = 1.2

Taking inverse tan of both sides, we have

180° - Ф = tan⁻¹(1.2)

180° - Ф = 50.2°

Ф = 180° - 50.2°

Ф = 129.8°

Ф ≅ 130° to the neares whole number

The direction angle of the vector with its terminal point in the second quadrant is 130°.

Learn more about vectors here:

https://brainly.com/question/18478651

Answer:

first one is 6.0 and the second is 130

Step-by-step explanation:

The difference between two integers is 6. The sum of their sqaures is a minimum. Find the 2 integers.
Answer with explanation gets brainliest.​

Answers

Answer:

3 and - 3

Step-by-step explanation:

Let the numbers are x and y.

Their difference is:

x - y = 6

Sum of their squares:

S = x² + y²

Substitute y = x - 6 into sum equation:

S = x² + (x - 6)² =      x² + x² - 12x + 36 =      2x² - 12x + 36

We observe this is a quadratic expression. It has minimum value at vertex, which is when x = -b/2a or:

x = - (-12/2*2) = 3

Then the value of y is:

y = x - 6 = 3 - 6 = - 3

4 ^ 5 (45 - 15) 3 / 12

Answers

Answer:

2/4

Step-by-step explanation:

There are mangoes and oranges in a basket in the ratio 7: 11. If the total number of fruits is 720, then how many mangoes are there in the basket?​

Answers

Answer:

280 mangoes

Step-by-step explanation:

sum the parts of the ratio, 7 + 11 = 18 parts

Divide the total by 18 to find the value of one part of the ratio.

720 ÷ 18 = 40 ← value of 1 part of the ratio , then

7 × 40 = 280 ← number of mangoes

Answer:293

Step-by-step explanation:

720-719= 1

1+292= 293

Write in standard form 456 000

Answers

Answer: 4000,000 + 50,000 + 6,000  

Step-by-step explanation: just break apart the number and add

find the total tax to the nearest cent $58 bill; 20% tip

Answers

Answer:

$ 68 $ 58

Step-by-step explanation:

I'm not sure answer is $ 68 $ 58

−6/7 m = −84

what does m =

Answers

Answer:

m=98

Step-by-step explanation:

-6/7m=-84 - Divide both sides by -6/7

-84/(-6/7)=84*7/6=98

Answer:

m = 98

Step-by-step explanation:

First multiply the fraction's denominator, which is 7, on both sides to get -6m = -588. Then divide both sides by -6 to get m = 98.

Hope this helps you :)

How to find the theoretical mean and standard deviation using central limit therom.

Answers

Answer:

I can even see anything can you reupload your answer, please?

Step-by-step explanation:

What is the area of this tile?

Answers

Answer:

i think its 16 but im not sure

Step-by-step explanation:

6+6+2+2= 16 but im not sure if that how u do it or not

it's been so long since i've done that stuff. 12 in i think

HELPP PLEASEE AND THANK YOU:)

Answers

Step-by-step explanation:

i think the answer is 112°.......

You need the angle image for this

Between which two integers does the square root of 117 lie

Answers

Answer: 10 and 11 or -11 and -10

Answer:

Step-by-step explanation:

10 and 11 or -10 and -11

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