What are the possible rational roots of x³ X² 10x 8 0?

Answers

Answer 1

The possible rational roots of x³ - x² - 10x - 8 = 0 are -2, -1, and 4.

In mathematics, a root of an equation is a value of the variable that makes the equation equal to zero.

For example, in the equation x² - 4 = 0, the roots are 2 and -2, because when x = 2 or x = -2, the equation is satisfied (2² - 4 = 0 and (-2)² - 4 = 0). In other words, 2 and -2 are the values of x that "cancel out" the equation.

For a polynomial equation, such as x³ - x² - 10x - 8 = 0, the roots are the values of x that make the polynomial equal to zero. In this case, the roots are the values of x that satisfy the equation x³ - x² - 10x - 8 = 0.

The possible rational roots of x³ - x² - 10x - 8 = 0 are the integers that divide 8 and -8 and are also factors of -1. Since 8 and -8 are divisible by 1, 2, 4, and 8, the possible rational roots of the equation are -1, -2, -4, -8, 1, 2, 4, and 8. But among these, only -2, -1, and 4 makes the equation equal to zero.

Hence, -2, -1, and 4 are the possible rational roots of x³ - x² - 10x - 8 = 0.

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Related Questions

Mia ran 10 laps in 6 minutes. Shawna ran 5 laps in 4 minutes.
Which person ran at a faster rate? Use mathematics to justify your answer.

Answers

Answer:

mia

Step-by-step explanation:

mia: 10/6 per minute

shawn: 5/4 per minute

common denominator is 12, multiply by 2 and 3

20/12 lap per minute mia

15/12 laps per minute shawn

20 > 15

Mia is faster because if we take 5/4 we will need to get the the minutes to the same so they could both go into 12 minutes. So Mia would run 20 laps in 12 minutes and Shawna would run 15 laps in 12 minutes

What is the length of the hypotenuse of the triangle?

Triangle A B C. Side A C is 7 centimeters and side B C is 3 centimeters. Hypotenuse A B is unknown.
StartRoot 20 EndRoot cm
StartRoot 23 EndRoot cm
StartRoot 40 EndRoot cm
StartRoot 58 EndRoot cm

Answers

The length of the hypotenuse of the triangle as given is; √58 cm.

What is the length of the hypotenuse of the triangle described?

It follows from the task content that the triangle described in the task content is a right triangle with two other side lengths; 7cm and 5cm.

Hence, it follows from Pythagoras theorem that the length of the hypotenuse side of the triangle is;

Hypotenuse = √(5² + 7²)

Hypotenuse = √58 cm.

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given that line a is parallel to line be and the slope on line a is 2 what is the slope of line b?

Answers

its line a

Step-by-step explanation:

Giovanni is heating up mini frozen pizzas in the microwave. Each pizza takes 3 ¾ minutes to cook. How long will it take Giovanni to heat up 3 pizzas? *

Answers

Time taken by a pizza to get cooked [tex] =\tt 3 \frac{3}{4} \: minutes [/tex]

Number of pizzas with Giovanni = 3

Time that will be taken to heat up 3 pizzas :

[tex] =\tt 3 \frac{3}{4} \times 3[/tex]

[tex] = \tt\frac{4 \times 3 + 3}{4} \times 3[/tex]

[tex] =\tt \frac{12 + 3}{4} \times 3[/tex]

[tex] = \tt\frac{15}{4} \times 3[/tex]

[tex] = \tt \frac{15 \times 3}{4} [/tex]

[tex] = \tt \frac{45}{4} [/tex]

[tex]\color{plum} =\tt 11 \frac{1}{4} \: minutes[/tex]

Therefore, Giovanni will take [tex] \color{hotpink}\tt \bold{11 \frac{1}{4}} \: minutes [/tex] to heat up 3 pizzas.

Gabrielle is baking large batches of brownies and cookies to share with her friends and family. Among other ingredients, her brownie recipe calls for 1 cup of sugar and 2 eggs and her cookie recipe calls for 3 cups of sugar and 2 eggs. Gabrielle has 20 eggs and 21 cups of sugar, and she would like to know how many batches of brownies and cookies she can bake without getting more of these ingredients. Part A Question Which system of inequalities can model Gabrielle’s situation, where x represents batches of brownies and y represents batches of cookies?

Answers

The system of inequalities can model Gabrielle’s situation is;

x + 2y ≤ 20

x + 2y ≤ 203x + 2y ≤ 21

Inequality

It follows from the task content, that the inequalities which can be used to model Gabrielle's situation be determined.

By setting variables as follows;

batches of brownies = x batches of cookies = y

Brownie:

Sugar = 1 cup

Eggs = 2

Cookie:

Sugar = 3 cups

Eggs = 2

x + 2y ≤ 20

x + 2y ≤ 203x + 2y ≤ 21

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In x^a=y, y^b=z, z^c=x, then prove that abc=1​

Answers

Step-by-step explanation:

Let, x^a =y......(1) and

y^b =z.....(2) and

z ^c =x......(3).

Now, using (1) in (2) we get,

x ^ab =z......(4).

Now, using (4) in (3) we get,

x ^abc =x

or, x ^abc =x ^1

or, abc=1.

Hope it will help :)

Step-by-step explanation:

hope the above solution will help you

In a survey of 1800 people who owned a certain type of​ car, 1260 said they would buy that type of car again. What percent of the people surveyed were satisfied with the​ car?

Answers

Answer:

70%

Step-by-step explanation:

To find the percentage, we divide the number by the total.

The amount of people who said they'd buy it again is 1260, and the total is 1800.

1260/1800=0.7.

This means that 70% were satisfied with the car.

Answer:

70% you just take the amount of people that were satisfies divided by the overall amount of people. you'll get e decimal but just move the decimal place to get the percent.

Step-by-step explanation:

please help with this question ​

Answers

Answer:  KL = 22

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

Work Shown:

The diagram is below.

In this diagram, we have KN and LM as opposite sides. For any parallelogram, the opposite sides are parallel (as shown by the arrow markers) and they are congruent to each other. In other words, KN and LM are the same length.

This means KN = LM and we can solve for x like so

KN = LM

3x-11 = x+15

3x-x = 15+11

2x = 26

x = 26/2

x = 13

Then we can find side KL

KL = 2x-4

KL = 2*13-4

KL = 26-4

KL = 22

PLS HELP!!! I dont understand 6 grade math

Answers

Answer:

1st pic) 1 1/2

2nd pic) 40% * x = 35   l   x = 87.5

Step-by-step explanation:

3/4 is half

so multiply by 2 to get the whole

3/4 * 2 = 6/4 = 1 1/2

Function g is defined as g(x) = k f(x). What is the value of k?
What is the value of k?

Answers

Answer: Pick an x value like x = 2

Note that f(2) = 1 and g(2) = 2. This shows we've doubled the f(x) value to get g(x). Therefore k = 2.

Or you could pick on x = 4 to see f(4) = 2 and g(4) = 4. The output of f(x) has been doubled as well.

It doesn't matter what x is since we'll have this doubling effect go on. I recommend picking x values where the points on the blue graph land perfectly on a grid location. Something like x = 5 seems a bit tricky.

:

Samuel bought 8 shirts for a total of $58. If tee shirts cost $6 and long sleeve shirts
cost $11, how many of each type of shirt did he buy?*

Answers

so he brought 5 $6 shirts and 2 $11 shirts

Move the red distribution at the top so that it aligns with the blue distribution. Now look at the green distribution at the bottom. How would you best interpret the green (bottom) distribution?



A- The distribution of differences between the sample means of each group has a mean at or near zero making it likely the two groups are not statistically different.



B- The distribution of differences between the sample means of each group has a mean at or near 325 making it likely the two groups are not statistically different.



C- The distribution of differences between the sample means of each group has a mean at or near zero making it likely the two groups are statistically different.



D- The distribution of differences between the sample means of each group has a mean at or near 325 making it likely the two groups are statistically different.

Answers

Answer:

A- The distribution of differences between the sample means of each group has a mean at or near zero making it likely the two groups are not statistically different.

Step-by-step explanation:

The distribution of both the red and blue is identical although the skewness differs slightly. The distribution of the two groups is identical and their mean is near to zero. The distribution of observation of the group provides clear view that these two groups are not statistically different.

Half of $1\%$ of $40$ is one less than what number? Express your answer as a decimal to the nearest tenth.

Answers

Answer:

$0.2

Step-by-step explanation:

1% of $40

1/100 * 40

0.01 * 40 = $0.4

Half of $0.4

$0.4 / 2 = 0.2

Therefore, half of 1% of $40 equals $0.2

Answer:

1.2

Step-by-step explanation:

The other guy is wrong

I know because I checked

(-4,-2) (0,2) (-2,1) find the domain and range and can you tell me if it’s a function ?? PLS HELPPP

Answers

Answer:

domain means -4,0,-2 and range is -2,2,1

What is 3r2 – 48r + 192?

Answers

for that i got 3(x-8)^2

if 5,400,000
was written in scientific notation, what would be the exponent?

Answers

Answer:

hope it helped have a good day mate

helppppp............

Answers

Answer:

V=lwh

4x6x3

v=72

Answer:

72 cm

Step-by-step explanation:

for volume is pretty simple. All you have to do is multiply the length width and height of you're shape. Once you do that you get 72cm

When given an inverse variation, how do you find k?

Answers

Considering an inverse proportional relationship, you find k taking a point (x,y), and multiplying the values of x and y.

What is a proportional relationship?

A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:

y = kx

In which k is the constant of proportionality.

For an inverse relationship, the function is:

[tex]y = \frac{k}{x}[/tex].

Then:

k = xy.

Which means that to find k, you take a point (x,y), and multiply the values of x and y.

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Find the least positive integer, written only by numbers 0, 1, and 2, which is divisible by 225.

Answers

The least positive integer, written only by numbers 0, 1, and 2, which is divisible by 225 is 1,222,200.

A number (A) is divisible by another number (K) when the division of A by K, leaves a remainder of 0.

In the question, we are asked to find the least positive integer, written only by numbers 0, 1, and 2, which is divisible by 225.

Now, we need to know that the multiples of 225 end with 00, 25, 50, and 75.

So, to have a multiple with digits 0, 1, and 2, we need the last digits to be 00.

The smallest multiple of 225, ending with 00 is 225*4 = 900.

So, we need to have the least multiple of 900, with digits 0, 1, and 2.

We know that a multiple of 9, has a sum of its digit as 9.

The smallest multiple of 9, with digits 1, and 2, will be 12222.

Adding the last 00 to this, we get the least multiple as 1,222,200.

Thus, the least positive integer, written only by numbers 0, 1, and 2, which is divisible by 225 is 1,222,200.

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An economist is studying salaries for high technology companies and wants to test the claim that the average salary for high
tech employees is less than $70,000.
The economist selects a sample of 35 random employees from various high tech companies and records their salaries.
Based on past studies, the economist determines that the population standard deviation is $8,500.
The economist conducts a one-mean hypothesis test at the 5% significance level to test the claim that the average salary for
high tech employees is less than $70,000.
The setup for the null and alternative hypothesis is given as:
Hoμ = 70,000; Ha < 70,000, which is a left-tailed test.
The sample data for 35 salaries is shown in the dataset below.
Use Excel to test the claim that the average salary for high tech employees is less than $70,000, where a = 0.05. Calculate
the test statistic, z, and the p-value, rounding to three decimal places.

Answers

The decision would be to fail to reject the null hypothesis and conclude that there is insufficient evidence.

How to solve for the mean of the data set

The formula is fx/n

To get fx we have to sum all of the values of x = 2430161

The total number in the data set = 35

Mean = 2430161/35

= 69433.17

This test is a left tail test.

sd = 8500

We have to make the hypothesis

H0: u = 70000

H1 : U < 70000

z0.05 = 1.645

The decision would be to reject if z < critical value

Z= (69433.17 - 70000)/(8500/√35)

= -0.395

P-value can be gotten from the z score = 0.348

Given that the p value is > 0.05, we would have to fail to reject the null. The conclusion would be that there is insufficient evidence to support claim.

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La siguiente tabla muestra el saldo de las tres cuentas bancarias de Dmitri.


Ahorros........$573.73

Retiro............$294.43

Cheques --$435.24


Ayuda a Dmitri a ordenar sus cuentas de menor a mayor valor absoluto del saldo.

Answers

Las cuentas de Dmitri de menor a mayor se ordenan: retiro, cheques y ahorros.

¿Cómo organizar las cuentas bancarias de Dmitri?

Para organizar las cuentas bancarias de Dmitri de menor a mayor debemos observar cuidadosamente los valores de cada una. Adicionalmente para organizarlas por valor absoluto nos fijamos únicamente en el número sin tener en cuenta el símbolo, en ese caso el valor de cheques pierde su símbolo negativo.

Entonces las cuentas quedarían organizadas así:

RetiroChequesAhorros

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what is the factor expression of 12p+30

Answers

Answer:

6(2p + 5)

Step-by-step explanation:

The largest common factor of 12 and 30 is 6.  Thus,

12p+30 = 6(2p + 5)

Answer:

12x +30=6(2x+5)

Step-by-step explanation:

Find the Greatest Common Factor (GCF)

GCF = 6

Factor out the GCF (Write the GCF first and then in parenthesis, divide each term by the GCF)

6(12p/6 + 30/6)

Simplify each term that is within the parenthesis

6(2p + 5)

(hope this helps can i plz have brainlist :D hehe)

Alexandra has a home-based business putting on children’s parties. She charges $60 to design the party and then $4.00 per child. Write a function rule that relates the total cost of the party to the number of children n.


f(n) = 4 + 60n

f(n) = 4 – 55n

f(n) = 4n – 55

f(n) = 60 + 4n

Answers

Answer: I don't know/ A. f(n) = 4 + 60n

60+4n=cost. Because the number of children is multiplied by the cost for each child

i would say f(n)=60 +4n but i am probably wrong

Step-by-step explanation: other brainly's

f(n) = 4n + 60...or f(n) = 60 + 4n

f(n)=60+4n that is the correct answer!!!!!!

If the term of arthematic progression decrease in magnitude then common difference must be

Answers

We can say that if the term of arithmetic progression decrease in magnitude then the common difference must be negative.

An arithmetic progression is a sequence where every term is a sum of the previous term and a common difference.

If we suppose the first term of an arithmetic progression to be a, and the common difference to be d, then the arithmetic progression goes like this:

The first term, a₁ = a,

Second term, a₂ = a₁ + d = a + d,

Third term, a₃ = a₂ + d = a + 2d,

Fourth term, a₄ = a₃ + d = a + 3d, and it goes so on up to,

The n-th term, aₙ = aₙ₋₁ + d = a + (n - 1)d.

In the question, we are asked if the term of arithmetic progression decrease in magnitude then what can we say about the common difference.

As the magnitude of the term decreases, we can show that as:

The n-th term < The first term,

or, aₙ < a₁,

or, a + (n - 1)d < a,

or, a + (n - 1)d - a < a - a {Subtracting a from both sides},

or, (n - 1)d < 0.

Since, n > 1, (n - 1) > 0, thus we get the common difference, d < 0, that is, the common difference is negative.

Thus, we can say that if the term of arithmetic progression decrease in magnitude then the common difference must be negative.

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Which statements regarding the diagram are correct? Check all that apply. ST ≅ ST by the reflexive property. ∠RWS ≅ ∠UWT because they are vertical angles. △RWS ≅ △UWT by AAS. △RST ≅ △UST by SAS. ∠WTU ≅ ∠WSR because CPCTC.

ANSWER: ST ≅ ST by the reflexive property.
∠RWS ≅ ∠UWT because they are vertical angles.
△RWS ≅ △UWT by AAS.
∠WTU ≅ ∠WSR because CPCTC.

Answers

Answer:

A., B., C., and E.

Step-by-step explanation:

edge 2021

The correct statements regarding the diagram include all the statements except: △RWS ≅ △UWT by AAS.

Given the image attached below, let's analyze each of the options given to determine whether they are correct or not.

Statement 1 is correct because based on reflexive property, ST in ΔRST is congruent to ST in ΔUTS.

Statement 2 is also correct because ∠RWS is vertically opposite to ∠UWT, so they are vertical angles.

Statement 3 is also correct because ΔRWS and ΔUWT have two pairs of congruent angles (∠SRW ≅ ∠TUW and ∠RWS ≅ ∠UWT) and one pair of non-included congruent sides (SR ≅ TU).

Statement 4 is incorrect because ΔRST and ΔUST do not have a pair of included congruent angles to meet the SAS Congruence Criterion.

Statement 5 is correct because since ΔRWS ≅ ΔUWT, ∠WTU ≅ ∠WSR based on the CPCTC theorem.

Therefore, the correct statements regarding the diagram include all the statements except: △RWS ≅ △UWT by AAS.

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a big water tank contained 200 litres of water. during the day, 88 l 580 ml of water was used and 200 ml leaked. how much water was left in the water tank?

Answers

The quantity of water left in the tank as described in the task content is; 111 l 220ml.

What is the amount of water left in the tank?

The tank described in the task content initially contains 200 liters, in which case, 1 liter corresponds to 1000ml.

Hence, when 88l 580ml was used, the remaining quantity of water is; 200l - (88l 580ml) = 111 l 420ml.

And finally, since 200 ml leaked, the quantity of water left is; 111l 220ml.

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A model car is 7.5 inches long made with a scale of 2 inches = 48 inches. How long is the actual car?
a) 15
b) 20
c) 180
d) 360
WILL MARK BRANLIEST!

Answers

Answer:

I'm pretty sure its 180 !!

If Sam has 4 times as many nickels as dimes and they have a combined value of 120 cents, how many of each coin does he have

Answers

Answer:

Step-by-step explanation:

If Sam has 4 times as many nickels as dimes and they have a combined value of 120 cents, how many of each coin does he have

ANSWER THIS QUESTION FIRST=BRANIEST

Answers

Answer:

18

Step-by-step explanation:

first we divide both parties by 5 making it so that 1/6 =3 and then we multiply  by 6 to make it 6/6 = 18

Simplify the expression. 8(s-1)

Answers

Answer:

8s-8

Step-by-step explanation:

Use the distributive property: #(a-b) = #*a - #*b. In this case 8s - 8.

Hope it helps!

Answer:

8

8

hopes this help    

Step-by-step explanation:

8

(

1

)

8

8

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