What is Irrational Root Theorem? Explain and give examples.

Answers

Answer 1

Answer: if the irrational sum of a plus the square root of b is the root of a polynomial with rational coefficients, then a minus the square root of b, which is also an irrational number, is also a root of that polynomial.

Step-by-step explanation: Look it up


Related Questions

The measures of the angles of a triangle are shown in the figure below. Solve for x.

Answers

X=27 because all the angles inside a triangle add up to 180°. So you take 180 and subtract 63 and 90 from the to find out the last/missing angle.

Answer: 27°

Step-by-step explanation: Here, we're asked to find the missing angle measure in the triangle shown which is represented by the variable x.

To find the value of x, remember that the sum of the

measures of the angles in a triangle is 180°

So we can setup the equation 63 + 90 + x = 180.

Remember that a box indicates a 90° angle.

Now to solve for x, let's first simplify on the left side of the equation.

63 + 90 is 153 so we have 153 + x = 180.

Now to get x by itself, we subtract 153 from both sides of the equation.

On the left side of the equation, 153 - 153 cancels out and we have x

and on the right side of the equation, 180 - 153 is 27.

This means that the missing angle in the triangle is 27°.

Find the values of the trigonometric functions of from the information given.
tan() = −5, sin() > 0
sin =
cos() =
csc() =
sec() =
cot() =

Answers

Why are you cheating... I will report this to your teacher

Please I would be grateful I need help

Answers

Answer:

A.. 3x

Step-by-step explanation:

Option A is the correct answer.

[tex] 9xy^2 - 6xy - 3x[/tex]

[tex]= 3x(3y^2 - 2y - 1)[/tex]

The answer is A which is 3x

the position of a weight suspended from a spring is defined by the following function s(t)=cos(2t). find the velocity at pi/12

Answers

For velocity take the derivative
V(t) = -2sin(2t)
t= pi/2
V = 0

A bank's loan officer rates applicants for credit. the ratings are normally distributed with a mean of 200 and a standard deviation of 50. if an applicant is randomly selected, find the probability of a rating that is between 200 and 275.

Answers

Answer:

0.4332 = 43.32% probability of a rating that is between 200 and 275.

Step-by-step explanation:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

A bank's loan officer rates applicants for credit. the ratings are normally distributed with a mean of 200 and a standard deviation of 50

This means that [tex]\mu = 200, \sigma = 50[/tex].

Find the probability of a rating that is between 200 and 275.

This is the pvalue of Z when X = 275 subtracted by the pvalue of Z when X = 200. So

X = 275

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{275 - 200}{50}[/tex]

[tex]Z = 1.5[/tex]

[tex]Z = 1.5[/tex] has a pvalue of 0.9332

X = 200

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{200 - 200}{50}[/tex]

[tex]Z = 0[/tex]

[tex]Z = 0[/tex] has a pvalue of 0.5

0.9332 - 0.5 = 0.4332

0.4332 = 43.32% probability of a rating that is between 200 and 275.

which fraction is the same as 9/10?

Answers

Answer:

the first one is the same

Step-by-step explanation:

90/100 because its x10 on both sides

Given that €1 = 0.72

How much is €410 in £?

Answers

Answer:

295.20

Step-by-step explanation:

410*0.72

Answer:

295.2

Step-by-step explanation:

Whats 1/4+9/58*1/2 ???

Answers

Answer: 0. 327

Step-by-step explanation:

I just used a demos calculator I suggest using demos scientific calculator.

Does this expression represent the sum 13.76 + 2.8?

15.84

Answers

Answer: false

Step-by-step explanation:

false

Answer:

False

Step-by-step explanation:

Numbers dont add up

Solve for indicated side

Your Answer:
Question 4 options:
Answer

Answers

Answer: The answer is 10.

Step-by-step explanation:

Sorry, I write sloppy.

Frida applied the steps below to find the product of (–1.2)(–9.4). Step 1: (–1.2)(–9.4) = (–9.4)(–1.2) Step 2: = (–9.4)(–1) + (–9.4)(–0.2) Step 3: = (9.4) + (1.88) Step 4: = 11.28 Which step shows where she applied the property that states multiplying two negative numbers will always yield a positive number?

Answers

Answer:

step 3!

Step-by-step explanation:

Match each statement with the correct reasoning in the proof below.

helpl

Answers

Answer:

When demand for goods increases - Price will rise

When supply of goods increases - Prices will fall

Step-by-step explanation:

Supply and demand function works oppositely in economy. When there is huge demand for goods and supply is short then prices will rise. This is because supply is not sufficient to meet the demand and the market is not in equilibrium position.

The Rodriguez
family is on a
vacation. They
started with $1,875.
They have spent
$140 each day and
have $895 left for the
rest of their vacation.
Write and solve an
equation to find how
many days have they
been on their
vacation already?

Answers

1,875 - 895 = 980 dollars they spent. 980 divided by 140 equals 7. They have been on their vacation for 7 days.

2(x + 5) = 3x + 1
Solve the equation

Please hurry

Answers

Answer:

So the answer is 9

Step-by-step explanation

1 . The explanation is that you have to distrubte the parentheses 2.subtract 10 from both sides 3.simplify what you got after you 4.subtract 3 from both sides 5.simplify again 6.divide both sides of the equation by the same terms 7.simplify again and you get 9

Your teacher gave you 2/3 a bag of candy, but she only gave your friend 1/8 of a bag.
How much more of the bag did your teacher give you than your friend?

Answers

Answer:

Step-by-step explanation:

We can convert the 2/3 bag of candy that we got to 16/24, by multiplying both the top and bottom by 8. Similarly, we multipy the 1/8 bag of candy that our friend got by 3 on the top and bottom to get 3/24.

We find the difference between these two:

(16/24) - (3/24) = (16-3)/24 = 13/24

So we get 13/24 more of the bag of candy than our friend did. (That's more than half!)

What single decimal multiplier would you use to increase by 10% followed by a 16% decrease?

Answers

So a decrease of 16% followed by an increase of 14% is the same as multiplying by 0.9576 (which is a decrease of 4.24%)

The single decimal multiplier is 0.924.

What is a percentage?

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

To find the single decimal multiplier:

First, increase by 10%.

100 + 10% = 110%

And number multiplier is 1.10.

Then, a followed by a 16% decrease.

That means,

100-16 = 84%

So, number multiplier is,

(1.10)(0.84) = 0.924

Therefore, the single decimal multiplier is 0.924.

To learn more about the percentage;

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A polygon has the following coordinates: A(6,-7), B(1,-7), C(1,-4), D(3,-2), E(7,-2), F(7,-4). Find the length of BC

Answers

Answer: B= 2,4

C=8,1

Step-by-step explanation:

Answer:

I believe its 5 units!

Step-by-step explanation:

The total budget for a school fundraiser is $350. Supplies and refreshments cost $140. The band for the event charges $70 each hour. What is the number of hours the school can have the band play?

Which equation represents the situation?


Answers

Answer:

I think its 3 hours

Step-by-step

also I think its the last one

Im not sure how to do this math question y=2x graphing

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X is the bottom and y is going up
Start at one at the bottom and times by two so 2. Do this for all the numbers on the x axis
Answers
(1,2). (2,4) (3,6) (4,8) (5,10)
Then connect these coordinates

2 log x + log 11
WILL MARK BRAINLIEST

Answers

Answer:

[tex] log(11 {x}^{2} )[/tex]

Step-by-step explanation:

[tex]2logx + log11 \\ \\ = log {x}^{2} + log11 \\ \\ = log( {x}^{2} \times 11) \\ \\ = log(11 {x}^{2} )[/tex]

The Equivalent value of 2 log x + log 11 is log(11x²).

What is Logarithm?

The power to which a number must be increased in order to obtain additional values is referred to as a logarithm. The easiest approach to express enormous numbers is this manner. Numerous significant characteristics of a logarithm demonstrate that addition and subtraction logarithms can also be represented as multiplication and division of logarithms.

We have to find the value of 2 log x + log 11.

Using the property

log a + log b = log (ab)

and, 2 log a = log a²

So, 2 log x + log 11

= log x² + log 11

= log( x² × 11)

= log(11x²)

Learn more about Logarithm here:

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solve the inequality 2(n+3) - 4 < 6. then graph the solution.



Please help ??

Answers

Answer:

n < 2

Step-by-step explanation:

Answer: Look at the explanation please.

Step-by-step explanation:

The first thing you would do is distribute the 2 to the n and the 3.

You will then get 2n+6-4<6

Next, you will have to subtract 6-4 and you will get 2

You will the have 2n+2<6

Subtract 2 from 2 to get 0 and from 6 to get 4.

Your left with 2n<4

Then, divide 2 from 2n and 2 from 4

Last, your answer will be n<2.

Graphing

Your graph would look like (from what I see in my book)

You have seven tick marks and in the middle will be 0.

From the left of 0 should have negative 1, 2, and 3

From the right of 0 would be positive 1, 2, and 3

On the top of 2 would be a open circle and an arrow going to the left.

Hope this helps :)

3. How many kilograms are equal to
5,000 grams?

A 500 kilograms
B 50 kilograms
C 5 kilograms
D 0.5 kilogram

Answers

Answer:

C.) 5 kilograms

Step-by-step explanation:

1000 grams = 1 kilogram

To convert grams to kilograms we divide by 1000

5000g divided by 1000 kg = 5kg

May I Please Have Brainliest I'm trying to achieve a new rank

5,000 grams is equal to 5,000/1000 = 5 kilograms. The correct option is C

What is kilograms ?

A unit of measurement used to describe mass or weight is the kilogram (kg). It is widely used all over the world to measure an object's weight because it is the International System of Units' (SI) fundamental unit of mass.

To convert grams to kilograms, you divide the number of grams by 1000 since there are 1000 grams in one kilogram.

So, 5,000 grams is equal to 5,000/1000 = 5 kilograms.

Therefore, the correct option is C. 5 kilograms.

Learn more about kilograms here : brainly.com/question/29255021

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(-5 + 5i) + (4 – 4i)?

Answers

Answer:

The answer is:

Step-by-step explanation:

1. -30

2. 20

-1 + i is your answer

In Sally's grade, there are 60 students. Currently, 10% of them are enrolled in health. How
many students are enrolled in health?

Answers

Answer:

6 Students

Step-by-step explanation:

10% of 60 is 6.

6 students I think 60-90%

2ab( 4a2 + 3ab - 7b2)​

Answers

Answer:

6ab + -3a2

Step-by-step explanation:

2ab(4a2 + 3ab - 7b2)     original problem

2ab(3ab + 4a2 - 7b2)     commutative property

2ab(3ab + -3a2)     subtract

4 - 7 = -3

6ab + - 3a2              mulitiply

2ab x 3ab = 6ab

and that is you final expression, you can't add the last 2 numbers cause they are not like terms.

Answer:

1.8ab²

2.7xy⁶

3.7x²

4.8x²+4

5.43y⁵+21

Step-by-step explanation:

yan palang po ung nasagutan ko hindi ko pa po alam kung tama pero yan na ung solution : )

X-3 + x + 3 gl call claim

Answers

Answer
2x
Explanation

Answer:

2

Step-by-step explanation:

Cómo resolver este problema matemático

El problema matemático es

3

+

+

3

x-3+x+3

x−3+x+3

Simplifica

1

Suma los números

3

+

+

3

+

2

Combina los términos semejantes

+

2

5x+(6x divided by -9)

Who ever answer’s this i will mark brainliest

Answers

Answer:

(13/3)x

Step-by-step explanation:

6x/-9 is eqivalent to (2/-3)x. 5x is equivalent to (15/3)x. Combine the like terms and you get (13/3)x.

-8h+z/7
Use z=21 and h=4

Answers

Answer:

Hope this helps

Step-by-step explanation:

Instead I’d using the values 1,2,3,4,5,6 on dice, suppose a pair of dice have the following 1,2,2,3,3,4 on one die and 1,3,4,5,6.8 on the other.find the probability of rolling a sum of 12

Answers

Answer:1/24

Step-by-step explanation:

Since the first die has 4 distinct numbers, and second has 6 distinct numbers, so total number of combinations possible = 4 × 6 = 24

Now, the number of chances where we get the rolling sum as 12 is only one. (

Therefore, the probability of getting sum 12 is 1/24

Answer:

1/36

Step-by-step explanation:

For the acellus people

(Please I will mark BRAINLIEST, not lie)Use this equation to solve for the missing variable:
y = 8x + 12


If x = -6, y = _____

If y = 13, x = _____

Answers

y = 8x + 12

if x = -6

y = 8(-6) + 12

y = -48 + 12

y = - 36


if y = 13

13 = 8x + 12

13-12 = 8x

8x = 1

x = ¹/₈ ≈ 0.125

Answer:

If x = -6, y = -36

If y = 13, x = [tex]\frac{1}{8}[/tex]

Step-by-step explanation:

There is one equation and are asked to find x and y if there is a certain value to substitute either x or y.

Let's start with x, we know that x = -6. Meaning that we need to subtitute x for -6. Do as followed :

y = 8(-6) + 12

y = -48 + 12

y = -36

Now do y, we know that y is 13. Meaning that we need to substitute y for 13. Do as followed :

8x + 12 = 13

We need to isolate x alone, so do as followed :

Subtract 12 from both sides to get 8x alone :

8x = 1

Divide 8 from both sides to get x alone :

x = 1/8

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