if a polynomial has one root in the form a+√b , it has a second root in the form of a_√b​

Answers

Answer 1

Answer:

(a - √b​)

Step-by-step explanation:

Roots occur as positive and negative conjugates. Therefore, the conjugate of (a + √b) is (a - √b)


Related Questions

A clock gains time at a steady rate. It is set to the correct time at
10: 00 AM. When the clock shows 2 : 00 PM, the correct time is
1: 36 PM. How many minutes fast will the clock be the next time the
correct time is 5 : 30 PM?

Answers

Answer:

The clock will be 50 minutes fast

Step-by-step explanation:

Proportions

It's known a clock gains time at a steady state, or constant rate.

At 10:00 AM the clock is set at the correct time and at 1:36 PM the clock shows 2:00 PM. This means in that period of time, it has gained 24 minutes.

From 10:00 AM to 1:36 PM there are 3 hours and 36 minutes, or equivalently, 3*60+36 = 216 minutes

Our clock gains time at a rate of 24 minutes each 216 minutes. This gives the ratio 24:216 = 1:9.

When the new correct time is 5:30 PM, there will have passed 7 hours and 30 minutes since 10:00 AM, or equivalently, 7*60+30 = 450 minutes.

Since the clock gains time at a ratio 1:9, the time gained is 450/9=50 minutes.

The clock will show 50 minutes more than the correct time of 5:30 PM, that is, 6:20 PM.

The clock will be 50 minutes fast

In a data set with a normal distribution, the mean is 98 and the standard deviation is 12. About what percent of the data lie between 74 and 122?

Answers

Answer:

B. 95%

Step-by-step explanation:

The mean is in the middle and standard deviation is 12. So subtract 12 from 98 until you get to 74. That's two times. And two times/spaces to the left and right is 95% of the data.

The confidence interval is 95.45% of the data in the data set with a normal distribution

What is Confidence Interval?

The mean of your estimate plus and minus the range of that estimate constitutes a confidence interval. Within a specific level of confidence, this is the range of values you anticipate your estimate to fall within if you repeat the test. In statistics, confidence is another word for probability.

With a 95 percent confidence interval, you have a 5 percent chance of being wrong. With a 90 percent confidence interval, you have a 10 percent chance of being wrong. A 99 percent confidence interval would be wider than a 95 percent confidence interval

Confidence Interval CI = x + z ( s/√n )

where x = mean

z = confidence level value

s = standard deviation

n = sample size

Given data ,

To find out what percent of the data lie between 74 and 122 in a normal distribution with a mean of 98 and a standard deviation of 12, we can use the empirical rule, also known as the 68-95-99.7 rule, which states that:

Approximately 68% of the data falls within one standard deviation of the mean

Approximately 95% of the data falls within two standard deviations of the mean

Approximately 99.7% of the data falls within three standard deviations of the mean

Based on this rule, we can estimate the percentage of data that lies between 74 and 122 as follows:

Calculate the z-scores for 74 and 122 using the formula: z = (X - mean) / standard deviation

For 74: z = (74 - 98) / 12 = -2

For 122: z = (122 - 98) / 12 = 2

Find the area under the normal curve between these two z-scores using a standard normal distribution table or a statistical calculator.

The area between z = -2 and z = 2 represents the percentage of data that lies between 74 and 122.

Using a standard normal distribution table, we can find that the area between z = -2 and z = 2 is approximately 0.9545 or 95.45%.

Hence , about 95.45% of the data in the data set with a normal distribution would be expected to lie between 74 and 122.

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Help with geometry please

Answers

9514 1404 393

Answer:

  27/36

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you that the tangent relation is ...

  Tan = Opposite/Adjacent

  tan C = AB/CB

  tan C = 27/36

Let f(x) = - 2x + 5 and g(x)=x2 + 5.
Find (f+g)(x)

Answers

Answer:

[tex]x^{2}[/tex]-2x+10

Step-by-step explanation:



The room number of the a computer lab is a perfect
square. It is not even, but it is a multiple of 3. The
room number is either 25, 27, 36, or 81. Which one is
it?

Answers

Answer:

81

Step-by-step explanation:

25 and 27 are not perfect squares so they can not be the answer.

36 and 81 are both multiples of 3, but only 81 is not even, so the answer is 81

2squared minus 4squared plus 1 plus 7 squared can you find the answer​

Answers

2²-4²+1+7²

we should solve the numbers with exponents :

4-16+1+49 = -12 + 1 + 49 = -11 + 49 = 38

pls give me brainliest

238% of what number is 47,600?

Answers

Answer:

I think 200

Step-by-step explanation:

47600/238=200

200*238=47600

Answer:

the answer is actually 20000

Step-by-step explanation:

238%             x  =47,600

2.38x=47,600

47,600/2.38= 20000

Out of these, which is not an inequality?

a. 435 ≥ 5p + 4

b. g - 7 < 100

c. 18x + 9y

d. a > 6b​

Answers

Answer:

C. 18x+9y

Step-by-step explanation:

Answer:

I think its the third one, C. Hope this helps!

What is x? I’ll make you the brainliest

Answers

Answer:

48

Step-by-step explanation:

If EG=8, OE=4

x/12=4

x=4(12)

x=48

Find x. Round to the nearest tenth.

Answers

By knowing all sides of triangle and applying the formula of the law of the cosines we conclude that the missing angle X is approximately 117.9°.

How to find the missing angle

In this question we have a triangle with three known side lengths but all missing angles, we can determine the missing angle by using the law of cosines. If we know that x = 90 ft, y = 55 ft and and z = 50 ft, then the missing angle X is:

90² = 55² + 50² - 2 · 55 · 50 · cos X      (1)

X ≈ 117.916°

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Using eight eights and addition only, can you make 1000?

Answers

Answer:

888 + 88 + 8 + 8 + 8 = 1000

simple

1. Lois has 10 coins in quarters and dimes in their pocket. After counting, the total value is $1.45. How many of each coin did Lois have?

Answers

Answer:

5 quarters and 2 dimes

Step-by-step explanation:

5 quarters make 1.25 + 10 cents = 1.45

Answer: she had five quarters and 2 dimes

Step-by-step explanation:

ङ-आपको कौन-सी ऋतु पसंद है और क्यों ?​

Answers

Answer:

हेलो मेरा पसंदीदा मौसम गर्मियों का है, मैं इसे प्यार करता हूं क्योंकि मैं अपने दोस्तों के साथ तैराकी करता हूं और मुझे तैराकी पसंद है क्योंकि मैं ट्रैक रन करता हूं, मुझे सिर्फ गर्मी से प्यार है

Step-by-step explanation:

Write the first 3 terms of the sequence 2+3

Answers

Answer:

5,10,15?

Step-by-step explanation:

???

Write the following rate in simplest forms.

1. 333 calories burned in 55 minutes.

2. 4 million hits on a website in 16 months.

3. 279 points in 27 games.

4. $49 for 448 photos.

5. 6 pounds of zucchini for 24 servings.

Answers

Answer(s): 333/55, 1/4, 31/3, 7/64.


Explanation: 333/55 is already in simplest form
(4/16)/(4/4)=1/4

(279/27)/(9/9)=31/3

(49/448)/(7/7)=7/64

Which expression is equivalent to 4(3x + 2y) + 5(2x – 4y)?
A 222 - 12y
B 14.2 - 9y C 22x – 2y D 172 4y

Answers

Answer:

22x-12y

❤❤

hope its helpful ❤❤❤❤

THANK YOU.

A store pays $15 for a baseball cap. The percent
markup is 60%. What is the selling price?

Answers

Answer:

$25

Step-by-step explanation:

Simply by using long division, this can be solved. Change 60% into its decimal form (0.6,) and divide 15 by 0.6.

What best describes the expression y over 4? (5 points)
a. Some number divided by 4
b. Some numbers times 4
c. 4 more than some number
d. 4 less than some number

I prefer you 100% know the answer and not “think” this is very important!!

Answers

A because it would be y divided by 4 and you would solve for what y is

Answer:

a

Step-by-step explanation:

Why doesn't the SSA triplet guarantee triangle congruence?​

Answers

Answer: Because Knowing only side-side-angle (SSA) does not work because the unknown side could be located in two different places. Knowing only angle-angle-angle (AAA) does not work because it can produce similar but not congruent triangles.The AS.S Postulate does not exist because an angle and two sides does not guarantee that two triangles are congruent. If two triangles have two congruent sides and a congruent non included angle, then triangles are NOT NECESSARILY congruent. And The SSA (or AS.S) combination deals with two sides and the non-included angle. This combination is humorously referred to as the "Donkey Theorem". SS.A (or AS.S) is NOT a universal method to prove triangles congruent since it cannot guarantee that the shapes of the triangles formed will always be the same.

Step-by-step explanation:

hope this helps have a great night ❤️❤️❤️❤️

Type the correct answer in the box. If necessary, use / for the fraction bar and simplify the fraction. cos(75°)cos(15°) =

will mark brainliest

Answers

Answer:

1/4

Step-by-step explanation:

using the product-to sum formulas, this is

1/2 (cos(75+15) + cos(75-15))

Answer:

1/4

Step-by-step explanation:

PLATO USER

Becky made 63 carnival masks which is 30 % less than the number her brother made How many carnival masks did beck and her brother make in total?

Answers

Answer:

sorry im not smart

Step-by-step explanation:

sorry

THis is akward lol

f(x) = x2 - 4x – 8,
Graph

Answers

Answer:

-2x-8

2x= -8

x = -4

or

( x - 2 )(x + 2 )

x=2

x= -2

Work out the circumference of this circle with radius 7.5cm
Take pi to be 3.142​

Answers

Answer in terms of pi: 15pi cm
Explanation:
C = 2 x pi x r
C = 2 x pi x 7.5
C = 15 pi

Answer: 47.12cm (rounded to 2dp)
Explanation:
C = 2 x pi x r
C = 2 x pi x 7.5
C = 15 pi
C = 47.1238898
C = 47.12 (2 dp)

Answer:

15pi cm or 47.12

Step-by-step explanation:

Radius= 7.5cm

7.5 x 2 = 15

diameter= 15cm

circumference = pi x diameter

circumference= pi x 15

=15pi cm or 47.12

solve and receive brain list ​

Answers

Answer:

x = 19/22

Step-by-step explanation:

8x-12+36x = 26

44x - 12 = 26

44x = 38 (add 12 on both sides)

x = 19/22 (divide bot sides by 44 and simplify)

The ratio of soccer balls to volleyballs in the coach's bag is 10 to 6. If there are 20 soccers balls in the bag how many volleyballs are in the bad?

Answers

Answer:

12

Step-by-step explanation:

10 x 2 is 20

6 x 2 is 12

A. Identify which of the following points: (2,-5),(4,1),(3, 3),(6,3) are solutions of the linear equation: 2x - y = Graph each point that is a solution of the linear equation from Part A. ​

Answers

Answer: It will be (2,-5) and (6,3) because they are one the slope line

Step-by-step explanation:

Hope is Helped

ABCD∼EFGH
The value of x is

Answers

Answer

didn't know there was an image

Annabeth and Charlie are both on road trips. Annabeth’s distance, in miles, from New York t hours after 12:00 p.m. is modeled by this function.

Answers

Charlie travelled greater amount of time.

What is function?

An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given:

D(t) = 60 |t- 3|

for, t=0

D(0) = 60*3 = 180

For t=1,

D(1) = 120

For t= 2

D(2) = 60

According to the data of Charlie and Annabeth it can bee seen that charlie had been travelling greater amount of time.

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Answer:

Charlie!

Step-by-step explanation:

14 ÷ 3/8
I need help plis :(​

Answers

Answer:

[tex]\frac{112}{3}[/tex]

Step-by-step explanation:

14 ÷ 3/8 = 14 • 8/3

= 112/3

Answer:

37 1/3

Step-by-step explanation:

use Keep Change Flip when dividing with fractions! :) It's helpful

for example: 14 ÷ 3/8

14 (keep as 14)

* (change to multiplication)

8/3 (flip the fraction)

14 times 8/3= 37 1/3

Heyy can someone help me ¿? ;-; is for today ;-;


Zuleima puts her pebbles on the table. Make groups of 3 and have 1 left. Then make groups of 5 and have 2 left. How many stones does Zuleima have?

Answers

Step-by-step explanation:

she has 3 because she make group of five n have one and then make a group of five and had two, so add two plus one it will give u three

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