1. when the expression x^3+ 2kx+2 is divided by x+2, the remainder is less than the remainder when the expression is divided by x+1 find the value of k. help plz​

Answers

Answer 1

Answer:

let the polynomial be

f(x)=x³+2kx+2

is divided by

g(x)=x+2

hence

(x+2) is a factor of f(x)

so comparing with x-a we get a=-2

so

f(a)=0

f(-2)=(-2)³+2*-2*k+2

0=-8-4K+2

4k=-6

K=-6/4

k=-3/2

again

when divided by x+1

g(x)=x+1

hence

x+1 is a factor

so a=-1

f(-1)=-(1)³+2*-1*k+2

0=-1-2k+2

0=1-2k

k=1/2

The value of k is 1/2 when divided by x+1

and

K =-3/2 when divided by x+2


Related Questions

WILL AWARD BRANLIEST !!!Triangle JKL was dilated with the origin as the center of dilation to create triangle J'K'L'. The triangle was dilated using a scale factor of 1/2.


The lengths of the sides of triangle JKL are given.


Enter the lengths of the sides of triangle J'K'L' below.

(Decimal values may be used.)


JK=6 units


J'K'= _units

KL=10.5 units


K'L'= _units

LJ=12 units


L'J'= _ units

Answers

The lengths of the new triangle after dilation are; J'K' = 3; K'L' = 5.25 and L'J' = 6

How to carry out dilation of triangles?

When it comes to dilation in transformations, it could mean enlarging or reducing the triangle by a scale factor.

Now, we are given the lengths of the original triangle as;

JK = 6 units

KL = 10.5 units

LJ = 12 units

Thus, the dilation by a scale factor of 1/2 indicates a reduction. Thus, the new lengths after dilation are;

J'K' = (1/2) * 6 = 3

K'L' = (1/2) * 10.5 = 5.25

L'J' = (1/2) * 12 = 6

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Which expression is a sum of cubes

Answers

Answer: what is the rest of the question?

Step-by-step explanation:

The following figures are parallelogram. find X and y​

Answers

Answers:  x = 3 and y = 13

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

Explanation:

For any parallelogram, the diagonals always cut each other in half.

This means the pieces that are y+5 and 18 cm long are equal

y+5 = 18

y = 18-5

y = 13

And so are the pieces that are x+y and 16 cm long

x+y = 16

x+13 = 16

x = 16-13

x = 3

Side note: the term "bisecting" is often used when saying "cutting in half".

please help i will give brainliest (check both images)

Answers

Answer:

Amanda's box holds more popcorn.

Amanda's box holds 70 m³ more than Mary's.

Step-by-step explanation:

Find the volume of both boxes.

13.5 x 10 x 10 = 1350.

20 x 8 x 8 = 1280.

As clearly shown, Amanda's box holds more popcorn.

To find how much more, subtract 1,280 from 1,350 to get 70 m³.

Hope this helps!

If there is something wrong, please let me know.

Help me ASAP please!!!

Answers

Answer:

85 inches²

Step-by-step explanation:

Each triangle equals 15 inches

15(4)=60

Square= 5×5=25

60+25=85 inches²

Please help me I honestly have zero clue how to answer this question

Answers

Step-by-step explanation:

[tex]n = 3 \times 5 {}^{2} \times {x}^{3} [/tex]

Square both sides of the equation.

[tex]{n}^{2} = (3 {}^{2} \times 5 {}^{4} \times {x}^{6} )[/tex]

[tex]5 {n}^{2} = 5(3 {}^{2} \times {5}^{4} \times {x}^{6} )[/tex]

In a jail cell, there are 5 Democrats and 6 Republicans. Four of these people will be
chosen for early release. How many 4-person groups are possible?

Answers

two because there is 11 people in total and you have two 4 person groups so that would leave 3 people left and you cant make a 4 person group w 3 people

Combination is a way of arranging the required items from a collection of items where the order of selection is not relevant.

If in a jail cell, there are 5 Democrats and 6 Republicans, the possible ways to form a group of 4 is 330.

The number of possible groups is 330.

What is combination?

Combination is a way of arranging the required items from a collection of items where the order of selection is not relevant.

It is given as:

[tex]^nC_r = \frac{n!}{r!(n-r)!}[/tex]

We have,

The total number of people:

5 Democrats and 6 Republicans = 5 + 6 = 11.

The number of persons in a group = 4.

The number of groups possible are:

= [tex]^{11}C_4[/tex]

= 11! / 4! ( 11-4)!

= 11! / 4! 7!

= 11 x 10 x 9 x 8 / 4 x 3 x 2

= 330

Thus,

The number of possible groups is 330.

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A triangle has asides of 7cm, 24cm, and 25cm. how can you tell whether it is the right triangle?.

( If you can answer this I will take you on my brain list)

Answers

Answer:

because it has 7 cm a helper of right angle triangle and me can also use phythogorreas triplet formula

This is a right angle! It cropped out but the long end would be 25.

The mayor is interested in finding a 95% confidence interval for the mean number of pounds of trash per person per week that is generated in city. The study included 120 residents whose mean number of pounds of trash generated per person per week was 31.5 pounds and the standard deviation was 7.8 pounds.

Round your answers to two decimal places.

A. The sampling distribution follows a ______ distribution.

B. With 95% confidence the population mean number of pounds per person per week is between_____ and_____ pounds.

C. If many groups of 120 randomly selected people in the city are studied, then a different confidence interval would be produced from each group. About_____ percent of these confidence intervals will contain the true population mean number of pounds of trash generated per person per week and about________ percent will not contain the true population mean number of pounds of trash generated per person per week.

Answers

Answer:

A. Normal

B. 30.1, 32.9

C. 95, 5

Step-by-step explanation:

A. The sampling distribution follows a normal distribution

Given that the sample size is large, we have that the sample distribution follows a normal distribution according to the central limit theorem

B. The 95% confidence interval is given as follows;

[tex]CI=\bar{x}\pm z \times \dfrac{s}{\sqrt{n}}[/tex]

The number of residents in the study, n = 120 residents

The sample mean, [tex]\overline x[/tex] = 31.5 pounds

The standard deviation, s = 7.8 pounds

The z-value for 95% confidence level, z = 1.96

Therefore, we get;

C.I. = 31.5 ± 1.96 × 7.8/√(120)

The 95% C.I. ≈ 30.1 ≤ [tex]\overline x[/tex] ≤ 32.9

Therefore, we have that with 95% confidence, the population mean number of pounds per person per week is between 30.1 and 32.9

C. Therefore, according to the central limit theorem, about 95 percent of the groups of 120 will contain the true population mean number of pounds of trash generated per person per week and about 5 percent will not contain the true population mean number of pounds of trash generated per person per week.

What is the factored form of

Answers

Answer:

C

Step-by-step explanation:

You can distribute the values or even plug in x=2 and see which one matches.

A rectangle is twice as long as it is wide. Its width is 51⁄2 cm. Find the area of the rectangle.

Answers

Step-by-step explanation:

The are of rectangle is 1300.5cm2

Make a documentary on the “Journey of Coronavirus” OR Conservation of Plants and Animals. Give an appropriate name for your documentary.

PLSS REPLY FAST

Answers

Answer:

Explanation is as follows;

Step-by-step explanation:

Fundamentals to Plant and Animal Preservation

Plants and animals are the foundation of life on Earth; it is critical to protect them from extinction by maintaining a healthy population that contributes to global biodiversity, or the variety of flora and wildlife.

Everyone in the area must actively participate in planting additional trees and preventing countless trees from being chopped down. Deforestation is the practise of chopping down trees and making a forestland barren and unsuitable for animals and birds to live in.

Find the volume of this square based pyramid. 5 cm 5 cm 5 cm. Round to the nearest tenth.

V=?cm3

Answers

Answer:

41.666 cm³ or 41.7 cm³  rounded to the nearest tenth.

Step-by-step explanation:

Volume of a square pyramid = base length² × height ÷ 3

25 × 5/3 = 41. 666

Have a great day:)

Answer:

41.7

Step-by-step explanation:

It says to ROUND which will get you 41.7

A lottery has a grand prize of 25and 1/2 million dollars. There are 5 people who have winning tickets and they share this prize equally. How many millions of dollars does each person get? Express the answer as a mixed number.

Answers

Answer:

5 1/10 million dollars

Step-by-step explanation:

25and 1/2 million dollars = 25 1/2 million dollars

= (25*2) + 1 / 2

= 50+1/2

= 51/2

Total prize = 51/2 million dollars

Number of people with winning ticket = 5

How many millions of dollars does each person get?

Amount of prize each person get = Total prize / Number of people with winning ticket

= 51 / 2 ÷ 5

= 51/2 × 1/5

= (51 * 1) / (2 * 5)

= 51/10

= 5 1/10 million dollars

Amount of prize each person get = 5 1/10 million dollars

Find the length of side x in simplest radical form with a rational denominator.
45
4
45
x
Answer: =
Submit Answer

attempt 1 out of 2
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Could I get some help with this

Answers

Answer:

x=2*sqrt(2)

Step-by-step explanation:

cos(theta)=Base/Hypotenuse

cos(45)=x/4

x=2*sqrt(2)

an umbrella is made by stitching 10 triangular pieces of cloth of two different colours where each pieces measuring 48cm,48cm,and 30cm. find cost of required to make umbrella at rate of 5paisa per square cm.
help plz plz .......

Answers

Given:

An umbrella is made by stitching 10 triangular pieces of cloth.

Each pieces measuring 48cm,48cm, and 30cm.

To find:

The cost of required to make umbrella at rate of 5 paisa per square cm.

Solution:

Area of a triangle is:

[tex]A=\sqrt{s(s-a)(s-b)(s-c)}[/tex]

Where,

[tex]s=\dfrac{a+b+c}{2}[/tex]

Each pieces measuring 48cm,48cm, and 30cm. So,

[tex]s=\dfrac{48+48+30}{2}[/tex]

[tex]s=\dfrac{126}{2}[/tex]

[tex]s=63[/tex]

Area of one triangular piece is:

[tex]A=\sqrt{63(63-48)(63-48)(63-30)}[/tex]

[tex]A=\sqrt{63(15)(15)(33)}[/tex]

[tex]A=\sqrt{467775}\text{ cm}^2[/tex]

[tex]A\approx 683.9408\text{ cm}^2[/tex]

Area of 10  triangular pieces is:

[tex]10\times 683.9408=6839.408\text{ cm}^2[/tex]

The rate is 5 paisa per square cm. So, the total cost is:

[tex]6839.408\times 5=34197.04[/tex]

Therefore, the total cost is 34197.04 paisa.

-8 is a term? im wondering o homework

Answers

Answer:

Maybe

Step-by-step explanation:

If there is a number in a equation, and you can add/subtract with your number, -8, then yes, otherwise, no.

If it is -8 by itself then it would not be a term. It would be an integer. However, if -8 is with other terms like -8 + x or -8 < x then, yes it is a term.

Kylee manages a small theme park and she has been analyzing the attendance data. Kylee finds that the number of visitors exponentially as the tempature increases, and this situation is represented by the function f(x) = 4 ^ x Kylee also finds a linear equation that no deals the number of people who leave the park early depending on the change in temperature , and it is represented by f(x) = - x + 5. The graph of the two functions is below. Find the solution to the two functions and explain what the solution represents.

Answers

Answer:

(1 , 4)

Step-by-step explanation:

f(x) = 4^x ,where x is the temperature, and y or f(x)  is the number of visitors that come to the park

f(x) = -x +5 , where x is the temperature and, y or f(x) is the number of visitors that leave early

the solution of the system of equations is the point of intersection of the 2 graphs and is (1,4)

when the temperature is 1 will have 4 visitors who will come at the park and also leave early

How do you fix a uneven face in a month?

Tips

Answers

Answer:

I know this may not help but

Step-by-step explanation:

Fillers. Inserting a “soft filler” into your face by way of an injection may correct the appearance of facial asymmetry. ...

Facial implants

Rhinoplasty

these are the top ideas I have searcehd online although it may not look good in a month if your going with Rhinoplasty

Your dentist may be able to help.

The total cost of a vacation package is ​$1,242 for the Smith family. If there are 6 family​ members, what is the cost for each family member? *

Answers

Answer:

$207

Step-by-step explanation:

We do 1242 / 6 = 207

It costs $207 for each family member.

Answer:

207 each

Step-by-step explanation:

Take the total cost and divide by the number of family members

1242 / 6

207 each

4 over 5 in standard form

Answers

Answer:0.8

Step-by-step explanation:

it is basically 10 times 8 to the power of -1

John leaves his house at Sam. It
takes 35 minutes to walk to
school. He then has 2 hours and 2
minutes of lessons. Break time is
15 minutes long, What time does
break finish?

Answers

Answer:

7:52am

Step-by-step explanation:

John leaves by 5:00am

He gets to school after 35 minutes

The time now is 5:00 + 0:35 = 5:35am

After 2 hours and 2 mins of lectures, the time is 5:35 + 2:02 = 7:37am

After 15 minutes, the time is 7:37 + 0:15 = 7:52am

Therefore the answer is 7:52am.

Shelley drove from New Haven, Connecticut, to New York City in 90 minutes. Which equation relates the distance she traveled to her speed?

a.distance = speed + 90
b.distance = speed × 90
c.distance − speed = 90
d.distance × 90 = speed

Answers

Answer:

b

Step-by-step explanation:

d = r * t

None of them are really correct, but the closest one is B. Look at the equation. Rate is multiplied by time. The result is distance.

The 90 minutes should be changed to hours.  No speedometer on a car is rated in feet per second.

In how many ways can alice give 12 apples to 3 children if each child must get at least 1 apple

Answers

You can give four apples to each child

There are 91 ways in which Alice can give 12 apples to 3 children, with each child receiving at least 1 apple using a combination formula.

The question can be solved using  a method called "stars and bars".

Now, we need to find the number of ways to arrange 12 stars and 3 bars. The number of ways to arrange 12 stars and 3 bars in the given formula:

Number of ways = (n + k - 1) choose (k - 1)

Where n is the total number of objects = 12

k is the number of groups =  3

Number of ways = (12 + 3 - 1) choose (3 - 1)

Number of ways = 14 choose 2

The combination formula can be used as:

Number of ways = {14!}{(2! [tex]\times[/tex] (14 - 2)!)}

Number of ways = 14! / (2! * 12!)

Number of ways = (14 * 13) / 2

Number of ways = 91

So, there are 91 ways in which Alice can give 12 apples to 3 children, with each child receiving at least 1 apple.

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Can someone help me with these 2 answers

Answers

Answer:

2. Side length =9

Step-by-step explanation:

A square has all sides equal. and it has 4 sides, so 36 divided by 4 =9.

3.x squared =6

answer is x=3

square root both sides.

2. The side length is 9

all perfect numbers from 20 to 30

Answers

Answer:

There is only one perfect number between 20 to 30 which is 28.

Explanation:

The number 28 is a perfect number because its factors are 1, 2, 4, 7, 14 and 28.

What number is 22 ten-thousandths more than 1 1/2?

Answers

Answer:

1.50000

.00022

1.50022

Step-by-step explanation:

The number 22 ten thousandths more than [tex]1\frac{1}{2}[/tex] is 1.5022.

Given that, 22 ten-thousandths and [tex]1\frac{1}{2} =\frac{3}{2}[/tex].

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let x be the unknown number.

Now, x-22/10000 = 3/2

⇒ x-0.0022=1.5

⇒ x=1.5+0.0022

⇒ x=1.5022

Therefore, the number 22 ten thousandths more than [tex]1\frac{1}{2}[/tex] is 1.5022.

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Question 18 A block has a volume of 12 cm3 and a density of 25 g/cm. Calculate the mass.​

Answers

Answer:

300 g

Step-by-step explanation:

Mass = volume * density

Mass  = 12*25 = 300 g

Answer:

300 g

Step-by-step explanation:

density = mass / volume

25g/cm^3 = mass / 12 cm^3

25 * 12 = mass

300 = mass

In the diagram below, DE is parallel to XY. What is the value of y
122
O A. 78
B. 112
O C. 122
D. 58
The correct is 122

Answers

we need the diagram pic, otherwise we cant solve your problem.

The required in the diagram of parallel lines is the value of y is 122°.

What are parallel lines?

Parallel lines are defined as identical lines with identical orientations, parallel lines never intersect each other but meet at infinity.

Here

Given that DE is parallel to XY, we can conclude that corresponding angles are equal and vertically opposite angles are also equal. Therefore, x is equal to 122° (because vertically opposite angles are equal). Moreover, x and y are equal to 122° (because corresponding angles are equal). Hence, the value of y is also 122°.

Thus, the required in the diagram of parallel lines is the value of y is 122°.

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PLEASEEEE HELP, how do i draw this ?

Answers

Answer:

              /   -  -  - - - - - - -- - -  -

            /                                     \

        /                                           \

      /                                                \  _________

   /

_/

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