Given f(x)= 2x^3+kx-1, and x+1 is a factor of f(x), then what is the value of k?

Answers

Answer 1

Answer:

put x=-1, and the rest will be easy

Answer 2

If x + 1 divides f(x), this means x = -1 is a root of f(x), i.e. f(-1) = 0. Plugging in x = -1 gives

f(-1) = 2 (-1)³ + k (-1) - 1 = -3 - k = 0

Solve for k; you end up with k = -3.


Related Questions

A shirt was originally priced at $80. The store is having a 25% off sale. How much will you pay for the shirt after the discount (not including tax)​

Answers

$60

hope it helps...!!!

HELP PLEASEE!!!

A prism is filled with 25 cubes with 1/2-unit side lengths. What is the volume of the prism in cubic units?

Answers

Answer:

3.125 cubic unit i guess

Answer:

3.125 unit cube is the answer i hope i helped u

Now that you know how to identify and utilize these formats, consider the following scenario: You have been contacted by a client whose wedding you have photographed. They want to create an online photo album where they will share their photos with their friends and family. They ask you to send them the photo files so that they can do this. In which type of format would you save the photographs, and which other considerations would be necessary to take?

Write an answer in three to five sentences that explains how you would fulfill this client request and the format you would choose to fill that request. Feel free to provide links to images that support your idea.

Answers

For the request of the client who wants his wedding photos to create an online album for his family and friends, the most suitable format would be JPG.

What is the format of a file?

When we work with digital files in technological devices we can find different formats for our files, these formats include images, videos, audio, texts, among others.

Formats exist to differentiate files and specify which programs can open and modify these files. In the case of images, files are generally created in JPG, PNG or other formats.

Therefore, the most appropriate file to send these photos to the client would be JPG because they are not so heavy and have a good definition. In addition, what we must do is create a folder on a cloud storage page and share it with the client so that they have unlimited access to the photos.

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A random sample of people were surveyed on their favorite sport, as shown in the table below sorted by the respondent’s age.

What percent of the people between the ages of 21 and 34 prefer other sport and/or hate sports? Round your answer to the nearest tenth of a percent.

Answers

Answer:

22.5%

Step-by-step explanation:

The total of people surveyed between 21-34 is 40 and the total number who prefer other or hate sports is 9 so the percent is 9/40 which is equal to  2.25. Multiply this number by 100 to get it as a percent and you have 22.5%

22.5% of the people between the ages of 21 and 34 prefer "Other/Hate Sports."

What is Percentage?

Percentage is a way of expressing a fraction or a portion of a whole as a value out of 100. It is denoted by the symbol "%". Percentages are used to represent proportions, ratios, or rates in a more easily understandable and comparable form.

To find the percentage of people between the ages of 21 and 34 who prefer other sports and/or hate sports, we need to calculate the proportion of the total respondents in that age group who have chosen "Other/Hate Sports."

The table shows that there are 9 people between the ages of 21 and 34 who prefer "Other/Hate Sports" out of a total of 40 respondents in that age group.

So, Percentage = (Number of people with the preference / Total number of respondents in the age group) x 100

= (9 / 40) x 100

= 22.5%

Therefore, 22.5% of the people between the ages of 21 and 34 prefer "Other/Hate Sports."

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I am between 18 x 20 and 780 ÷ 2. I am a multiple of 9, and I am even. Who am I?​

Answers

Answer:

378

Step-by-step explanation:

18 times 20 is 360

780 divided by 2 is 390

9 times 40 is 360 needs to be over 360

9 times 41 is 369

9 times 42 is 378 only even number

9 times 43 is 387

9 times 44 is 396 needs to be under 390

What do you think equilateral means??

Answers

Answer:

an equilateral is a shape that has equal/even sides. All measurements that are made will be equal to each other whether it is the length of the side or the degree an angle has.

Hope this helps! :D

Answer:

Equilateral - All sides are equal. For example, in an equilateral triangle all of the sides are equal in length.

HELP PLEASE I HAVE A TIME LIMIT
the net for a pentagonal prism has 7 regions and 10 vertices. use Euler's formula to find the number of segments

Answers

Using the Euler's formula, the number of segments in the pentagonal prism is: 15.

What is the Euler's Formula?

The Euler's formula is given as,  F + V = E + 2, where:

F = number of faces (number of regions)V = verticesE = number of edges (number of segments).

Given that the pentagonal prism has the following dimensions:

F = 7V = 10E = number of segments = ?

Plug in the values into the Euler's formula, F + V = E + 2:

7 + 10 = E + 2

17 - 2 = E

E = 15

Therefore, using the Euler's formula, the number of segments in the pentagonal prism is: 15.

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Use the calculator to find the product. (9.1 × 109)(7.5 × 102) what is the exponent of the power in scientific notation?

Answers

Answer:= The exponent is 12

Step-by-step explanation:(9.1 × 10^9)(7.5 × 10^2)

When multiplying terms in scientific notation, we multiply the numbers in front and add the exponents

(a* 10^b) (c* 10^d) = ac * 10^(b+d)

(9.1 × 10^9)(7.5 × 10^2) = (9.1*7.5) * 10^(9+2)

                                                =68.25 * 10^11

But this is not proper scientific notation.  We can only have 1 number in front of the decimal.  We need to move the decimal 1 place to the right.  That adds 1 to the exponent.

=68.25 * 10^11  = 6.825 * 10^(11+1)

                           = 6.825 * 10^12

The exponent of the power in the scientific notation of the result of the expression (9.1 × 10^9)(7.5 × 10^2) is 12

How does scientific notations work?

The number is written in the form [tex]a \times 10^b[/tex] where we have [tex]1 \leq a < 10[/tex]

The number b shows the order, which is the most important figure for which scientific notation is used. It tells us how much order large or small a value is in powers of 10. We can for a time, ignore the value of 'a' for two comparable quantities and only compare their orders(this type of comparison is useful when difference is too big, like size of human to size of a star etc sort of comparisons).

Scientific notations have some of the profits as:

Better readability due to compact representationIts value in terms of power of 10 is known, which helps in easy comparison of quantities differing by a large value.

Expressing the multiplication of (9.1 × 10^9)(7.5 × 10^2) in terms of scientific notation, we get:

[tex](9.1 0\times 10^9)(7.5 \times 10^2) = 9100000000 \times 750 = 6825000000000\\(9.1 0\times 10^9)(7.5 \times 10^2) = 6.825 \times 10^{12}[/tex](the exponent is 12)

Thus, the exponent of the power in the scientific notation of the result of the expression (9.1 × 10^9)(7.5 × 10^2) is 12

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The equation tan(30 degrees)=5/b can be used to find the length of AC.
What is the length of AC? Round to the nearest tenth.

Answers

Answer:

[tex]\huge\boxed{\sf b = 8.7 \ cm}[/tex]

Step-by-step explanation:

Given equation:

[tex]\displaystyle tan (30 \textdegree) = \frac{5}{b}[/tex]

We have to find b.

tan 30° = 0.6

[tex]\displaystyle 0.6 = \frac{5}{b} \\\\Multiply \ b \ to \ both \ sides \\\\0.6 \times b = 5 \\\\Divide \ 0.6 \ to \ both \ sides\\\\b = \frac{5}{0.6} \\\\b = 8.7 \ cm \\\\\rule[225]{225}{2}[/tex]

What decimal part of £1 is 40p?

Answers

Answer:

1/40 as a decimal is 0.025.

A spinner and 4 cards are shown below:

A spinner with 5 equal sectors is shown in the figure. The colors Green, Blue, Purple, Yellow, and Red are marked on it. The arrow points at the purple color. Four cards are shown on the right side. The colors Red, Yellow, Blue, and Pink are marked on them.

Jane spins the spinner and selects a card without looking. What is the probability that the spinner stops at purple and a pink card is selected?

1 over 20
1 over 5
1 over 4
9 over 20

Answers

Answer:

1 over 20

Step-by-step explanation:

Given that:

a spinner and 4 cards

A Spinner ⇒ 5 equal sectors;Color: Blue,Purple,Yellow,Red,Green

Arrow point at purple

Four cards ⇒ Color : Red,Yellow,Blue,Pink

Jane spins the spinner & selects card without looking.

To Find - Probability spinner stops at purple & select pink card.

Solve:

Multiply 4 (the number of cards) with 5 (The number of equal sectors)

[tex]\frac{1}{5}\times\frac{1}{4}=\frac{1}{20}[/tex]          {1 × 1 = 1}    {5×4=20}

~lenvy~

Answer:

1 over 20

Step-by-step explanation:

Given the following:

1 spinner and 4 cards

A Spinner which has 5 equal sectors;Color: Green, Blue,Purple,Yellow,Red.

{Arrow point at purple}

Four cards ⇒ which color are Red,Yellow,Blue,Pink

Jane spins the spinner & selects card without looking.

To Find →  Probability spinner stops at purple & select pink card.

Since, purple and pink only has one in each of Spinner/card

Thus,

Spinner (5 equal sectors - 1/5}

Card {4 cards - 1/4}

1/4 × 1/5 = 1/20

Hence, probability spinner stops at purple & select pink card is [A] 1/20

[RevyBreeze]

Can someone please help me with this questions I would really appreciate it thank you !!

Answers

Answer:

C

Step-by-step explanation:

C as well have a good day

4 1/3-1 1/4
Estimate the answer by rounding each fraction to the nearest whole number and then subtracting.
A. 5
B. 3
C. 3 1/2
D. 3 1/12

Answers

Answer:

D. 3 1/12

Explanation:

[tex]\rightarrow \sf 4\dfrac{1}{3} -1\dfrac{1}{4}[/tex]

convert into improper fraction

[tex]\rightarrow \sf \dfrac{13}{3} -\dfrac{5}{4}[/tex]

make the denominators same. 12 is the common factor of both 3 and 4

[tex]\rightarrow \sf \dfrac{13(4)}{12} -\dfrac{5(3)}{12}[/tex]

simplify

[tex]\rightarrow \sf \dfrac{52}{12} -\dfrac{15}{12}[/tex]

join both fraction

[tex]\rightarrow \sf \dfrac{52-15}{12}[/tex]

simplify

[tex]\rightarrow \sf \dfrac{37}{12}[/tex]

convert into mixed fraction

[tex]\rightarrow \sf 3\dfrac{1}{12}[/tex]

) Neena buys books and puzzles at a yard sale. The price of a book is the same as the price of a puzzle. She spends $15.The situation can be represented by the graph and system of equations shown, where b is the price of each book and p is the price of each puzzle. What is the price of each book? What is the price of each puzzle?​

Answers

Answer:

Each one 7.50 :)

Step-by-step explanation:

When we add, we can solve this!

7.50 + 7.50 = 15

Have an amazing day!!

Please rate and mark brainliest!!

Answer:

Each costs $7.50

Step-by-step explanation:

Given

1 book and 1 puzzle costs $15Both have the same cost

Solving

If they cost the same, divide the whole cost by the number of items (2)$15/2 = $7.50 [cost of a book/puzzle]

Will give BRAINLY AND FIVE STARS and A THANKS

Answers

Answer:

7 to 49

Step-by-step explanation:

The patterns here are clear, a number times 7. 7 x 7 is 49 so this could be an equation to submit.

Answer:

k = 7h.

Step-by-step explanation:

Each value of k is 7 times the value of h.

So k = 7h.

A box of breakfast cereal is 20 centimeters long, 7.5 centimeters wide, and 30 centimeters high. what is the volume of the box

Answers

Answer:

70 cubic feel. 3. Abox of oat cereal measures 24 centimeters long by 5 centimeters wide by 25 centimeters high.

Step-by-step explanation:

70 cubic feel. 3. Abox of oat cereal measures 24 centimeters long by 5 centimeters wide by 25 centimeters high.

hurry !!! not much time left

Answers

The correct answer would be:

-10x + y = 4

10x - y = -4


Can you help me with this problem please

Answers

Answer:


7 units



Explanation :


Check out my work that I’ve attached



Let me know if you have any questions!


Have a nice rest of your day :)

Clare asks Andre to play the following number puzzle:

Pick a number
Add 2
Multiply by 3
Subtract 7
Add your original number
Andre’s final result is 27.
Which number did he start with?

Answers

Answer:

The answer is 7.

Step-by-step explanation:

7 + 2 is 9.

9 x 3 =27

27 - 7 =20.

Since the original number is 7 then we add 7 to 20.

7 + 20 = 27.

So, the number he started with is 7.

Find x.
Round to the nearest tenth:
31°
у
X
400 ft
x = [ ? ]ft

Answers

Answer:

x = 466.7 fty = 240.3 ft

First find the inner angle:

90° - 31°59°

using sine rule:

[tex]\sf sin(x)= \dfrac{opposite}{hypotensue}[/tex]

[tex]\hookrightarrow \sf sin(59)= \dfrac{400}{x}[/tex]

[tex]\hookrightarrow \sf x = \dfrac{400}{sin(59)}[/tex]

[tex]\hookrightarrow \sf x = 466.6533[/tex]

[tex]\hookrightarrow \sf x = 466.7[/tex]   ( rounded to nearest tenth )

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

using tan rule:

[tex]\sf tan(x)= \dfrac{opposite}{adjacent}[/tex]

[tex]\hookrightarrow \sf tan(59)= \dfrac{400}{y}[/tex]

[tex]\hookrightarrow \sf y= \dfrac{400}{ tan(59)}[/tex]

[tex]\hookrightarrow \sf y= 240.344[/tex]

[tex]\hookrightarrow \sf y= 240.3[/tex]

Answer:

y = 466.7 ft (nearest tenth)

Step-by-step explanation:

Using the Alternate Interior Angle Theorem
the angle inside the triangle that is opposite the side [tex]y[/tex] is 31°

Using the cos trig ratio:

[tex]\sf cos(\theta)=\dfrac{A}{H}[/tex]

where:

[tex]\theta[/tex] is the angleA is the side adjacent the angleH is the hypotenuse

Given:

[tex]\theta[/tex] = 31°A = 400 ftH = [tex]x[/tex]

Substitute given values and solve for x:

[tex]\sf \implies cos(31)=\dfrac{400}{x}[/tex]

[tex]\sf \implies x=\dfrac{400}{cos(31)}[/tex]

[tex]\sf \implies x=466.7\:ft\:(nearest\:tenth)[/tex]

a phone call from a pay phone cost $3.18 for a 10 minute call. what is the cost per minute for the call?

Answers

Answer:

$0.318 per minute

Step-by-step explanation:

3.18/10 = 0.318

3.18 divided by 10 equals 0.318

Answer:

3.18 cents per minute

Step-by-step explanation:

318 cents / 10 minutes = 3.18 cents per minute

Einstein's theory of Relativity E=mc²​

Answers

Einstein went on to present his findings mathematically: energy (E) equals mass (m) times the speed of light (c) squared (2), or E=mc2. The secret the equation revealed—that mass and energy are different forms of the same thing—had eluded scientists for centuries.

Answer:

Einstein went on to present his findings mathematically: energy (E) equals mass (m) times the speed of light (c) squared (2), or E=mc2.

The secret the equation revealed—that mass and energy are different forms of the same thing—had eluded scientists for centuries. 

×

E=mc2

In Einstein's first paper about energy and mass, E=mc2 doesn't actually appear anywhere—he originally wrote the formula as m=L/c2. What happened? Einstein was using "L" (for Lagrangian, a general form of energy) instead of "E" for energy. Later, he replaced "L" with "E," rearranged the variables, and the famous form of the equation emerged.

The implications of E=mc2 are profound. For centuries, scientists had considered energy and mass to be completely distinct and unrelated to each other. Einstein showed that in fact, energy and mass are different forms of the same thing. Einstein himself was surprised by the finding, calling it "amusing and enticing" and wondered "whether the Lord is laughing at it and has played a trick on me."

Which pair shows equivalent expressions?
2x+10=-2(x-5)
-2(x+5)=2x-10
-2x-10=-2(x-5)
-2(x-5)=-2x-10

Answers

Answer:

-2(x-5)=-2x-10 = -20

or

-2(x-5)=-2x-10 = 20

Megan played 5 Sudoku games that were at medium
difficulty level. The mean completion time per game
was 5.9 minutes. She completed a sixth Sidoku game
in 2 minutes and 54 seconds. Which of the following
statements must be true about the changes between
Megan's completion times for the 6 games and her
completion times for the 5 games?
A) The mode of the 6 completion times decreased.
B) The median of the 6 completion times remained
the same.
C) The mean completion time per game for the
6 games increased by 2.9 minutes.
D) The mean completion time per game for the
6 games decreased by 30 seconds.

Answers

D but im not sure about it

A rectangular pool is 10 meters wide and 16 meters long.What is the area of the pool? What is asked?What are given?What is/are the operations to be used?What is the number sentence?What is the answer?​

Answers

Answer:

A=160 m

Solution:The formula for the Area of a rectangle is:A=LWIn the above formula, L stands for the length and W stands for the width.We are given:L=16 mW=10 mWe are asked to find the area of the rectangular pool.The operation that we're going to use here is:Multiplication.Multiply:A=16*10A=160 m

Hope it helps.

Do comment if you have any query.

What is the area of the pool?

- area: 160 m²

What is asked?

- Asked to find the area of the rectangular pool.

What are given?

- Given with width of the pool is 10 metres and length is 16 metres.

What is/are the operations to be used?

- multiplication

What is the number sentence?

- 10 * 16

What is the answer?​

- area: 160 m²

Additional ===========

area of rectangle = Length * Width

Brianna’s teacher asks her which of these three expressions are equivalent to each other. Expression A: 9x−3x−4 Expression B: 12x−4 Expression C: 5x+x−4

Answers

Answer:

expression a and c

Step-by-step explanation:

A. 9x-3x-4 = 6x-4

C. 5x+x-4 = 6x-4

hope this helps

Answer:

Expression A and C

Step-by-step explanation:

When Expression A is simplified it is 6x - 4. And for Expression C you add 5x and x, and then it’s 6x - 4. That makes them the same expression. So your answer would be Expression A and C.


I hope it helps! Have a great day!

Muffin ^^

Find X and y

12, 16

Answers

Answer:

x = 6√2y = 6√6

Step-by-step explanation:

The triangles are all similar, so corresponding sides are proportional.

__

x

  long side/short side = x/6 = 12/x

  x² = 72 . . . . . . . multiply by 6x

  x = 6√2 . . . . . . take the square root

__

y

  hypotenuse/long side = y/12 = (12+6)/y

  y² = 216 . . . . . multiply by 12y

  y = 6√6 . . . . . take the square root

The square root of 180 is
between which 2 integers?

Answers

Answer:

13 and 14.

Step-by-step explanation:

The square root of 180 is 13.416407865. Therefore, the two integers (or whole numbers) that it falls in between is 13 and 14.

-------------------------------------------------------------------------------------------------------------

I hope this helps

-No one

Megan is in charge of creating a five-digit code to lock and unlock a secure room. She can use any digit from 0 through 9, and she can use each digit as many times as she wants. She knows she wants to start the code with a 7.

How many possible codes that start with 7 could Megan create?


10,000 codes

70,000 codes

100,000 codes

700,000 codes

Answers

Answer:

The Answer Is 10,000 Codes

Proof :

Answer:

10,000

Step-by-step explanation:

Took k-12 quiz

help me with this math question pls​

Answers

What's the question???

Answer:

Question Please

Step-by-step explanation:

I will solve it

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