Given f(x) = 3x^3 -5x + k, and x-2 is a factor of f(x), then what is the value of k?

Answers

Answer 1

Answer:

-14

Step-by-step explanation:

Given f(x) = 3x^3 -5x + k, and x-2 is a factor of f(x), then what is the value of k?

This is an interesting question, since I have to think I have ever seen a question like this asked before.

    3x³ - 5x + k   i'll try dividing by x-2  and adjust k so there is no remainder

                           3x² + 6x + 7

       x-2   |  3x³ + 0x² - 5x + k

                 3x³ - 6x

                          6x² -  5x

                          6x² - 12x

                                   7x  + k

                                   7x  - 14

                                            0    remainder is 0 if k = - 14

when I graphed   3x³ - 5x -14   and   (x-2)(3x² +6x +7)  the graphs were equivalent

                       


Related Questions

I NEED HELPI HAVE 5min

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Answer:

A - s^2

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Find the area of each regular polygon. Round your answer to the nearest tenth if necessary​

Answers

Answer:

Step-by-step explanation:

13). Area of a square = (Side)²

                                   = (BC)²

     Since, diagonals of a square bisect each other at 90°,

     ΔBOC is a right triangle.

     By applying Pythagoras theorem in the given triangle,

     BC² = OB² + OC²

     BC² = 2(OB)²

     BC² = 2(7√2)²

     BC = [tex]\sqrt{196}[/tex]

     Area of square ABCD = (BC)²

                                          = (√196)²

                                          = 196 units²

14). Measure of interior angles of the regular hexagon = 120°

     Area of the regular hexagon = [tex]\frac{3\sqrt{3}}{2}(\text{side})^2[/tex]

      From the given picture,

      m∠BAC = m∠ABC = m∠ACB = 60°

      Therefore, ΔABC is an isosceles triangle.

      And all sides of this triangle will be equal in measure.

      AB = AC = BC = 9 units

      Area of the given regular hexagon = [tex]\frac{3\sqrt{3}}{2}(9)^2[/tex]

                                                                 = 210.44 square units

                                                                 ≈ 210.4 square units

15!!!! POINTSS what is the mode in the data shown below

Answers

Answer is 20, hope this helps BRAINLIEST?
Here is the other answer so that you can give the person above me brainest

Find the probability that a randomly selected points within a square falls in the blue shaded area (circle)

Answers

Answer:

78.8 %

Step-by-step explanation:

From the question,

Area of the square = L²

A = L²

Where L = Length of the square.

From the diagram,

L = 4 in

Therefore,

A = 4²

A = 16 in².

Also,

Area of the circle (A') = πr²

Where r = radius of the circle.

Given: r = 2 in

Therefore,

A' = 22/7(2²)

A = 12.6 in²

Hence,

The probability that a randomly selected points within a square falls in the blue shaded area (Pr) = A'/A

Pr = 12.6/16

Pr = 0.7875

Pr(%) = 78.75

Pr(%) = 78.8 %

which sentence best describes percy's rectangle ​

Answers

Umm I would say birds of a feather flock together

The selling price of an item is ​$520. It is marked down by ​10%, but this sale price is still marked up from the cost of ​360$. Find the markup from cost to sale price.

Answers

Answer:

30%

Step-by-step explanation:

Answer: good luck

Step-by-step explanation:

what is it what is it what is it?!

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Answer:

1.0 g element will be remaining after 19 minutes

Step-by-step explanation:

Answer:

1.0 g element will be remaining after 19 minutes

Step-by-step explanation:

6. Sales associates at a local clothing
store earn a 2% commission on the
clothes they sell. If an associate earned
$50 in commission, what was the value
of her sales? Explain how you can
check your answer.
Answer quick PLZZ

Answers

Answer:

ask the internet this question sorry not being rude its becausd no ones answered it

x - (2x + 1) = 8 - (3x + 2)

Answers

Answer:

x=7/2

Step-by-step explanation:

Answer:

x=7/2

Step-by-step explanation:

x-(2x+1)=8-(3x+2)

x-2x-1=8-3x-2

-x-1=6-3x

+x on both sides

-1=6-2x

-6 on both sides

-7=-2x

7=2x

÷2 on both sides

7/2=x

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60 minutes is what percentage of 1 hour?​

Answers

Answer:

100%

Step-by-step explanation:

Answer: 100 is your answer hope this helped

plz make brainly

Step-by-step explanation:

Julio spent $21 on a magazine and five notepads. If the magazine cost $6, then how much was each notepad?

Answers

Answer:

3

Step-by-step explanation:

Answer is $3 ! 21-6=15 15/5=3

Find the volume of the given figure.

Answers

Answer:

5/18

Step-by-step explanation:

Volume= length•width•height

5/6•1/2= 5/12

5/12•2/3= 10/36= 5/18

Solve for x. round to the nearest then tenth. Please help!!!

Answers

Answer:

13.7

Step-by-step explanation:

Answer:

x=36

Step-by-step explanation:

22+x=58

22-22= cross that out

58-22= 36

x=36

38% of 60 is?
NEED HELP

Answers

Answer:

Step-by-step explanation:

38% of 60 = [tex]\frac{38}{100}*60 = 0.38*60 = 22.8[/tex]

Answer:

Step-by-step explanation:

38% * 60

[tex]\frac{38}{100} * 60\\\\\frac{38}{5} * 3\\\\114/5 = 22.8[/tex]

Math help help help answer all 4 pls

Answers

Answer:

a) 2,350,000,000

b) 25,000,000

c) B

Step-by-step explanation:

a) 2350 X 1,000,000 = 2,350,000,000

b) 25 X 10^6 = 25,000,000

c) sqrt(90000) =300

a) 2,350,000,000

b) 25,000,000

c) the square number is B

9 x 10^4 = 90,000 = 300^2

A cube root function has a turning point located at (-2,3). Write an equation that could represent this function

Answers

Answer:

f(x) = A*∛(x + 2) + 3

Step-by-step explanation:

Suppose a generic cube as:

f(x) = A*∛(x - b) + C

We will have a turning point at the x value:

x = b

Then if we have a turning point at (-2, 3)

This means that the turning point is at x = -2 and y = 3

Then b = -2

And our cube root function will be something like:

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f(x) = A*∛(x + 2) + C

And we know that f(-2) = 3

then:

f(-2) = A*∛(-2 + 2) + C = 3

f(-2) =  A*∛(0) + C = 3

      = C = 3

Then the general equation will be something like:

f(x) = A*∛(x + 2) + 3

Find the one of the following sets of side lenghts could represent a right triangle

Answers

Answer:

B

Step-by-step explanation:

Using the pythagorean theorem A^2 + B^2 = C^2 the only numbers that work are those in choice B. 8 short leg, 15 long leg, 17 hypotenuse.

8^2 + 15^2 = 17^2 = 64 +225=289 = 289=289 therefor proving these set of numbers are a right triangle.

The possibility of a power outage seems to grow every year because of demand and aging infrastructure. What can/should companies do to mitigate this risk?

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Girls are a waste of sperm

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Step-by-step explanation:

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Step-by-step explanation:

V=πr2h= π·42·8≈402.12386

Answer:

864 feet

Step-by-step explanation:

Plug numbers in

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Answer:

11

Step-by-step explanation:

am so smart

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Round your answer to the nearest cent, as necessary.

Answers

Answer 870.15

Step-by-step explanation:


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Answer:

The answer is above the solid line.

Step-by-step explanation:

Kim will paint all the faces of the outside of the storage trunk when it is closed. How many square feet will Kim paint?

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Answer:

Step-by-step explanation:

B i don’t know

Answer:

A

Step-by-step explanation:

There are 40 students in the 5th grade. 22 of them play soccer. What percentage of the students in the class do NOT play soccer? Please show work i need help

Answers

Step-by-step explanation:

If there are 40 kids and 22 of them play soccer that leaves you to subtract 22 from 40 which gives you 18. After that, you put the rest of the 18 students over a total of 40 and divide to get the decimal .45 and if you convert that into a percent you are left with 45%.

1. 40-22=18

2.18/40=.45

3.45=45%

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Answer:

the second answer is the answer

Just asking for the answer to this problem.

Answers

Answer:

371.26

Step-by-step explanation:

Using trig we can do tan(68)*5 to find the height of the parallelogram, after this we can do the height times 30 to find the answer

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use the model below to write and solve equation

Answers

Answer is:

X is 1, very simple

Take the function f(x)= square root of x+5 (then outside of square root) +1

And:
1. Reflect it along the x axis
2. translate it 4 units left
3. Translate it 3 units dow

What would be this functions NEW equation?

Answers

Reunited with 4 equals to 3

[tex]f(x) = - \sqrt{x + 5 + 4} + 1 - 3[/tex]

[tex]f(x) = - \sqrt{x + 9} - 2[/tex]

p-5 = 19
answer step by step & explain

Answers

Answer:

Step-by-step explanation:

Very simple.

p - 5 = 19

So to take out the -5 on that side, you must also do the same thing to the other side. So adding 5 in one side of the equal sign would mean you have to do the same thing on the other side of the equal sign.

SO:

p-5 +5 = 19+5

p = 24

P=26

26-5=19


(19+5 is also 26 so you can check your work that way)
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