The equation f(x)=3x can be written as x^3=k. Find the value of k

Answers

Answer 1

After solving the equation we get the value of k as ₋3, and also proved that the function is odd function.

Given the equation is  f(x) =x³₋(k₊3) x²₊3x

also we know that the f(x) is an odd function, then by definition we write

f(₋x) = ₋f(x)

f(₋x) = (₋x)³ ₋ (k ₊ 3)(₋x)² ₊ 3(₋x)

= ₋ [x³ ₋ (k ₊ 3)x² ₊ 3x] = ₋x³ ₊ (k ₊ 3)x² ₋ 3x

(₋x)³ ₋ (k ₊ 3)(₋x)² ₊ 3(₋x) = ₋x³ ₊ (k ₊ 3)x² ₋ 3x

₋x³ ₋ kx² ₋ 3x² ₋ 3x = ₋x³ ₊ kx² ₊ 3x² ₋ 3x

₋kx² ₋ 3x² = kx² ₊ 3x²

2kx² ₊ 6x² = 0

2k + 6 = 0

k = -3

Therefore, k has the result of reducing f(x) to x³ ₊ 3x. When we examine this function to check if it's an odd function, we see that

(₋x)³ ₊ 3(₋x) = ₋x³ ₋ 3x = ₋ [x³ ₊ 3x]

Hence the value of k is ₋3 and the function is an odd function.

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Your Question is incomplete. Please find the missing content here.

If f(x) =x³₋(k₊3) x²₊3x and if f is an odd function, what is k?


Related Questions

what is 21% of 12? explained

Answers

Answer: 2.52

Step-by-step explanation:

12 = 100% (1). x = 21% (2).

So 21% of 12 is 2.52%

Brainlest if you anwser correctly!, and 5 stars with a thanks :)

Answers

Answer: can u please clear the screen more? I will answer it just clear the screen please I can’t see it

Step-by-step explanation:

exponential decay ; .92%

At the beginning of the 7th grade, Martin was 50 inches tall. At the beginning of his 8th grade year, Martin was 58 inches tall. What was his percent of change from his 7th grade year to his 8th grade year? (sorry I forgot to add the answer choices) Anyways here they are-
A-13%
B- 14%
C- 16%
D- 18%

Answers

C the e e e eee e ee

Plzzzzzzzz answer this question!!!!:

Answers

Answer:

I want to say 12:50 pm but please tell me if I'm wrong

Lesson 1 ends at 8:45 + 1:00 so 9:45.

Lesson 2 ends at 9:45 + 1:00 so 10:45

Then there is the break so 10:45 + 0:15

Lesson 3 starts at 11:00

Lesson 3 ends at 11:00 + 1:00 so 12:00

Lesson 4 ends at 12:00 + 1:00 so 13:00

Please some-one help!
Given: m∠JNM =4x+6m ∠KNL = 7x−21
What is the m∠JNM ?

Answers

Answer:

x = 5

Step-by-step explanation:

If it's a number by itself then that's right cuz JNM and KNL is equal, so u do 4x + 6 = 7x - 21. When u do that, u get x = 5.

What is the solution to the equation 3x+1-6x=72

Answers

Answer:

hope this helps

Step-by-step explanation:

Answer:

=−71/3

Step-by-step explanation:3

+

1

6

=

7

2

{\color{#c92786}{3x}}+1{\color{#c92786}{-6x}}=72

3x+1−6x=72

3

+

1

=

7

2

{\color{#c92786}{-3x}}+1=72

−3x+1=72

2

Subtract

1

1

1

from both sides of the equation

3

+

1

=

7

2

-3x+1=72

−3x+1=72

3

+

1

1

=

7

2

1

-3x+1{\color{#c92786}{-1}}=72{\color{#c92786}{-1}}

−3x+1−1=72−1

3

Simplify

Subtract the numbers

Subtract the numbers

3

=

7

1

-3x=71

−3x=71

4

Divide both sides of the equation by the same term

3

=

7

1

-3x=71

−3x=71

3

3

=

7

1

3

−3−3x​=−371​

5

Simplify

Cancel terms that are in both the numerator and denominator

Divide the numbers

=−71/3

x=-\frac{71}{3}

x=−371​

If the sales tax rate is 5%, how much tax will you pay on a $35 sweatshirt? * 5 points
$36.75
$1.75
$35.75
$2.25

Answers

Answer:

$36.75

Step-by-step explanation:

You do 5% of 35 which equals 1.75 that’s your sales tax.

then add 1.75+35.00= 36.75

Last week’s and this week’s daily high temperatures are shown in the table below.

High Temperatures for This Week and Last Week
High Temperatures
This Week (Degrees Fahrenheit)

65

73

73

74

73

75

71
High Temperatures
Last Week (Degrees Fahrenheit)

68

51

62

66

85

72

72

How much greater is this week’s median temperature than last week’s median temperature?
2 degrees
3 degrees
4 degrees
5 degrees

Answers

Answer:

5 degrees

Step-by-step explanation:

This week in order:

65, 71, 73, 73, 73, 74, 75 (Median= 73)

Last week in order:

51, 62, 66, 68, 72, 72, 85 (Median= 68)

73-68 is 5

Answer:

5 degrees

Step-by-step explanation:

Each football costs the same amount, and each basketball costs the same amount. At the first store, the coach paid $110 for 5 footballs and 14 basketballs. At the second store, the coach paid $82.50 for 10 footballs and 6 basketballs. What was the cost in dollars of each basketball?

Answers

Answer:

$6.25

Step-by-step explanation:

Each football costs the same amount, and each basketball costs the same amount.

Let the cost of:

Footballs = f

Basketballs = b

Hence, we have the following system of equations

At the first store, the coach paid $110 for 5 footballs and 14 basketballs.

5f + 14b = 110

At the second store, the coach paid $82.50 for 10 footballs and 6 basketballs.

10f + 6b = 82.50

What was the cost in dollars of each basketball?

5f + 14b = 110..... Equation 1

10f + 6b = 82.50.....Equation 2

We solve using Elimination method.

Multiply Equation 1 by 10 and Equation 2 by 5 to eliminate f

50f + 140b = 1100.... Equation 3

50f +30b = 412.5.......Equation 4

Subtract Equation 4 from Equation 3

110b = 687.5

b= 687.5/110

b = $6.25

Therefore, the cost of one basketball in dollars = $6.25

Please helppppp :)))

Answers

Answer:

jrbfbfbfbxbcvdvdgv

Step-by-step explanation:

bvdbdhdhwofftreytugete

Write the addition modeled on the number line.

Answers

Hahahahahahahahahahahahah

Can someone help me with this problem?

Answers

Answer: 5:6

Explanation:

The 2 polygons are similar

So 25/30 = 25.5/30.6 = 5/6 or 5:6

expand the expression 7(x-2)

Answers

Answer: 7x-14

Step-by-step explanation:

7(x-2)

7x-14

Simplify the expression below.
2x – 4y + 6 + 3x – 9y – 4

Answers

Answer:

5x - 13y + 2

Step-by-step explanation:

Given: 2x – 4y + 6 + 3x – 9y – 4

Combine all like terms:

5x - 13y + 2

The solution of expression after simplification is,

⇒ 5x - 13y + 2

We have to given that,

An expression to simplify as,

⇒ 2x - 4y + 6 + 3x - 9y - 4

Now, We can simplify the expression by combining the like terms as,

⇒ 2x - 4y + 6 + 3x - 9y - 4

⇒ 2x + 3x - 4y - 9y + 6 - 4

⇒ 5x - 13y + 2

Therefore, The solution of expression after simplification is,

⇒ 5x - 13y + 2

Learn more about the mathematical expression visit:

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I need help please thank you

Answers

X = -4
double check by replacing x with -4

Answer:

The correct answer is x = -4

Step-by-step explanation:

Step 1: 8x + 1 = -31 <----- This is the original equation.

Step 2: 8x + 1 - 1 = -31 - 1 <----- Subtract 1 from both sides.

Step 3: 8x = -32 <----- Simplify

Step 4: 8x/8 = -32/8

             x = -4

Hope this helps! :D

pls help me!!
Which two equations are equivalent?
y= 1/2x+3
y=x+6
2y=x+6

Answers

Answer:

first and third

Step-by-step explanation:

Consider

y = [tex]\frac{1}{2}[/tex] x + 3 ( multiply through by 2 )

2y = x + 6 ← third equation

Answer:

the first and last equation

Step-by-step explanation:

Rewrite 3x - 2y = 18 in slope-intercept form, identify the
slope and y-intercept, then graph it Show your work.

Answers

y=3/2x-9 Slope 3/2 y-intercept (0,-9). When asked to show work put “Rise/Run method” and for the graphing use Deimos graphing calculator. Just put in y=3/2x-9.

select all which are equivalent to:
5^1/3 x 25^1/3

Answers

Note:

You missed adding the answer options.

But, I am solving the given expression to determine its equivalent so that you could get an idea and could easily determine all the options which would be equivalent to the result we would get.

Answer:

[tex]5^{\frac{1}{3}}\:\times 25^{\frac{1}{3}}=5[/tex]

Step-by-step explanation:

Given the expression

[tex]5^{\frac{1}{3}}\times \:25^{\frac{1}{3}}[/tex]

[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^mb^m=\left(ab\right)^m[/tex]

[tex]5^{\frac{1}{3}}\times \:25^{\frac{1}{3}}=\left(5\times \:25\right)^{\frac{1}{3}}[/tex]

               [tex]=125^{\frac{1}{3}}[/tex]

[tex]\mathrm{Factor\:the\:number:\:}\:125=5^3[/tex]

               [tex]=\left(5^3\right)^{\frac{1}{3}}[/tex]

[tex]\mathrm{Apply\:exponent\:rule}:\quad \left(a^b\right)^c=a^{bc}[/tex]

               [tex]=\left(5^3\right)^{\frac{1}{3}}=5^{3\times \frac{1}{3}}=5[/tex]

Thus,

[tex]5^{\frac{1}{3}}\:\times 25^{\frac{1}{3}}=5[/tex]

The person, who is 5 feet tall, wants to calculate the height of the flagpole. Use proportions to solve the problem. Show your work.​

Answers

Answer:

15 ft

Step-by-step explanation:

using geometry, we can find that the triangles are proportional, so if 8:24::5:15. 24/8=3, so do 5×3

please help asap! i’m confused so please explain

Answers

Answer:

C

Step-by-step explanation:

Use SOHCAHTOA

to find h we will choose cos due to Adj is 8 and Hypotunse is h

cos 45 = 8/h

h= 8/cos 45

h = 11.3137

in surd form is 8root 2

USE A CALCULATOR TO CONFIRM FROM THE ANSWERS USING THE DECIMALS YOU GOT AS ANSWER

What value of x is in the solution set of 2x-3 > 11 - 5x?
OOOO
4
Mark this and return
Save and Exit
Next
Submit

Answers

2x-3 > 11 - 5x
2x + 5x > 11 + 3
7x > 14
x > 14/7
x > 2

Answer:

x>2

Step-by-step explanation:

2x -3>11-5x

=2x+5x>11+3

=7x>14

=7x÷7>14÷7

=x>2

1
Select the correct answer.
A wooden board that is 108 inches long is cut into two equal parts. What is the length of each part in feet? (feet: Inches = 4:12)
OA. 0.45 feet
OB.
4.5 feet
9 feet
OD. 54 feet
Reset
Next
Oh

Answers

Answer:

B. 4.5

Step-by-step explanation:

108 divided by 2 = 54

54 feet into inches is 4.5

will give brainliest if answered *correctly** picture attached

Which relationships have the same constant of proportionality between yyy and xxx as the following graph?


Choose 3 answers:

Choose 3 answers:


(Choice A)

A

y=0.25xy=0.25xy, equals, 0, point, 25, x


(Choice B)

B

y=8.2xy=8.2xy, equals, 8, point, 2, x


(Choice C)

C



(Choice D)

D

xxx yyy

333 121212

444 161616

555 202020


(Choice E)

E

xxx yyy

666 1.51.51, point, 5

777 1.751.751, point, 75

888 222

Answers

Answer:

A, C, E

Step-by-step explanation:

The required relation whose constant of proportionality matches with the constant of proportionality given in the graph.

Given that,
A curve is shown in the graph, it is to be determined that the constant of proportionality of the curve matches one of the curves given in the options.

What is proportionality?

Proportionality is defined as between two or more sets of values, and how these values are related to each other in the sense that are they directly proportional or inversely proportional to each other.

Here,
Constant of proportionality  for the given function,

y/x = 2 / 8 = 0.25

Since the constant of proportionality of the functions mentioned in Option A, C and E matched with the given graph.

Thus, the required relation whose constant of proportionality matches the constant of proportionality is given in the graph.

Learn more about proportionality here:
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how far apart were her highest and lowest scores​

Answers

Answer:

effort and studying were her highest and lowest scores because studying look for the book many get complete

ASAP PLEASE HELP WILL MARK AS BRAINLIST HELP

Answers

Answer:

38 degrees

Step-by-step explanation:

corresponding angles are equal

Skylar works at a car dealership and earns a commission
on every car she sells. Monday she sold a car for
$14,500 and earned a commission of $942.50. What is
Skylar's commission rate for each car she sells?

Answers

Answer: 6.5%

Step-by-step explanation:

rate of commission, r is :

942.50/14500=0.065

0.065*100=6.5

Match each positive or negative value with the situation that describes it

Answers

Answer:

1.) -10

2.) 10

3.) -27

4.) 27

5.) -8

6.) 8

all you need is in the photo ​

Answers

Answer:

It is the second one (It's decreasing by five feet per hour.)

Step-by-step explanation:

Thanks for the points!

Stay safe and healthy!

Happy holiday seasons!

Answer:

the water level decreases by 5 feet per hour

Step-by-step explanation:

firstly the bar is going downwards, hence ,making a loss, decrease etc

so 1st and 3rd are out

initially we had 30ft of water

after

1 hr = 25 ft

- 5 ft decreased

2hrs = 20 ft

- 5 ft decreased again from the previous time checked

3hrs = 15 ft

- 5 ft decreased 1 hr ago

hence the water level decreases by 5 feet per hour

i require help (why this stuff so hard)

Answers

Answer:

x should be -3

Step-by-step explanation:

f(x) = 5/3x + 10

f(-3) = (5*-3)/3 + 10

f(-3) = -15/3 + 10

f(-3) = -5 + 10

f(-3) = 5

g(x) = -2x - 1

g(-3) = -2(-3) - 1

Negatives cancel out

g(-3) = 2(3) - 1

g(-3) = 6 - 1

g(-3) = 5

5 is equal to 5, so x should be -3 in this case.

HELP I am really confused and this is an easy question

Answers

Answer:

It is corresponding Angle

Step-by-step explanation:

Plz mark brainliest

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