Determine the value of k for which the graph of y=kx^3 pass through the point (-2,1)

Answers

Answer 1

Answer:

[tex]\displaystyle k = -\frac{1}{8}[/tex]

Step-by-step explanation:

We are given the equation:

[tex]\displaystyle y = kx^3[/tex]

And we want to determine the value of k such that the graph passes through the point (-2, 1).

Hence, when x = -2, y = 1. Substitute:

[tex]\displaystyle (1) = k(-2)^3[/tex]

Simplify:

[tex]\displaystyle 1 = -8k[/tex]

Hence:

[tex]\displaystyle k = -\frac{1}{8}[/tex]


Related Questions

approximate √80 by using perfect squares. 80 is between which two perfect squares.​

Answers

Answer:

8.94

Step-by-step explanation:

√ 80 is between perfect squares √64 and √81

or between 8 abd 9.

the approximate value is 8 + (80-64)/(81-64) =

8 + 16/17 = 8 + 0.94 = 8.94

The value of √80 is 4✓5 and it's between two perfect square 4 and 9

What are perfect squares?

A square number or perfect square is an integer that is the square of an integer; in other words, it is the product of some integer with itself. For example, 9 is a square number, since it equals 3² and can be written as 3 × 3.

Examples of perfect squares include 4, 9 , 16 , 25 e.t.c

The value of √80 is calculated by using perfect square.

√80 = √ 16 × √5

= 4√5

Therefore we can say that the value of √80 is 4√5 and these value is between two perfect square 4 and 9.

learn more about perfect squares from

https://brainly.com/question/27307830

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What is the equation of the graphed line written in
standard form?
3
2
1
O 2x - y = -4
O 2x - y = 4
OY=2x - 4
-5-3-2-1
1 2 3 4 5
2
Ov=2x-4
الله لا

Answers

Answer:

semoga jawapan ini dapat membantu

The equation of the line in standard form is 2x - y = 4

How to find the equation of a line

The equation of a line in standard form is expressed as Ax + By  = C

Get the slope of the line passing through (2, 0) and (0, -4)

Slope = -4/-2
Slope = 2

GThe y intercept of the line is -4

Get the equation

y = 2x - 4

y - 2x = -4
-2x + y = -4
2x - y = 4

Hence the equation of the line in standard form is 2x - y = 4

Learn more on equation of a line here: https://brainly.com/question/13763238

Find the value of x, given that mangle PQS = 110°.
Round the answer to one decimal place if necessary.

72+10x

(gotta find value for X)

Answers

90+10x



(value of x)

So the answer is 90.8°



The correct answer would be 88.5° because 72 + 10X = 90 + X and then you have to subtract that from 110 degrees. (110 - 90 = 20, 20 / 2 = 10, so you add 10 to both sides of the equation)



110-90=20

20/2=10

10+X=10

X=0.5°

110-90+0.5 = 20.5 and that answer is rounded up to 21°

(The reason it is not rounded down to 20° is because 10/2 is 5 but you don't add it to 10 so it would be rounded down)

So the answer is 88.5°



X=88.5 ° Note: "That" in that mangle PQS = 110 ° does not refer to the answer x and therefore should be omitted. Example: Given mangle PQS = 110 °, find the value of x.



Answer: 90.8° (rounded up to the nearest degree)

Note: In free response questions, typically one decimal place is needed in the answer even if no decimal places are given in the question. For example, 1/3 is 0.33333..., and the answer is 0.3 (not 0).



88.5° should be rounded up to 90° because you add 72 + 10x which equals 90 + x and then you subtract that from 110 degrees which gives you 20 degrees. Then 20/2 = 10 so that's when you add 10 to both sides. 110 - 90 + 0.5 equals 20.5 but since 10/2 is 5 and you add that to 10 so it's now 29.5 which means you have to subtract 15 from both sides of the equation (since you can't subtract half a degree) which leaves you with 14.5 degrees, which rounds up to 15 degrees. So the answer is 88.5°.

So the correct answer should be 90°

Add. Write your answer in simplest form.
5 1/5 + 4 3/5 =
A. 10 1/5
B. 9 2/5
C. 10 4/5
D. 9 4/5
PLEASE HELP AND EXPLAIN THANK YOU

Answers

Answer:

d. 9 4/5

Step-by-step explanation:

5+4=9

1/5+ 3/5=4/5

So then you'll get 9 4/5

Can someone help me with this one!

Answers

Since RS is half of RT you’d divide 52.4 by 2 to get RS= 26.2

to which sets of numbers does 1 1/2 belong to

Answers

Answer:

A rational number because it's negative it can't be natural and cuz it's fraction it can't be whole nor integers.

p.s. thanks to salma1148 for the answer

The ratio of blue marbles to green marbles if there are 10 blue marbles for every 3 green marbles - YEAR 6

Answers

Answer:

10 blue marbles : 3 green marbles

Step-by-step explanation:

5. It took Kiara 35.25 minutes to finish her chores on Saturday, while it took her brother Derek
357 minutes to finish his chores. Which sibling finished their chores the fastest?

Answers

Kiara I hope that helps

Kiara finished their chores the fastest.

Here,

Kiara 35.25 minutes to finish her chores on Saturday, while it took her brother Derek 357 minutes to finish his chores.

What is minimum time?

Minimum Time Requirement means the minimum number of days the assignment must last before the employee may be compensated at the higher rate.

Now,

Kiara takes 35.25 minutes to finish her chores on Saturday.

And, Her brother Derek take 357 minutes to finish his chores.

⇒ 357 minutes = 5 hours 57 minutes

Clearly,

35.25 < 357 minutes

Hence, Kiara finished their chores the fastest.

Learn more about the minimum time visit:

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The graph of y = f(x) is graphed below. What is the end behavior of f(x) ?

Answers

Answer:

The first option, as x approaches infinity, y approaches infinity and as  x approaches negative infinity, y approaches negative infinity

Step-by-step explanation:

In 2003, the population of an African country was about 23.5 million people, which is 3 million more than 5 times the population in 1950. Enter and solve an equation to find the approximate population p (in millions) in 1950. An equation is . The approximate population in 1950 was million people.

Answers

Answer:

Step-by-step explanation:

An equation is 5p + 2 = 18.5.

The 1950 population was approximately 3.3 million.

Step-by-step explanation:

If p  million was the population in 1950 the equation is:

5p + 2 = 18.5

5p = 16.5

p = 16.5 / 5

p =  3.3 million.

g(x)-x^3+5x, f(x)-4x+5 find g(x)+f(x)

Answers

Answer: x³ + 9x + 5

Concept:

When given two functions and asked to find their sum, the process would be simply adding the expressions together to get the answer.

Solve:

**Disclaimer** I assumed the [-] as [=]. If it was, then you may refer to my answer. If it was not, then you may tell me and I'll redo it.

Given information

g(x) = x³ + 5x

f(x) = 4x + 5

Given expression

g(x) + f(x)

Substitute values into the expression

x³ + 5x + 4x + 5

Combine like terms

x³ + (5x + 4x) + 5

[tex]\boxed{x^3+9x+5}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

plz help assap!!!!!!​

Answers

Answer:

3y = 60°, 2y = 40° ,     4x = 104°, x = 26°, y = 50°

Step-by-step explanation:

Triangle g

180° = 80° + 3y + 2y

100° = 5y

y = 20°

Triangle h

y = 180° - 130°

y = 50°

180° = 4x + x + 50°

130° = 5x

x = 130 / 5

x = 26°

Heeeeelpppp this is important

Answers

Answer:

1) 3.8

2) 2.4

3) X=3 and i'm sure about the rest of the problem. Sorry

Step-by-step explanation:

1. I added the two measurements together.

2. I took the length of the bottom then subtracted the bottom length by the top length

3. I just took 12 and divided it by 4 which is 3

Use the Elimination method and solve 4x+6y=3 and -10x-15y=-4

Answers

Answer:

No Solutions

Step-by-step explanation:

Multiply the first equation by 5,and multiply the second equation by 2 to get a least common multiple for the x's.

5(4x+6y=3)

2(−10x−15y=−4)

It becomes:

20x+30y=15

−20x−30y=−8

Add these equations to eliminate y:

0=7

Answer:

No solutions.

There lies_________ rational numbers between 3 & 6 *​

Answers

Answer:

Number 3.14 is rational number

Write the equation of the line described

Answers

Step-by-step explanation:

slope = x factor = - 5/2

Perpendicular slopes must be opposite reciprocals of each other:  m1 * m2 = –1

New slope = 2/5 = m

y = mx + b

from the point given y = 2 | x = -4

2 = (2/5 × -4 ) + b

2 = - 1.6 + b

b = 3.6

line equation

[tex]y = \frac{2}{5} x + 3.6[/tex]

A man bought 300pen at Rs6 each of them sold them at Rs 90 per dozen. find his profit​

Answers

I hope this help you

The integers between -3 and 5

Answers

Answer:

-2,-1,0,1,2,3,4

Yoooo help me outttt

Answers

Answer:

P Coordinate = (4, -2)

Anyone know what this is?

Answers

Answer:

OMG, admiro mucho a los de EEUU un gusto Soy de Perú que queda en Latinoamérica, discúlpame por responder tu tarea solo quería saludar losiento :(

What's 3.8888888888... as a fraction? show work please help

Answers

Answer:

[tex]\dfrac{35}{9}[/tex]

Step-by-step explanation:

[tex]3.\overline{8}\\\\=3+\dfrac{8}{9} \\\\=\dfrac{27}{9} +\dfrac{8}{9} \\\\=\dfrac{35}{9}[/tex]

BD=x+9 EB=x ED=31 find BD and EB

Answers

Answer: EBD = EB + BD31 = t + t+931 = 2t+922 = 2tt=11EB=11 and BD=20

Please the awnsers to Find x

Answers

Because 120° and (2x-10) are on opposite sides, they are equal. You can set 120 equal to 2x-10 (120=2x-10). Then cancel out 10 on each side by adding 10 (130=2x). After that, you want to take the 2 and divide 130 by it to give you 65. (65=x)

The answer to find X is 65

(geometry) i would appreciate help please

Answers

Answer:

63

Step-by-step explanation:

We are taking a dilation of 3, so that means we are multiplying by 3. We multiply 3 to 21 to get 63.

63 would be the answer. :)

I need the answer to this question

Answers

Answer:

y = 3/4x + 19/2

Step-by-step explanation:

m = 3/4. point (-6,5)

Point slope form:

y-5=3/4(x- -6)

y -5 = 3/4x + 18/4. 18/4 = 9/2

Y = 3/4x + 9/2 + 5. 5 times 2 plus 9 over 2 = 19/2

y = 3/4x + 19/2


the sum of seventeen and a number

Answers

Step-by-step explanation:

let the number be a

so,

17+a

Answer:

17+x

Step-by-step explanation:

let the number be x then according to the question,17+xI hope this will help you..please mark my answer as BRAINLIEST...............

(I’ll brainlist)


Every year the bank charges you 5% interest (money they take as payment for the loan)

1) so the first year they charge you:

2) your total loan for the first year is:

Answers

Answer:

Your question is not complete as you have not mentioned the loan amount ,

As By simple intrest formula ,

A = PRT

we didn't know the principal (loan) amount so you have to pay

A = 0.05P

pls help me fast! i need help!

Answers

Answer:

heres the answer with work

You are driving on a
highway that has a speed
mit of 55 miles per hour
How far you will
travel in 5 Hours?

Answers

Answer:

275 miles

Step-by-step explanation:

55 * 5 = 275

fhfuguhohitydtdihojo

Stephen belongs to a movie club in which he pays an annual fee of $39.95 and then rents DVDs for $0.99 each. In one year, Stephen spent $54.80. How many DVDs did he rent? If possible, can you give me the equation and solution as well?

Answers

15 dvds hope this makes sense
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