Given f(x)=x^3+kx-4, and x-1 is a factor of f(x), then what is the value of k?

Answers

Answer 1

Answer:

3

Step-by-step explanation:

If x-1 is a factor, then x=1 is a solution. So:

0=1³+1k-4

1k=3

k=3 .........

Answer 2

For the given trinomial that has the factor (x -1), k = 1,

What is Polynomial?

A polynomial is a mathematical equation that solely uses the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are sometimes known as indeterminate in mathematics. Majorly used polynomials are binomial and trinomial.

Given a trinomial equation:

f(x)=x^3+kx-4

And also given it has a factor (x - 1)

Thus, at x = 1 the value of the f(x) will be 0

So,

f(x) = x^3 + kx - 4

f(1) = 1^3 + k*1 - 4

0 = 1 + k -4

k = 3

therefore, The value of k = 1 for the given Trinomial that has  the factor (x -1)

Learn more about Polynomials here:

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Related Questions


David buys last year's best-selling novel, in hardcover, for $15.30. This is with a 15% discount from the original price. What was the original price
of the novel?

Answers

Answer/Step-by-step explanation:

$15.30 * 0.15 = 2.295 or 2.30

15.30 + 2.295 = 17.595 or 17.60

The original price of the book is $17.60.

HELP! HELP! I never learned to count to ten, so I’ll just count to five and then. 1, 2, 3, 4, 5 outside, and then I’ll go and count/look again!

Answers

Answer:

6,7 8, 9,10

Step-by-step explanation:

those are the numbers after 5 in order

Answer:

6,7,8,9,10

six,seven,eight,nine,ten

Step-by-step explanation:

Hope this helps!!

Andrew has already played 32 minutes on his video game today and wants to play an additional 15 minutes each of x games after school today. What equation can be used to find y, the total minutes Andrew will play video games today?

Answers

Answer:

y = 15x+32

Step-by-step explanation:

Given

y to be the total minutes Andrew will play video games today

x is the total number of games played after school

If he wants to play an additional 15 minutes each of x games after school today, the total minutes he will use for the x games will be 15* x = (15x)minutes

We are told that he has initially spent 32minutes on video games. hence;

Total minutes Andrew used on games y = (15*x)+32

The required equation will be y = 15x+32

Solve this math problem first you get a free crown!

what is the sum of -7/18 and -3/6
A. -4/9
B. -8/9
C. 4/9
D. 8/9

Answers

Answer:

16/18

8/9

Step-by-step explanation:

the answer is B) -8/9

1000-322divided by 72% of 21983

Answers

Im guessing the equation you saying is (1000-322) / (72% of 21983)

When answering each of them, the equation was simplified to:

678 / 15827.76 = 0.04283613094????

Im guessing this is the wrong equation so just comment the right one and ill change it-

Trey recorded the number of ounces of water he drank each day in the histogram below.

Which of the following would be the best measure of variability?
A.
interquartile range
B.
mean
C.
median
D.
mean absolute deviation

Answers

When  Trey recorded the number of ounces so the best measure of the variability should be considered as the mean absolute deviation.

What is the mean absolute deviation?

The mean absolute deviation refer to the dataset which represent the average distance that lies between  every data point and the mean.

It provides the idea related to the variability arise in the dataset.

hence, The best measure of the variability should be considered as the mean absolute deviation.

learn more about mean here: https://brainly.com/question/8870962

chess club with 30 members is electing a new president. Yolanda received 27 votes. What percentage of the club members voted for Yolanda?

Answers

the answer is 90%, because 27/30 in percentage form is 90%.

Answer:

Step-by-step explanation:

90% of the chess club!

✨Hope it helps✨

✨Brainliest?

Graph y= -1/3 x+5 PLEASE HELP IF YOU ANSWER IT CORRECTLY I WILL GIVE YOU BRAINLIEST

Answers

Answer:

Graph is in the picture below

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

drdbbd

2m+11=-73 what number does m=?

Answers

Answer:

m=-42

Step-by-step explanation:

hope this helps:)

Answer:

-42

Step-by-step explanation:

Subtract 11 from both sides making it 2m=-84

Divide 2 from both sides making the expression m=-42

Find the y-value given the x-value: y = 2x + 10; x = 4*
y = 2x + 10; = 4

Answers

Answer:

y = 18

Step-by-step explanation:

y = 2(4) + 10

y = 8 + 10

y = 18

. Line / is shown on the graph below. If
another line is drawn, perpendicular to
line I, what must be its slope?
y
A. -3
B. 3
C. 0
D. undefined

Answers

What’s the 1st line slope
If the line is perpendicular to the other it would have the same slope

Sorry I can’t tell you the direct answer without the graph or the other line slope

Hopes this is helpful

The slope of the perpendicular line is -3, which is option A.

What is a slope?

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.

If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,

then the equation of a line is

y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)

To find the slope;

m =  (y₂- y₁) / (x₂ - x₁)

The given equation of the line is I: y = (1/3)x.

To find the slope of a line perpendicular to I, we need to take the negative reciprocal of the slope of I.

The slope of I is 1/3, so the slope of a line perpendicular to I is:

-1 / (1/3) = -3

Therefore, the slope of the perpendicular line is -3, which is option A.

To learn more about the slope;

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The complete question:

If another line is drawn, perpendicular to line I = y= 1/3x, what must be its slope?

A. -3

B. 3

C. 0

D. undefined

help please I don't know it ​

Answers

Answer:

3

Step-by-step explanation:

it's 3

I'm positive

I just did this

what is the expression in radical form? (5x^3 y^2) 2/8

Answers

Answer: (y^{2}x^{3}⋅5)/4

Step-by-step explanation:

Convert to Radical Form

    [tex](5x^3y^2)\frac{2}{8}[/tex]

Reduce the expression [tex]\frac{2}{8}[/tex] by cancelling the common factors.

Factor 2 out of 2.

    [tex]5x^3y^2\frac{2(1)}{8}[/tex]

Factor 2 out of 8.

     [tex]5x^3y^2 \frac{2(1)}{2(4)}[/tex]

Cancel the common factor.

     [tex]5x^3y^2 \frac{1}{4}[/tex]

Combine 5 and [tex]\frac{1}{4}[/tex].

     [tex]x^3y^2\frac{5}{4}[/tex]

Combine [tex]x^{3}[/tex] and [tex]\frac{5}{4}[/tex] .

     [tex]y^2\frac{x^3(5)}{4}[/tex]

Combine [tex]y^{2}[/tex] and [tex]\frac{x^3*5}{4}[/tex]

     [tex]\frac{y^2x^3*5}{4}[/tex]

Olivia can type 45 words every 2.5
minutes. What is the unit rate of words
per minute that Olivia can type?
What would be the rate of words per second?

Answers

Answer:

18 per min and 0.3 per second

Step-by-step explanation:

Per minut --> 45/2.5 = 18 words per minut

Per sec --> 2.5 mins*60 secs = 150 sec, then 45/150 = 0.3 words per second

Best regards

I need Geometry Tutor onna low but can anyone figure this out ?

Answers

Answer: angle 1 = 22 degrees

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

Work Shown:

x = measure of angle 1 = unknown

y = measure of angle 2 = 49

x+y = measure of angle PQS = 71

x+y = 71

x+49 = 71

x+49-49 = 71-49 .... subtract 49 from both sides

x = 22

angle 1 is 22 degrees.

Answer:

[tex]m \angle 1[/tex] = 49º.

Step-by-step explanation:

We are given that [tex]m\angle PQS[/tex] is 71º and [tex]m \angle 2[/tex] is 49º. Since [tex]m \angle 1 + m \angle 2[/tex] must equal [tex]m\angle PQS[/tex], we have that 49º + [tex]m \angle 1[/tex] = 71º. Therefore, [tex]m \angle 1[/tex] = 71º - 49º = 22º.

LA DISTANCIA ENTRE LA TIERRA YLA LUNA ES DE 384 392 KM. LOS AUSTRONAUTAS DE LA APOLO XL SALIERON EL 16 DE JULIO DE 1969 DESDE EL CENTRO ESPACIAL KENNEDY Y ALCANZARON LA ORBITA LUNAR EL 16 DE JULIO DE 1969.SUPONIENDO QUE CADA DIA RECORRIERON LA MISMA CANTIDAD DE KILOMETROS.¿CUANTOS KILOMETROS RECORRIERON POR DIA.

Answers

Complete question :

la distancia entre la tierra y la luna es de 384 392 km. Los astronautas de la Apolo XL salieron el 16 de julio de 1969 desde el Centro Espacial Kennedy y al alcanzaron la orbita el 19 de julio de 1969. Suponiendo que cada dia recorrieron la misma cantidad de kilometros cuantos kilometros recorrieron por dia

Responder:

128130,66 kilometros

Explicación paso a paso:

Dado que:

Distancia entre la tierra y la luna = 384,392 km

Tiempo empleado = (19 de julio - 16 de julio) mismo año = 3 días

Velocidad = distancia / tiempo

El tiempo empleado es (3 * 24) = 72 horas

Por lo tanto,

velocidad = 384,392 / 72

= 5338,7777 kilómetros por hora

Dado que se supone que la distancia recorrida diariamente es la misma m:

El número de kilómetros recorridos por día:

5338,7777 kilómetros por hora * 24

= 128130,66 kilometros

I need help someone help me plz

Answers

Answer:

the answer to x is 4

Step-by-step explanation:

.

Find the coordinates of the image of the point (3, 4) after it has been rotated by
180 degrees

Answers

Answer:

(-3,-4)

Step-by-step explanation:

Flip the coordinate across the graph since it is 180 degrees. (x,y) becomes

(-x,-y)

11 Karl takes a ride in a taxi and is charged $2.75 for the first of a mile. He is charged $0.25 for each
additional to
of a mile traveled and gives the driver a $3.50 tip. Explain how to determine the number of
miles that Karl can ride in the taxicab for a total of $28.50 including the tip. Show your work.


I WILL GIVE HIGH POINTS JUST PLEASE HELP SOON.

Answers

Answer: 89 miles


Explanation: We can make a linear equation given the problem, where 2.75 is the constant and 0.25 is the slope. M can represent miles 28.5 is what we want the equation to equal, so it will be on one side of the equation.

We can simply add the $3.50 tip to the constant to account for it

Thus we have 28.50=0.25m+6.25.

Solving for m gives us 89 miles.



This is pre calculas summation please help lol

Answers

Answer: 1  - 2 + 4 - 8 + 16

Step-by-step explanation:

Answer:

-1-2-4-8-16

Step-by-step explanation:

(-2⁰)+(-2¹)+(-2²)+(-2³)+(-2⁴)

-1-2-4-8-16

-31

There are some pencils and erasers in a
box. If there are 12 pencils and the ratio
of pencils to erasers is 3:2, how many
erasers are in the box?

Answers

Answer:

There are 8 erasers in the box

Step-by-step explanation:

given that the Ratio of pencils to erasers is  3:2

No matter how many pencils and erasers are there the ratio will simplify to the given ratio.

Let x be the number of erasers when there are 12 pencils

The ratio of 12 pencils to x erasers will be same 3:2

Putting it mathematically

[tex]\frac{pencils}{erasers} = \frac{pencils}{erasers}\\\frac{12}{x} = \frac{3}{2}\\12 * 2 = 3x\\3x = 24\\\frac{3x}{3} = \frac{24}{3}\\x = 8[/tex]

Hence,

There are 8 erasers in the box

tried taking a photo and fail but any ways 16 - 2t = 5t + 9

Answers

ooo among us!! i was just looking at some fan art of it.. also love your pfp! who is it? if u don't mind me asking I would love to watch the show if it.. or at least know the person :D

anyway.. happy day/night ~

t = 1 (I hope this helps)
16-2t=5t+9
+2t +2t
16=7t+9
-9 -9

7=7t

(Divide both sides by 7)

t=1

What was the range of the snowfall in Denver?

7.6 inches

9.2 inches

4.8 inches

5.4 inches

10 points pleas do not answer if u do not know

Answers

Answer:

9.2 but I am not sure because it shows that 8.5 so yeah

Step-by-step explanation:

HOPE THIS HELPS

Answer: Choice A) 7.6 inches

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

Explanation:

Check out the diagram below

In that diagram, I've marked the highest and lowest bars with red ink.

max = 8.4 inchesmin = 0.8 inches

The range is simply the difference of the highest and lowest values

So,

range = max - min

range = 8.4 - 0.8

range = 7.6

The answer is choice A.

Determine the unknown angle measures in the figure.

m∠ 1=

m∠ 2=

m∠ 3=

m∠ 4=

m∠ 5=

Answers

KEEP IN MIND THE TOTAL AREA OF A TRIANGLE IS 180 DEGREES

KEEP IN MIND A STRAIGHT LINE IS ALSO 180 DEGREES

Answer:

1- 80

2- 112

3- 131

4- 80

5- 37

Step-by-step explanation:

Choose Positive or Negative for each expression.

Answers

Answer:

A. negative

B. positive

C. positive

D. negative

hope this helps!

Step-by-step explanation:

Answer:

a. negative

b. positive

c. positive

d. negative

Step-by-step explanation:

a. (-4)(17)(-2)(-1)

-68(-2)(-1)

136 (-1)

-136

b. (-2)(-6)(1)

12(1)

12

c. (-5)(4)(-13)(2)

-20(-13)(2)

260(2)

520

d. [tex](-1)^{3}[/tex] or (-1)(-1)(-1)

1(-1)

-1

SOMEONE PLEASE HELP ME

Answers

Answer:

x=5 y=38

Step-by-step explanation:

180 degrees total minus the right angle (90) = 90... divide that by the two angels and its 45 each so for x; 45/3 = 5 for y; 45-7= 38

Answer:

y=−3x+83

x= −1 /3 y+ 83 /3

Step-by-step explanation:

right angles=90

triangles=180 degrees

180=3x+y+7+90

solve for x

3x+y+97=180

Add -y to both sides

3x+y+97+−y=180+−y

3x+97=−y+180

Add -97 to both sides

3x+97+−97=−y+180+−97

3x=−y+83

Divide by 3

x= −1 /3 y+ 83 /3

now solve for y

180=3x+y+7+90

Add -3x to both sides

3x+y+97+−3x=180+−3x

y+97=−3x+180

Add -97 to both sides

y+97+−97=−3x+180+−97

y=−3x+83

You have been working hard and saving money to buy your first used car - woo hoo! But you still need more money. (It's an expensive car!) You borrow $10,000 from the bank at a 9% rate for 5 years. How much interest will you pay on this loan? Write your answer as a number with no dollar sign.

Answers

Answer:

congrats for the car!

Step-by-step explanation:

Please help its geometry :( no one answer my question​

Answers

I think the answer would be 30 or 20 try that

For many of us, the thought of snow brings hopes of snow days, sledding or skiing. For others it means traffic jams and shoveling. Unfortunately for Roger's father, he is in this second category. It usually takes Roger's father 35 minutes to get to work. However, after the snowstorm it took him an hour and 15 minutes to get to work. What was the percent increase in his commute time to work? Express your answer to the nearest whole number.

Answers

Answer: 114%

Step-by-step explanation:

From the question, we are informed that it usually takes Roger's father 35 minutes to get to work but that after the snowstorm it took him an hour and 15 minutes to get to work.

We should first convert 1 hour, 15 minutes to minutes. Since 60 minutes = 1 hour; Therefore, 1 hour, 15 minutes = 60 minutes + 15 minutes = 75 minutes.

The percent increase in his commute time to work will then be:

= [(75 - 35) / 35] × 100

= 40/35 × 100

= 114.28571%

= 114%

The percentage increase is 114%.

5.Select all of the expressions that are equivalent to 8x - 12
(3 Points)
a.4(2x - 3)
b.-12x + 8
c.6x + 2x - 12
d.8(x - 1) - 4

Answers

Answer:

A

Step-by-step explanation:

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