Given f(x)= 2x4 + 6x3 – 10x2 + kx – 10, for what value of k is (x - 1) a factor of f(x)?​

Answers

Answer 1

Answer: mannn i dunno either i’m tryna figure out the same thing

Step-by-step explanation:

Answer 2

The value of k in the expression is equal to 2.

What is cubic polynomial?

The expression is in the form of Cubic polynomial. A cubic polynomial is the one which can be written in the form y = ax³ + bx² + cx + d where a, b, c and d are coefficients and x, and y are independent and dependent variables respectively.

here, we have,

given that,

The cubic polynomial,

f(x) = 2x^4 + 6x^3 – 10x^2 + kx – 10 ,has a factor equal to (x-1).

If it is the factor, then x = 1 is the solution of cubic polynomial

and at x = 1 the value of f(x) = 0.

2x^4 + 6x^3 – 10x^2 + kx – 10 = 0

2(1)^4 + 6(1)^3 – 10(1)^2 + k(1) – 10 = 0

2 + 6 -10 + k = 0

k - 2 = 0

=> k = 2, which is the required value.

Hence, The value of k in the expression is equal to 2.

Learn more about cubic polynomial at:

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Related Questions

Put these fractions in order of size, smallest to largest.
3/5
5/6
1/3

Answers

Answer:

1/3, 3/5, 5/6

Step-by-step explanation:

I’m sorry if it’s wrong or if my handwriting is bad

Help me please!!!!!!!!!

Answers

Answer:

8

Step-by-step explanation:

24/3=8

Need help ASAP
Will make you brainlist
Can someone help me graph it and to tell me where to put it?

Answers

Answer:

the vertical line (y) has positive and negative numbers, those are your y-intercepts, make a dot on -1 on that line

from the dot that you plotted you have to go down 5 so you will be at -6 and then you will go right 4 times so your coordinate will be (4,-6)

Step-by-step explanation:

StartFraction 27 Over 9 EndFraction = StartFraction 18 Over x EndFraction
a.
x = 9
c.
x = 6
b.
x = 18
d.
x = 3

Answers

Answer:

Justification of step A: common denominator

Justification of step B: multliplication property of equality

Step-by-step explanation: i got it right

Help hurry and thank u if u do

Answers

50%

This is because we add up the money Jim, Jane and Bryn which was 10, 45 and 10. This equals to 65.

And half of $130 is 65 which means it is 50%

Answer: Jim raised %8.3

Step-by-step explanation: Well the total amount raised was $120 dollars, Jim raised $10 of that $120. Therefore jim raised %8.3 percent of the earned income.

Help me please please

Answers

Answer:

-1  1/2

Step-by-step explanation:

d(4) = 1/12 · (4 - 1) · (-6)

d(4) = 1/12 · 3 · (-6)

d(4) = 3/12 · (-6)

d(4) = 1/4 · (-6)

d(4) = -6/4 or -3/2

This composite object is made of a 10-cm cube on top of a 20-cm cube.
Determine its surface area.

A-2800 cm
B-2500 cm
C-2900 cm
D-3000 cm

Answers

the answer is A

20•20•5=2000
10•10•5=500
400-100=300

2000+500+300

Solve Problem: James works 40 hours at $12 an hour, plus time-and-a-half for overtime. How much is his pay for 10 hours of overtime?

Answers

Answer:

Rate for over time = $12 and a half rate of $12, that is 12+ 12/2 =12+6= $18 per hour. We need to find the total pay for 40 hours of regular time and 10 hours of overtime. Pay for 40 hours at the rate $12 per hour = 40 × 12 = $480.

Step-by-step explanation:

Answer:

Step-by-step explanation:

if 12 dollars/hour is regular pay

12+6=18 dollars/ hour overtime

10h overtime=18*10=180 dollars

PLEASE HELP!
graph the following equations: y=-4

Answers

Answer:

A solid horizontal line across -4. I've attached a picture of the graph down below

Step-by-step explanation:

Since there is no independent variable (x) in the equation, the dependent variable does not change and stays the same.

In other words, no matter what x is, y will always be -4.

In picture form, that would be a solid horizontal line across -4, since slope is 0 and y is unchanging.

Wildhorse's Fish Company buys whole salmon from various fishermen at $3 per pound and sells the fish to restaurants for $8 per
pound. Its fixed costs are $49,200 per month
How many pounds must be sold to break even, and how many pounds must be sold to earn a profit of $23,900 per month? (Use
contribution margin per unit to calculate answers.)
Number of pounds to be sold to break even
pounds
Number of pounds to be sold to earn a $23,900 profit
pounds

Answers

It would be 69 because if it is both m + f they would make 69

Need help with this there’s a picture so you can see!

Answers

Answer:

[tex]x = 9[/tex]

Step-by-step explanation:

Given

[tex]\angle S = 45[/tex]

[tex]\angle U = 4x - 1[/tex] --- (not clear but that is what I'm able to read)

[tex]\angle Q = 100[/tex]

Required

Find x

From the attachment, the corresponding angles of both triangles are equal:

This implies that:

[tex]\angle P = \angle S = 45[/tex]

[tex]\angle U = \angle R = 4x - 1[/tex]

[tex]\angle Q = \angle T = 100[/tex]

Apply angle sums property

[tex]\angle S +\angle T +\angle U =180[/tex]

This becomes

[tex]45 + 4x - 1 +100 = 180[/tex]

Collect like terms

[tex]4x= 180-45-100+1[/tex]

[tex]4x= 36[/tex]

[tex]x = 9[/tex]

find the value of x

Answers

Answer:

Step-by-step explanation:

we know that the sum of these two angles=180 degrees

5x/2 +125=180

5x/2=180-125=55

5x/2=55

5x=55*2

5x=110

x=110/5=22

x=22

What’s 6 as a percent ?

Answers

Answer:

6%

Step-by-step explanation:

Multiply the decimal version of 6, which is 0.06 by 100. You'll get 6%

To turn a whole number to a decimal, just 6 ÷ 100 = 0.06.

Assume that the readings on the thermometers are normally distributed with a mean of 0 and standard deviation of 1.00C. A thermometer is randomly selected and tested. Draw a sketch and find the temperature reading corresponding to P94 ​, the 94th percentile. This is the temperature reading separating the bottom 94% from the top 6%. What is the approximate temperature for P94?

Answers

Answer:give her brainlist she is right

Step-by-step explanation:

Six more than seven times a number is thirty-four. Give equation and find
number (variable).

Answers

Answer: 4

Step-by-step explanation:

7n + 6 = 34

6 - 6 = 0

34 - 6 = 28

7n = 28

7/7

28/7 = 4

The answer is 28/7=4

if a=-1, b=2, c=0 find the value of 2a²+6-2b+4c

Answers

Answer:

4

Step-by-step explanation:

2(-1)²+6-2(2)+4(0)

2+2+0

4

Translate (4,3) to the left 3 units. Then reflect the result over the y-axis. What are the coordinates of the final point?

Answers

Translation left 3 units: subtract 3 from the original x coordinate --> 4-3=1
Reflection across y-axis: change the sign of the x coordinate --> 1 => -1
Final answer: (-1, 3)

three times a number plus twice the number is the opposite of twenty

Answers

3x+2x=12

hope it is the answer ❤❤❤❤❤

Which option below is a preventive measure against ID fraud or theft? a. Make purchases through the mail only. b. Never reveal personal information to a stranger. c. Carry personal information in your wallet or purse. d. Use the phone to transfer personal information.​

Answers

Answer:

b. Never reveal personal information to a stranger

Step-by-step explanation:

From the options listed the only one that is a preventative measure is never revealing personal information to a stranger. Identity theft happens when an individual with malicious intent obtains your personal information. With this information they can open accounts in your name, steal your money, ask for loans etc. The best way to prevent this from happening is making sure that all your personal data is stored in a safe place that only you have access to and that has security measures in place. Aside from this the only real preventive measure is being very careful who you speak to about this information. Make sure that the individual absolutely needs to know this information and is an accredited individual from whatever employment company they are from.

The option that is a preventive measure against ID fraud or theft is; B: Never reveal personal information to a stranger

What is considered to be an ID Theft or fraud?

The correct option that is a preventative measure against ID fraud or theft is never revealing personal information to a stranger.

Now, Identity theft occurs when an individual/a hacker with criminal intentions tries to obtain others personal/secret information.  and the best way to prevent this hacking is by ensuring that all your personal data is stored in a secure place with the necessary security measures in place and also being very careful about who you speak to about your personal information.

Read more about Identity Theft at; https://brainly.com/question/15252417

If 4 melons sell for $0.52, how much would 7 melons cost?

Answers

0.52:4=0.13
0.13*7=0.91
The answer is $0.91

Answer:

$3.64

Step-by-step explanation:

You Times $0.52 by 7

Samantha lost 15 pounds in 6 weeks.

Answers

Alrighty then . . . . . . .
How? Because that’s amazing

Simplify each expression. justify each step (4m • 2) • 5m

Answers

Answer: I swear if this isn’t right I’m going to rage

Okay so I got 40m^2

Step-by-step explanation:

4*m*2*5*m

=40*m^2

Therefore in the end you get 40m^2

Give brainliest if I’m right? :’)

The distance between two towns on a map is 9 centimeters. The actual distance between
two towns is 63 kilometers. What is the scale on the map?
OA) 1 cm: 6 km
OB) 1 cm: 7 km
O C) 1 cm: 8 km
OD 1 cm : 9 km

Answers

Answer: OB) 1cm: 7km

63/9=7

Step-by-step explanation:

Answer:

7KM

Step-by-step explanation:

Please helppp, I'm using all my points!! Line A passes through the points (-3,-4) and (-6,-5). Write the equation of the image of A after a dilation with a scale factor of 2. Write your in answer in slope-intercept form.

y=

Answers

Answer:

The equation of the image of A after a dilation with a scale factor of 2 will be:

[tex]y\:=\:\frac{1}{3}x\:-6[/tex]

Step-by-step explanation:

Some background Knowledge about dilation.

We know that when an object is dilated by a scale factor, it gets reduced, stretched, or remains the same, depending upon the value of the scale factor.

If the scale factor > 1, the image is enlargedIf the scale factor is between 0 and 1, it gets shrunkIf the scale factor = 1, the object and the image are congruent

Rule to calculate the dilation by a scale factor 2 centered at the origin

P(x, y) → P'(2x, 2y)

Here, P'(2x, 2y) is the image of P(x, y).

It means the coordinates of the image can be determined by multiplying the coordinates of the original point by 2.

Now, let us solve our case:

Given the points

(-3, -4)(-6, -5)

Let say the points are X(-3, -4) and Y(-6, -5)

Rule to calculate the dilation by a scale factor 2 centered at the origin

P(x, y) → P'(2x, 2y)

so

X(-3, -4)    →   X' (2(-3), 2(-4))    →    X'(-6, -8)

Y(-6, -5)    →   Y' (2(-6), 2(-5))    →    Y'(-12, -10)

Thus, after the dilation scale of factor 2, now the image line will through the points X'(-6, -8) and Y'(-12, -10)

so we have the points of the image line

X'(-6, -8)Y'(-12, -10)

Determining the slope between X'(-6, -8) and Y'(-12, -10)

[tex]\left(x_1,\:y_1\right)=\left(-6,\:-8\right),\:\left(x_2,\:y_2\right)=\left(-12,\:-10\right)[/tex]

[tex]m=\frac{-10-\left(-8\right)}{-12-\left(-6\right)}[/tex]

[tex]m=\frac{1}{3}[/tex]

The slope-intercept form of the line equation

y = mx+b

where

m is the slopeb is the y-intercept

now substituting m = 1/3 and (-6, -8) in the slope-intercept form of the line equation

[tex]y = mx + b[/tex]

[tex]-8\:=\:\frac{1}{3}\left(-6\right)\:+\:b[/tex]

[tex]-2+b=-8[/tex]

Add 3 to both sides

[tex]-2+b+2=-8+2[/tex]

Simplify

[tex]b=-6[/tex]

now substituting b = -6 and m = 1/3 in the slope-intercept form of line equation

[tex]y = mx + b[/tex]

[tex]y\:=\:\frac{1}{3}x\:+\:\left(-6\right)[/tex]

[tex]y\:=\:\frac{1}{3}x\:-6[/tex]

Therefore, the equation of the image of A after a dilation with a scale factor of 2 will be:

[tex]y\:=\:\frac{1}{3}x\:-6[/tex]

Evaluate the expression: (10) -3x (-2) +5

Answers

Answer:

-3x(-2)+15

Step-by-step explanation:

add the numbers

in figure qr = 1/3pr. find pq​

Answers

Answer:

PQ = 3.2

Step-by-step explanation:

[tex] QR =\frac{1}{3} PR[/tex]

[tex] QR =\frac{1}{3} \times 4.8 [/tex]

[tex] QR =1.6 [/tex]

PQ = PR - QR

PQ = 4.8 - 1.6

PQ = 3.2

How many solutions does the equation -2x + 12 = x2 + 16 have?
A)0 real solutions
B) 1 real solution
C) 2 real solutions
D) infinitely many real solutions

Answers

Answer:

A) 0 real solutions

Step-by-step explanation:

-2x +12 = x² +16

change side ;

x²+2x+16-12 = 0

x²+2x+4 = 0

(x+2)(x+2) = 0

x = -2

substitution x= -2

; -2(-2) + 12 = (-2)² + 16

4+12 = 4+16

16 = 20

False equation = 0 real solutions

hope it helps ☺️

work out the area of this circle 14cm.give your answer i. term of pi and state its units​

Answers

Answer:

154cm

Step-by-step explanation:

Please help answer. Thanks :)

Answers

Answer:

(x,y) <-> (x-8, y-8)

Step-by-step explanation:

Take note of where each point is:

A -> (3,6)

B -> (2,1)

C -> (8,2)

A' -> (-5,-2)

B' -> (-6,-7)

C' -> (0,-6)

Since the figures are congruent to each other, all the points follow the same translation rules. For example, to get from A to A', the distance from 3 to -5 is 8 to the left, and the distance from 6 to -2 is also 8 but down. So the translation rule would be (x,y) <-> (x-8, y-8)

Indicate if the triangles are congruent. Justify your answer with the rule
that applies.

Answers

Congruent Congruent Congruent
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