The polynomial x^3-kx^2+kx+2 has a factor of (x-2). What is the value of k?

Answers

Answer 1

[tex]\text{Let}~ f(x) = x^3-kx^2 +kx +2.\\\\\text{If}~ x-2~ \text{is a factor of}~ f(x)~ \text{then,}\\ \\f(2) =0\\\\\implies 2^3-k\cdot 2^2 +2k+2 =0\\\\\implies -4k+2k+8+2=0\\\\\implies 10-2k=0\\\\\implies 2k =10\\\\\implies k= \dfrac{10}2 = 5\\\\\\\text{Hence, the value of k is 5.}[/tex]


Related Questions

y=-1/4x+3

Convert to standard form

I need help understanding how to do this...

Answers

Answer:

y=y

Step-by-step explanation:

y=y because y has the same value as y

Find the lateral surface area of the cylinder. use 3.14 for π, and round your answer to the nearest hundredth. refer to your staar 8th grade math reference sheet for the appropriate formula. question 10 options: 376.99 cm2 362.16 cm2 367.59 cm2 354.18 cm2

Answers

The lateral surface area of the given cylinder of radius 10cm and height of 5cm is 314cm sq.

What is the lateral surface area of the cylinder?

For a right circular cylinder of radius r and height h, the lateral surface area is the product of diameter to the height and pie.

The lateral surface area of the cylinder = 2πrh

Let assume Radius, r = 10

Height, h = 5.

The lateral surface area of the cylinder = 2πrh

       = 2 × 3.14 × 10 × 5

       =  314cm sq.

Read more about cylinders;

brainly.com/question/9554871

Is -\dfrac{59}{3}+\dfrac{4}{63}−
3
59

+
63
4

minus, start fraction, 59, divided by, 3, end fraction, plus, start fraction, 4, divided by, 63, end fraction rational or irrational?

Answers

Answer:

it is rational

Step-by-step explanation:

trust me

ing a Reflection in the
Coordinate Plane continued
Triangle XYZ is reflected across the y-axis to form
figure

help

Answers

Answer:

equals 1864 and this head and this talk

Find the length of the third side. If necessary, round to the nearest tenth

Answers

for this equation we just use pythagorean theorem.

11^2+12^2=x^2
121+144=x^2
265=x^2
x=16.3

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's use Pythagoras theorem !

[tex]\qquad \sf  \dashrightarrow \:h {}^{2} = p {}^{2} + b {}^{2} [/tex]

where,

h = hypotenuse = unknown

b = base = 11

p = perpendicular = 12

[tex]\qquad \tt\dashrightarrow \:h {}^{2} = 12{}^{2} + 11 {}^{2} [/tex]

[tex]\qquad \tt\dashrightarrow \:h {}^{2} = 144{}^{} + 121[/tex]

[tex]\qquad \tt\dashrightarrow \:h {}^{2} = 265[/tex]

[tex]\qquad \tt\dashrightarrow \:h {}^{} = \sqrt{265}[/tex]

[tex]\qquad \tt\dashrightarrow \:h {}^{} \approx16.3[/tex]



In the data set below, what is the interquartile range?
15
24
34
34
36
60
70
73
87
91
91
95

Answers

55 is the interquartile range

Help me find Fred's mistakes. I need to know which step Fred messed up on. Answer choices...
A. Fred made a mistake in step 1
B. Fred made a mistake in step 2
C. Fred made a mistake in step 3
D. Fred didn't make a mistake

Answers

Answer:

C. Step 3

Step-by-step explanation:

Fred lost the negative sign, but everything else was right. He should have gotten -9.

area of regular polygons

Answers

Answer = 259.2. (I have linked my working out down below have a look)

in need help in this

Answers

Answer:

Vertex form is

[tex]a(x - h) {}^{2} + k = y[/tex]

where (h,k) is the vertex

So our vertex form is

[tex]a(x - 3) {}^{2} + 5 = y[/tex]

It passes through (6,0) so we have

[tex]a(6 - 3) {}^{2} + 5 = 0[/tex]

Solve for a.

[tex]a(3) {}^{2} + 5 = 0[/tex]

[tex]a(9) = - 5[/tex]

[tex]a = \frac{ - 5}{9} [/tex]

So our equation is

[tex] - \frac{5}{9} (x - 3) {}^{2} + 5[/tex]

A rectangle with length of 4/9 foot and a width of 2 feet

Answers

Answer:

area of rect = 8/9

Step-by-step explanation:

Area of rect.= (L*W)

Area = (4/9) (2)

Area = (4/9) (2/1)

Area = 8/9

Answer:

8/9 feet

Step-by-step explanation:

Area=l*w

4/9ft*2ft

4/9*2/1=8/9ft

1) Advertisement XYZ Company charges $35 for the first four lines and $5.25 per extra
line to run the ad for one week. Jacqueline plans to sell her house and places a 15-line
ad.
a. What will Jacqueline's ad cost to run for one week?
b. What will Jacqueline's ad cost to run for four weeks?

Answers

Answer:

a)  $92.75

b)  $371

Step-by-step explanation:

Let x = number of lines in the ad

Let x = total charge per week to run the ad

Given:

Charge per week for first 4 lines = $35Charge per week for each additional line = $5.25

Create equations based on the given information:

y = 35   for x < 4

y = 35 + 5.25(x - 4)  for x ≥ 4

Part (a)

Given:

Jacqueline's ad = 15 lines

⇒ y = 35 + 5.25(15 - 4)

      = 35 + 5.25(11)

      = 35 + 57.75

      = 92.75

So the ad will cost $92.75 to run for 1 week.

Part (b)

Cost to run the ad for 4 weeks = 4 × cost of 1 week

                                                    = 4 × 92.75

                                                   = $371

Elizabeth is five-sixths the age of her
sister Nancy. If Elizabeth is ten years
old, how old is Nancy? Write an
equation
to calculate Nancy's age.

Answers

Answer: Nancy is 12

Nancy = 5/6N =10

Step-by-step explanation:

Elizabeth = 5/6N

5/6N = 10

Divide both sides by 5/6

A collection of nickels and quarters in a jar is worth
$8.05. If there are a total of 45 nickels and quarters
in the jar, how many nickels are there?

Answers

Answer:

16 nickels

Step-by-step explanation:

Let "n" be the number of nickels

Let "q" be the number of quarters

We know that,

1 nickel = $ 0.05 or 5 cent

1 quarter = $ 0.25 or 25 cent

Anna has a collection of 45 nickels and quarters

Therefore,

n + q = 45

q = 45 - n --------- eqn 1

Anna has a collection of 45 nickels and quarters worth $8.05

$ 8.05 is worth 805 cents

Thus we frame a equation as:

number of nickels x 5 cents + number of quarters x 25 cents = 805

5n + 25q = 805 ----- eqn 2

Let us solve eqn 1 and eqn 2

Substitute eqn 1 in eqn 2

5n + 25(45 - n) = 805

5n + 1125 - 25n = 805

20n = 1125 - 805

20n = 320

n = 16

Then there are 16 Nickels

Taharka, Lamari and Keyon are sharing the cost of a football. Taharka will pay 0.15 of the cost. Lamari
will pay 12 of the cost. Keyon will pay the rest. If the football costs $16, how much will they each pay?

Answers

Answer:

the answer should be 3.85 that they pay each

Step-by-step explanation:

Because if you add 12.15 (Taharka + Lamari) and 3.85, it equals 16. The 3.85 comes from 16.00 - 12.15

10 + X/3 = 13 what does The X Equal to?

Answers

Answer:

[tex] \Large{\boxed{\sf x = 9}} [/tex]

[tex] \\ [/tex]

Explanation:

Given equation:

[tex] \sf 10 + \dfrac{x}{3} = 13 [/tex]

[tex] \\ [/tex]

Subtract 10 from both sides:

[tex] \sf 10 + \dfrac{x}{3} - 10 = 13 - 10 \\ \\ \sf \dfrac{x}{3} = 3 [/tex]

[tex] \\ [/tex]

Multiply both sides by 3:

[tex] \sf 3 \times \dfrac{x}{3} = 3 \times 3 \\ \\ \\ \boxed{\boxed{\sf x = 9}} [/tex]

[tex] \\ \\ [/tex]

▪️Learn more about equations here:

↣https://brainly.com/question/19225782

Answer:

X = 9

Step-by-step explanation:

In this question we have provided an equation that is 10 + X/3 = 13 . And we're asked to find the value of X .

Solution : -

[tex] \longmapsto \qquad \: 10 + \dfrac{X}{3} = 13[/tex]

Step 1 : Multiplying with 3 on both sides :

[tex]\longmapsto \qquad \:(10 + \dfrac{X}{3} ) \times 3=13\times3[/tex]

Now by using distributive property multiplying 3 with 10 as well as X/3 :

[tex] \longmapsto \qquad \: (10 \times 3) + ( \dfrac{X}{ \cancel{3}} \times \cancel{3}) = 13 \times 3[/tex]

On calculating further , We get :

[tex] \longmapsto \qquad \: 30 + X = 39[/tex]

Step 2 : Subtracting with 30 on both sides :

[tex] \longmapsto \qquad \: \cancel{30} + X - \cancel{30} = 39 - 30[/tex]

On calculating further , We get :

[tex] \longmapsto \qquad \: \purple {\underline{{\boxed{\frak{X= 9}}}}}[/tex]

Henceforth, value of X is 9 .

Verifying : -

Now we are checking whether our answer is correct or wrong by substituting values of x in given equation . So ,

10 + X/3 = 13

10 + 9/3 = 13

10 + 3 = 13

13 = 13

L.H.S = R.H.S

Hence , Verified .

Therefore , our value for x is correct .

#Keep Learning

Find the volume of the figure below.

Answers

Answer: it’s a

Step-by-step explanation:

The reason why i said it’s a is because I did this before.

$52 lunch; 2.5% tax what is the answer

Answers

Answer:

$53.30

Step-by-step explanation:

2.5% of 52 is 1.3

1.3 + 52 = 53.30

hope this helped :)

Answer:

$53.30

Step-by-step explanation:

Cost of lunch : $52

Tax : 2.5%

Divide the tax (2.5%) by 100

2.5 ÷ 100 = 0.025

Multiply 0.025 by the cost of the lunch ($52) to get the sales tax.

52 × 0.025 = 1.3

Now, add 1.5 (sales tax) with 52 (cost of lunch).

52 + 1.3 = 53.30

So, the total cost of the lunch + tax is $53.30.


Hope this helped !

Select all the decimals that round to 40 when they are rounded to the tens place.
a) 42.59
b) 37.155
c) 45.78
d) 45.167
e) 34.989​

Answers

Answer:

A. 42.59

B. 37.155

Step-by-step explanation:

I used a round calculator by the way

FUN QUESTIONS OF MATHETICS FOR BOREDISH PEOPLE:
3x3?
4x5?
8x9?
7x3?

Answers

Answer: 3x3=9, 4x5=20, 8x9=72, and 7x3=21!

Step-by-step explanation:

May you help me please I am stressed and struggling

Answers

Answer:

2x+4+3x+4

5x+8

2(2x+4)+x

Step-by-step explanation:

• 2x+4+3x+4 would be equal to 5x+8

because you will group like terms: 2x+ 3x=5x and 4+4=

• 2(2x+4)+x

multiple what's outside the bracket by what's inside .

4x+8+x

4x+x =5x and 8

sooo 5x+ 8

Hope this helps

What is the length of this key to the nearest quarter inch?


3 inches

314 inches

312 inches

334 inches
Key laying horizontally with vertical markers indicating the left and right ends of the key.

Answers

the length of the key will be 3 inched long because it is laying horizontally

Alice has 2290 dollars, Cindy has 987 more than Alice
What is the amount of money combined with Alice and Cindy? ​

Answers

Answer: 3,277

Step-by-step explanation: all you have to do is add 2290 and 987 toghther  

Answer:

5567 $.

Step-by-step explanation:

The amount of money Alice has = 2290 $.

Cindy = Amount of money Alice has + 987

= 2290 + 987

= 3,277.

Now,

The amount of money combined = 2290 + 3277

= 5567 $.

How can you add eight fours together so the total adds up to 500?

Answers

Answer:

you can try Multiplying 8 over 1 and 4 over1

How many 5-digit numbers contain at least one 3?

Answers

Answer:

37,512

Step-by-step explanation:

Total # of  5 -digit numbers  =9×104=90,000

Total # of  5 -digit numbers that do not contain  3=8×94=52,488

Total # of  5 -digit numbers that contain at least one  3=90,000−52,488=37,512

Let A={1,2,3,4,5} and B={2,4} what is AnB

Answers

Answer:

AnB = { 2,4}

Step-by-step explanation:

A={1,2,3,4,5} and B={2,4}

AnB  means A intersect B or what is common to both A and B

AnB = { 2,4}

the radius of circle r is 7 inches and the diameter of circle k is 14 inches. what is the relationship between circle r and circle k?

Answers

Answer:

They are the same size.

Step-by-step explanation:

Radius is one half the diameter meaning our diameter is twice as large as our radius. So (diameter)/2 = radius or 2*radius= diameter. So since the radius of circle r is 7 inches, that means its diameter is 14 inches. If the diameter of circle k is 14 inches, that means its radius is 7 inches.

9 1/10 - 4 3/4

Help please

Answers

Answer:

[tex]4\frac{7}{20}[/tex]

Hope This Helps! :)

Answer:

[tex]4\frac{7}{20}[/tex]

Step-by-step explanation:

[tex]9\frac{1}{10}-4\frac{3}{4}[/tex]

Convert in improper fractions:

[tex]\frac{10*9+1 }{10} -\frac{4*4+3}{4}\\\\\frac{90+1}{10}-\frac{16+3}{4}\\\\\frac{91}{10}-\frac{19}{4} < ==find\ the\ LCM\ or\ the\ common\ denominator\ for\ 10\ and\ 4\ (20)\\\\\frac{182}{20} -\frac{95}{20}\\\\ \frac{87}{20} < ==convert\ to\ a\ mixed\ fraction\\\\ 4\frac{7}{20}[/tex]

Multiples of 4:

4, 8, 12, 16, 20, 24, 28, 32, 36, 40

Multiples of 10:

10, 20, 30, 40

LCM of 4 and 10 is 20.

Hope this helps!

For every 2 sheep in the field on monday, how many chickens were in the field?

Answers

Answer:

This needs more context im sorry

Step-by-step explanation:

Fistan is comparing two number pattern
the information below.
• Both patterns start with the number 1.
• Pattern A follows the rule “add 3”.
• Pattern B follows the rule “add 4".
ow do each of the first 5 terms in Pattern A
mpare to the first 5 terms in Pattern B? As
et of your answer, list the first 5 terms of each
tern.

Answers

Answer:

See below.

Step-by-step explanation:

Each term increases by 3 for A and 4 for B.  Either do this calculation manually on a table, or use a spreadsheet to calculate all terms quickly.

The ten first terms for A and B are shown.  

A B Difference

1 1 1    0

2 4 5    1

3 7 9    2

4 10 13    3

5 13 17    4

6 16 21    5

7 19 25    6

8 22 29    7

9 25 33    8

10 28 37    9

We can see that the difference between the two patterns is that B increases more rapidly until there is a difference of 9 by the 10th term.

Evaluate the expression 900x3m for m = -1

Answers

Answer:

-2700

Step-by-step explanation:

3×-1=-3

900×-3=-2700

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