Mathematics High School

(x^3 + 8x^2 + kx + 4) ÷ (x+ 2)

Please help how do i solve for k please include steps this is called remainder theorem

Answers

Answer 1

Answer: 14

Step-by-step explanation:

Check it

(x^3 + 8x^2 + Kx + 4) (x+ 2)Please Help How Do I Solve For K Please Include Steps This Is Called Remainder
Answer 2

Answer:

k = 14

Step-by-step explanation:

The Remainder theorem states that if f(x) is divided by (x + h) then the remainder is f(- h)

If (x + h) is a factor of f(x) then the remainder is zero, that is f(- h) = 0

Given (x + 2) is a factor of f(x) then f(- 2) = 0, that is

(- 2)³ + 8(- 2)² - 2k + 4 = 0

- 8 + 8(4) - 2k + 4 = 0

- 8 + 32 - 2k + 4 = 0

- 2k + 28 = 0 ( subtract 28 from both sides )

- 2k = - 28 ( divide both sides by - 2 )

k = 14

Related Questions

HELP NEEDED ASAP I WILL GIVE BRAINLIEST TO WHOEVER GETS CORRECT

(08.03)

Solve the system of equations and choose the correct answer from the list of options.

d + e = 15
−d + e = −5

Label the ordered pair as (d, e). (4 points)

a
(0, 0)

b
(10, −5)

c
(5, 10)

d
(10, 5)

Answers

Answer:

d

Step-by-step explanation:

10+5=15

-10+5=-5

give brainliest if right. 

Answer:

(10, 5)

Step-by-step explanation:

Select all the lines that have the slope of 5/2

Answers

Answer:

a and e i think

Step-by-step explanation:

 

The lines that have a slope of 5/2 which is the ratio of the rise over the run of the rise of the line are:

Line A and Line E

Recall:

The slope (m) of any line equals the rise of the line over the run

The rise is the change along the vertical axis

The run is the change along the horizontal axis

Slope (m) = [tex]\frac{rise}{run} = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

The slope of each line as shown in the image (see attachment) are:

Slope for line A:

[tex]\frac{rise}{run} = \frac{10}{4} = \frac{5}{2}[/tex]

Slope for line B:

[tex]\frac{rise}{run} = \frac{4}{2} = 2[/tex]

Slope for line C:

[tex]\frac{rise}{run} = \frac{2}{5}[/tex]

Slope for line D:

[tex]\frac{rise}{run} = \frac{2}{5}[/tex]

Slope for line E:

[tex]\frac{rise}{run} = \frac{5}{2}[/tex]

In conclusion, the lines that have a slope of 5/2 which is the ratio of the rise over the run of the rise of the line are:

Line A and Line E

Learn more here:

https://brainly.com/question/15829705

If f(x) = 3X + 10 and g(x) = 2x – 4, find (f- g)(x).

Answers

So (f-g)(x) is f(x)-g(x) so you have

(3x+10)-(2x-4)

Distribute the negative in to the 2x-4 to get

3x+10-2x+4

Then combing like terms you have

3x-2x+10+4

And then that gives you

x+14

So (f-g)(x)=x+14

Hope this helps!! Mark as brainliest!!!!

Kristin watches 3 television shows every day. She has already watched 15 shows so far. How many days will it take her to watch a total of 45 shows?

Answers

45-15= 30

30/3= 10

The answer will be 10 days

Have a nice day

Please help Will mark brainliest
x+3=3x+4

Answers

Answer:

The answer is x=-1/2

Step-by-step explanation:

hope this helps

Answer:

x=-0.5

Step-by-step explanation:

first subtract 3x from right side to get -2x the subtract 3 from the left side to end up with -2x=1 Then dived by 2

What is the value of 5k + m when k= -3 and m= -6

Answers

Answer:

-21

Step-by-step explanation:

Plz mark brainliest!

Quadrilateral ABCD, shown below, is translated 3 units to the left to create quadrilateral A'B'C'D'.
B
D

Answers

Answer:

A

Step-by-step explanation:

it should be a, the proportions of the square, or lengths of the sides, dont change if the shape is translated wherever, if that makes sense!

The length of AB is Equivalent to length A'B'.

What is Translation?

Translation is the act of moving a shape or a figure from one location to another. A figure can move in translation up, down, right, left, or anywhere else in the coordinate system. Only the object's position changes during translation; its size stays the same.

Given:

As, we know in translation there is no alteration in size of the image.

But the translation is shifting of the figure.

So, the length of AB = length of A'B'

Hence, the length of AB is Equivalent to length A'B'.

Learn more about Translation here:

https://brainly.com/question/12463306

#SPJ5

Who defeated Rommel during WWII?

Answers

Answer:

General Patton

Step-by-step explanation:

He kicked Rommel into next year. Simple as that.

General Patton was not the person who beat Rommel.

Rommel was beaten by the BRITISH 8th army at the battle of El Alamein, by Field General Bernard Montgomery - Patton is an AMERICAN general.

"Monty", as Montgomery was known, was the general who played the major part in destroying Rommel in North Africa, and pushing through Sicily and Italy  

help me please! this is important.

Answers

Answer:

Their sides are the same accept the bigger triangles sides are multiplied by 5 so it is just factored off the smaller triangle but since it is not the same it is similar instead of congruent.

Step-by-step explanation:

AYUDA ES MUY URGENTEEEEEEEEEEEEEEEEEEEEE

Answers

Step-by-step explanation:

can u type ur question in english?

For the function f(x) = 3x2 – 3x + 3, what is the value of f(–3) ?

Answers

Answer:

f(-3)=39

Step-by-step explanation:

f(-3)=3(-3)^2-3(-3)+3 = 39

unless that isn't 3x^2 the f(-3) = -6

The ratio of potatoes to turnips is
1:1. If there are 473 potatoes, how many turnips are there?

Answers

Answer: 473

because The ratio of potatoes to turnips is  1:1 =>If there are 473 potatoes, there are 473 turnips

Step-by-step explanation:

If f(x) and g(x) are continuous on [a, b], which one of the following statements is true?

Answers

Answer:

took the test and the first one is the answer

Step-by-step explanation:

test

20 is 5% of what number?

Answers

Answer:

400

Step-by-step explanation:

Plz mark B R A I N L I E S T

you can derive that 5 percent of 400 equals 20

Step-by-step explanation:

Can you help me please?

Answers

Answer:

down bellow-

Step-by-step explanation:k ask ur parent/teacher

Draw a number line that includes both positive and negative integers from +5 to -5.

Answers

Answer:

5 4 3 2 1 0 -1 -2 -3 -4 -5

Step-by-step explanation:

how do you rewrite that as decimal

Answers

Answer:

0.38

Step-by-step explanation:

Answer:

0.38

Step-by-step explanation:

Convert fraction (ratio) 19 / 50 Answer: 38%

Write an equation in slope intercept form. m=2, (3,1)​

Answers

Answer:

y = 2x - 5

Step-by-step explanation:

y - 1 = 2 (x - 3)

y - 1 = 2x - 6

y = 2x - 5

A club has 52 male members. There are y more male members than female members. How many members does the club have in total

Answers

Answer:

That's hardly enough information for me to solve.

What is the perimeter of the triangle below?

48.0 units
24.0 units
16.7 units
14.7 units

Answers

Answer:

The perimeter of triangle below is 48 units

Answer:

48

Step-by-step explanation:

What is the 18th term of the arithmetic sequence 2, -2, -6, -10, ...?

Answers

Answer:

-66

Step-by-step explanation:

-4n+6

-72+6

-66

might not be right thk

Answer:

- 66

Step-by-step explanation:

The n th term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 2 and d = a₂ - a₁ = - 2 - 2 = - 4, thus

[tex]a_{18}[/tex] = 2 + (17 × - 4) = 2 - 68 = - 66

Write and equation that is perpendicular to the line y= -3/5x-5 and
goes through point (0,3).

Answers

The answers is y=5/3x+3

5Ib package of chicken costs 6.00. What is the cost per pound

Answers

Answer:

6/5=1.2 or $1.20

Step-by-step explanation:

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▹ Answer

$1.20

▹ Step-by-Step Explanation

To find the cost per pound, we will divide the total cost by the amount of lbs:

$6.00/5 lbs = $1.20

Each pound costs $1.20

Hope this helps!

CloutAnswers ❁

━━━━━━━☆☆━━━━━━━

Find the slope of each line

Answers

Answer:

2/4

Step-by-step explanation:

If you follow the rule, rise over run, you can start from the first point. Then, rise till you reach the level the other point is. (which would be 2) Go over until you meet the second point. (4)

If one ream of bondpaper costs (3x-4)pesos,how many reams can you buy for (6x^4-17x^3+24x^2-34x+24)​

Answers

Answer: can buy (2x³ - 3x² + 4x - 6) reams

[tex]6x^{4} -17x^{3}+24x^{2} -34x+24\\\\\\=6x^{4}-8x^{3} -9x^{3} +12x^{2} +12x^{2} -16x-18x+24\\\\=2x^{3}(3x-4) -3x^{2} (3x-4)+4x(3x-4)-6(3x-4)\\\\\\=(2x^{3}-3x^{2} +4x-6)(3x-4)[/tex]

Step-by-step explanation:

The number of reams of bondpaper that can be bought from [tex]6x^4-17x^3+24x^2-34x+24[/tex] pesos are [tex]2x^3-3x^2+4x-6[/tex].

Cost of a ream of bondpaper is [tex](3x-4)[/tex] pesos.

The number of reams that can be bought from [tex]6x^4-17x^3+24x^2-34x+24[/tex] pesos is calculated by following the long division method as-

[tex]\dfrac{6x^4-17x^3+24x^2-34x+24}{3x-4}=2x^3-3x^2+4x-6[/tex]

So,

The number of reams that can be bought from [tex]6x^4-17x^3+24x^2-34x+24[/tex] pesos are [tex]2x^3-3x^2+4x-6[/tex].

Learn more about unitary method here:

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A small group of entrepreneurs decide to create tote bags with pictures on them. The bags cost $5.25 each and the pictures and application
costs $2.50 per bag. The group has $85 in fixed costs. They plan to sell the tote bags for 512 each. What is the revenue function?
a. R=12n
b. R=5.35n+2.50
c. R=12n+85
d. R=12n-85

Answers

Answer:

I would think d for the answer

Plz help me with this

Answers

Answer:

b) Scalene Acute

Step-by-step explanation:

b) Scalene Acute

A scalene triangle is a triangle with none of its sides equal to each other. Here, The sides MN,NO,OM with their respective values of 4.94,4.65.3.65 are not equal. Hence, Scalene.

An acute triangle is a triangle in which the largest angle of the triangle is more than 90 degree. Here, Neither  63, 45 nor 72 are greater than 90 degrees.

Hence, Acute

Hazhair bought 2 DVDs for $12.95 each. He spent $25 on magazines. Did he spend more on DVDs or magazines? How much more? Write equations to show your work.

Answers

Answer

5.9

12.95*2=25.9

25.9-20

Ahora wants to bake pumpkin pies for a Thanksgiving potluck dinner. She needs 8.8 pounds of pumpkins that sell for $0.93 per pound. How much will she spend? Round to the nearest cent.

Answers

Answer:

Apx 7.79$

Step-by-step explanation:

Please brainliest

center C, and its radius is 4 yd. Given that m 2 DCE=130°, find the length of the minor arc DE.
in terms of it, and be sure to include the correct unit in your answer.

Answers

Answer:

no telefone bahd 284malhei chá nsh BA stand Ata pernendbd hello prar tort ersz as reppot

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