Find k so that when x³+2kx² +3x-6 is divided by x+3 the remainder is 12.

Answers

Answer 1

Answer:

k = 3

Step-by-step explanation:

By the Remainder theorem if f(x) is divided by (x + h) , then the remainder is f(- h), thus

f(- 3) = (- 3)³ + 2k(- 3)² + 3(- 3) - 6 = 12 , then

- 27 + 18k - 9 - 6 = 12

18k - 42 = 12 ( add 42 to both sides )

18k = 54 ( divide both sides by 18 )

k = 3


Related Questions

84x + 12y = 9,612
1126x + 21y = 13,643
{126
I
X=
Y=

Answers

Answer:

Hello you are a b**ch

Step-by-step explanation:

I just want some points thanks.

Use the Percent Proportion to solve the following.
Find 32% of 135

Answers

Answer:

43.2

Step-by-step explanation:

convert percentage (32%) by moving decimal to left 2 places = 0.32

135 * 0.32 = 43.2

PLZZ HELPP IM FAILLING THIS CLASS

Answers

Answer:

Hope this helps!!! :)

Step-by-step explanation:

#1: if there is buy 1 get 1 free, then buy 6 get 3 free. so 2.8 times 3 = $8.4

#2: 4 for $3. break it up to 1 for $0.75. now 0.75 times 6 = $4.5

#3: the second one. $4.5 < $8.4

#4: 45 times 12 = $54

What is the value of this function evaluated at f(-3): f(x) = 2x2+ 5x - 9? F -6 G -42 H 42 J 12

Answers

Answer:

f(-3) = -6

Step-by-step explanation:

f(x) = 2x^2+ 5x - 9

We are to find f(-3)

f(-3) = 2(-3)^2+ 5(-3) - 9

f(-3) = 2(9)-15 - 9

f(-3) = 18 -15 -9

f(-3) = 18-24

f(-3) = -6

A peach pie is made with 13 peaches, which are evenly distributed throughout the pie. If Joe ate one slice of pie that contained exactly 5 peaches, what wqs the angle measure of the slice to the nearest tenth of a degree?

Answers

Answer:

138.5°

Step-by-step explanation:

A peach pie is in the form of a circle. The sum of angles in a pie is equal to 360°.

Since there are 13 peaches evenly distributed, therefore each peach occupies 360/13 degrees.

Joe ate one slice of pie that contained exactly 5 peaches, hence:

Angle measure of slice = (number of peaches in the slice / total number of peaches) * 360°

Angle measure of slice = (5 / 13) * 360°

Angle measure of slice = 138.5°

this is another prodigy question so please help

Answers

Answer:

918

Step-by-step explanation:

i know it

Lumpy leaves Miami at 12 noon traveling north at 55 mph. Stumpy leaves at 3 pm traveling north at 70 mph. In how many hours will Stumpy crash into Lumpy’s back?

Answers

Answer:

at 4

Step-by-step explanation:

PLEASE HELP FAST! I'LL LIST U BRAINIEST IF U ANSWER RIGHT!

Part A: Solve the following equation: 8 + 2(x - 3) = 3x - 3 (2 points)

Part B: Solve the following absolute value equation: |2x + 6| = 8 (4 points)

Part C: Solve the following inequality: -5(x + 1) > 30 (2 points)

Part D: f(x) = 4x - 3. Find f(5) (2 points)

Answers

Hey I just want you know that I was going on a question about the next week of the following day and I am not going on vacation yet I will have a good day at work and I)7 be 88

What's the mean median and range of 7, 1, 1, 7, 1, 4, 1??

Answers

Answer:

Mean is 3, median is 1, and range is 6

Step-by-step explanation:

Im a smart dude with a great attitude

Reva is playing a bean-bag toss game. For each bag that misses the board, the player scores 8 points. Reva misses the board 4 times in one game. What is her total score for those 4 tosses?

Answers

Answer:

a. -32

Step-by-step explanation:

WHAT IS 5+5+5+5?WHAT IS 5+5+5+5?

Answers

Answer:

Step-by-step explanation:

20?

Answer: 20

Explanation:

5x4=20

Solve.
9x + 6y = -3
y = -8

Answers

Answer:

5

Step-by-step explanation:

9x+6y=-3

9x+6(-8)=-3

9x-48=-3

9x=45

x=5

Answer:

x=5, y= -8

Step-by-step explanation:

A travel agency is planning for a holiday for
a a group
of people. The agency receives quotations
from two coach companies. Maya Express and
Great Holidays. Maya Express charges $15 for
each person while Great Holidays charges a
fixed amount of $84 and an extra of $12 per
person. If the total amount charged by each
company is the same, find the number of
people going on the holiday.

Answers

Answer:

so it 15

Step-by-step explanation:

Cna anyone help with this one for me? I’ll give 5 stars

Answers

Answer:

D

Step-by-step explanation:

The answer would be C 3d + 8 is less than or equal to 35.

The tank holds no more than 35, so there can be 35 fish in the tank so it can be equal to 35.

there is already 8 fish from the old aquarium and there are 3 new fish per day so the 3 gets the variable

math problem.
sdvvccc​

Answers

1.5/10=4.5/x
10*4.5=45
45/1.5=30

30 miles is your answer

Ducklings cost $15 each. Chicks cost $12 each. You have $60 to spend on poultry

Answers

Answer:

If your question is how much money you have after you purchase a duckling and a chick, your answer would be $33. It seems to me like you posted the question without finishing it. I'm guessing you were about to mention how many ducklings and chicks you were going to buy and how much money you would have leftover for the poultry.

Step-by-step explanation:

To solve your problem you must add what you're buying and then subtract from your original amount.

For example: if you want one duckling and one chick and you would like to know how much money you have leftover to buy poultry. $15 + $12= $27 dollars in all. Then, you will subtract $27 dollars from $60, this way you know how much money you will have left in order to buy the poultry. $60 - $27= $33.

THEME
1. The height of a cylinder is 6 centimeters. The circumference of the base of the
cylinder is 187. Solve and explain how you would find the measurement of they
cylinder's volume in cubic centimeters. Be specific, include any formulas you will
need, identify the components of the cylinder, explain whether you need to round,
and do not forget to include units of measurements.
Academic Vocabulary:
height cylinder base radius circumference pi substitute volume
cubed squared formula round

Answers

Answer:

Step-by-step explanation:

Hey do you have the answer?

1.) which numbers are in order from greatest to least;

A. -20, -5, 10, 15, 40
B. -5, -20, 10, 15, 40
C. -5, 10, 15, -20, 40
D.40, 15, 10, -5 , -20

Answers

Answer:

D

Step-by-step explanation:

40 is the highest because it's a positive number and -20 is the lowest cause it's negative

Answer:

D is

Step-by-step explanation:

Once you go past negatives, the "bigger" numbers are smaller than the "smaller" numbers. (-20>-60)

3x−6 = 9
please answer








i lost 1000 points and 10 brainliest because someone reported and got all my answers taken down. smh

Answers

the answer is 5 because you have to add 6+9=15 then divide 3x and 15 and that makes x=5

Answer:

x = 5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

3x - 6 = 9

Step 2: Solve for x

Add 6 to both sides:                    3x = 15Divide 3 on both sides:                x = 5

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Substitute in x:                    3(5) - 6 = 9Multiply:                               15 - 6 = 9Subtract:                              9 = 9

Here we see that 9 does indeed equal 9.

∴ x = 5 is the solution to the equation.

Can someone help me on this! plz help me and tell me how u got the answer.
and plz dont troll.....

Answers

Answer: The last choice, 2x + 3y = 10

Step-by-step explanation: This equation will have the same slope. The line will be parallel to the original side , just higher up on the grid.

If segment RT bisects ∡QRS, m∡QRT = 5x – 9 and m∡SRT = 2x + 33, find m∡SR

Answers

Answer:

61 degrees

Step-by-step explanation:

m∡QRT=m∡SRT

5x – 9=2x + 33

3x=42

x=14

∡SRT=2x+33

∡SRT=2(14)+33

∡SRT=28+33

∡SRT = 61

PLEASE HELP ME PLEASE

Answers

Answer:

8.5

Step-by-step explanation:

15x+10+6x+2=180 (add up to we 180 because they are alternate eachother

21x+12=180 combine like terms

21x=178 subtract 12 from both sides

x~~8.5 divide both sides by 21

A triangle formed by the sides 3.8cm ,3.7 cm, and 5cm is​

Answers

It is a scalene triangle because none of the sides are the same!

By the Pythagoras theorem we know that the if the square of the longest side of the triangle is equal to the sum of the square of other two sides.

The triangle formed by the sides 3.8 cm ,3.7 cm, and 5 cm is​ acute angle triangle.

How to find the type of triangle?

By the Pythagoras theorem we know that the if the square of the longest side of the triangle is equal to the sum of the square of other two sides. Thus,

For a triangle to be right angle triangle,

           [tex]c^2=a^2+b^2[/tex]

       By this law it is observed that,

For a triangle to be acute angle triangle,

         [tex]c^2<(a^2+b^2)[/tex]

For a triangle to be obtuse angle triangle,        

        [tex]c^2>(a^2+b^2)[/tex]

The sides of the given triangle are  3.8 cm ,3.7 cm, and 5 cm.

Here the longest side is 5 cm. Thus check the type of triangle using above formula. Longest side,

[tex]c^2=5^2\\c^2=25[/tex]

Other two sides,

[tex]a^2+b^2=3.8^2+3.7^2\\a^2+b^2=14.44+13.69\\a^2+b^2=28.13[/tex]

Therefore,

[tex]25<28.13\\[/tex]

Hence the triangle formed by the sides 3.8 cm ,3.7 cm, and 5 cm is​ acute angle triangle.

Learn more about the type of triangle here;

https://brainly.com/question/2644832

WILL GIVE 100 POINTS TO BEST ANSWER NEED HELP FAST!!!!! AND BRAINLIEST
The coordinate plane below represents a community. Points A through F are houses in the community.
Part A: Using the graph above, create a system of inequalities that only contains points B and F in the overlapping shaded regions. Explain how the lines will be graphed and shaded on the coordinate grid above. (5 points)

Part B: Explain how to verify that the points B and F are solutions to the system of inequalities created in Part A. (3 points)

Part C: John wants to live in the area defined by y > 2x − 5. Explain how you can identify the houses in which John is interested in living.

Answers

Answer:

I don't know buh download socratic for the answer nd explanation

NEED HELP ASAP PLEASE!!!!!!!!!

Answers

Answer:

1) m=-7/5

2) m=-7/5

3) parallel

Step-by-step explanation:

the first part:

graph the points and then find the slope

m=-7/5

the second part:

slope= m in y=mx+b

m=-7/5

the last part:

they are parallel because they have the same slope

Answer:

slope of two points is m=-7/5

SLOPE OF THE EQUATION GIVEN -7/5

PARALELL

Step-by-step explanation:

Carrie spent
1
4
of her allowance on a shirt,
1
3
of her allowance on a skirt, and $8 on a belt. If she spent $22 in all, how much was Carrie’s allowance?

Equation:
1
4
a +
1
3
a + 8 = 22

Carrie’s allowance was $

Answers

24 dollars.

1/4 + 1/3 = 3/12 + 4/12 = 7/12

7/12 a + 8 = 22

7/12 a = 14

a = 14 x 12/7

a = 24 dollars

Who knows how to do this I TRULY NEED HELP

Answers

Answer:

Yes

Step-by-step explanation:

two of the different sides match

When I’m doubt C it out

please help me out thanks!

Answers

Answer:

[tex]\frac{-1}{8}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Step-by-step explanation:

Step 1: Define

[tex]\frac{b+7}{2a}[/tex]

a = -4

b = -6

Step 2: Evaluate

Substitute:                     [tex]\frac{-6+7}{2(-4)}[/tex]Multiply:                         [tex]\frac{-6+7}{-8}[/tex]Add:                               [tex]\frac{1}{-8}[/tex]Rewrite:                         [tex]\frac{-1}{8}[/tex]

what is surface area of this wedge (pic atrached)​

Answers

Answer:

360 ft

Step-by-step explanation:

6 x 5 x 4 x 3 = 360

b. 360 ft


Y-3 = -(x-2)
in slope intercept form. Please show work.

Answers

Answer:
Y=-x+5

Write in slope-intercept form,
y=mx+b
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