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

Help ASAP please! Thanks, will give brainliest if correct.

Answers

Answer:

A

Step-by-step explanation:

A pair of sunglasses is on sale for $17. Last week, the sunglasses were marked at a regular price of $20. What was the percent of change?

Answers

sunglasses are on sale this week for $17 and they were formally $20.

$20 x .15= $3

A= 15%

At an airport restaurant, 2 sodas and 4 hamburgers cost $12.00. An order of 4 sodas and 2 hamburgers costs $9.00. How much does one hamburger cost? Enter your numerical answer no symbols, use decimals as needed.

Answers

Answer:

The cost of one hamburger is $2.50

The cost of the soda will be $1.00

Step-by-step explanation:

Let the cost of one soda be s

and let the cost of one hamburger be h

Part 1) 2 sodas and 4 hamburgers cost $12.00

2s + 4h = 12

2 (s + 2h) = 12

Dividing the whole equation by 2, we get

s + 2h = 6

s = 6 - 2h (part 1)

Part 2) 4 sodas and 2 hamburgers costs $9.00

4s + 2h = 9 (part 2)

Substituting the value of s from part 1 in part 2, we get

4(6 - 2h) + 2h= 9

24 - 8h + 2h = 9

24 - 6h = 9

-6h = 9 - 24

-6h = -15

h = -15/-6

h = 2.5

So, the cost of one hamburger is $2.50

s = 6 - (2 * 2.50)

s = 6 - 5 = 1

the cost of the soda will be $1.00

LC) Simply -3 over 2 ÷ 9 over 6 ​

Answers

Step-by-step explanation:

-3^2 / 9^6

-3^2 / 3^2

(9 divided by 3 = 3 and 6 divided by 3 = 2)

It would now be -1 because a negative divided by a positive gives a negative.

Find the perimeter of the figure below. ​

Answers

Answer:

ur ans is B) 96mm

Step-by-step explanation:

If it's ok...PLZ mark it as brainliest

You are to take 90 milligrams of a medication. Each tablet contains 30 milligrams or ½ grain. How many grains of the medication will you be taking?

Answers

Answer:

1 and a half  grains

Step-by-step explanation:

What is this answer pls get me the right answer if you don’t well I’m going to delete your answer

Answers

The answer is 10.1

.9(15) - 1.7(2)
13.5 - 3.4
10.1

16 = n + 3
Enter your answer in the box.
HELP ME PLEASE

Answers

16 + (-3) = (n+3) + (-3)

N = 13
Pls help me and explain why it’s that answers.

What is an equation of the line that passes through the points (-2, 1) and (-8, 4)
and i need the answer quick please

Answers

Answer:

y= -1/2x

Step-by-step explanation:

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

y-1/x+2=-1/2

2y-2= -x-2

2y= -x-2+2

2y=-x

y=-1x/2„

Answer:

y= -1/2x

Step-by-step explanation:

i took a test on k12 and it was right

someone pls explain how to do this step by step

Answers

Answer:

7

Step-by-step explanation:

12=5+4p+3p ---> subtract the 5 to the other side

12-5=4p+3p ---> combine like terms

7=p

Hope this helps! :)

the area of a rectangular concrete patio is 70 square meters the perimeter is 34 meters what are the dimensions of the patio

Answers

Answer:

7 and 10

I hope this is correct and helps.

Answer:

7 and 10 because

perimeter you add all sides together like :

7 +7 +10 +10

14+20

34 (which checks out)

and then for area you multiply length and width and 7 x 10= 70 which checks out

Step-by-step explanation:


2x + 6 = 10 is an example of
A) Algebraic Inequality
B) Algebraic Expression
C) Verbal Expression
D) Algebraic Equation

Answers

2x + 6 = 10 is an example of Algebraic Equation

Answer:

D is the answer for the question

For ax + by = c, solve for x.

Answers

Answer:

Step-by-step explanation:

ax + by = c

ax= c-by <------- Subtract by "by"

x= c-by/a <------ divide by a

If 8 gallons of water are divided evenly into 11 buckets, how much will be in each bucket?

Answers

Answer:

8/11

Step-by-step explanation:

i just did 8 divided by 11 and got that

Answer:

0.72

Step-by-step explanation:

8/11  0.72727272727

Kyle is buying a book online for $14.58. It is on sale for 10% off. What is the sale price with a 8.25% tax?

Answers

First, find the discount by finding 10% of $14.58. To do this, convert 0% into a decimal and multiply by $14.58.

14.58 x 0.1 = 1.458.

Since this a sale price, how much he is getting off, subtract from the total.

14.58 - 1.458 = 13.122.

We still have to find the sales tax. Solving is similar to finding the discount.

13.122 x 0.0825 = 1.082565.

Now, since it is a tax, add to the total.

13.122 + 1.082565 = 14.204565

Round to the nearest hundredth, and you have $14.20.

The sale price with after tax is $14.20.

4 T =
fl OZ
(T = Tablespoons)

Answers

Answer:

2 fl oz

Step-by-step explanation:

Answer:

4 tablespoons is = to 2 fl oz

ANSWER ASAP PLEASE
Solve for x. 3x - 8 = 2(5 - x)
A) 2
B) 26
C) 3.6
D) 13​

Answers

You gotta get x by itself so it’s C 3.6

Solve the system by substitution.
y = -3x + 4
y = -7x
Submit Answer

Answers

Answer:

{y,x} = {7,-1}

Step-by-step explanation:

(-7x) + 3x = 4

- 4x = 4

 4x = - 4

x = - 1

   y = -7x

   x = -1

   y = -7(-1) = 7

1. What is the value of x?
A. 15
B. 30
C. 22.5
D. 45

2. What is mZNSP?
A. 25
B. 85
C. 15
D. 75

Answers

Answer:

d and ef

Step-by-step explanation:

efwfnhew'foehfnwekf;esf

What is the translation of the point to its image?
A (−1, 4)→ A' (3, 3)

Answers

Answer:

We conclude that the formula to determine the translation of the point to its image will be:

A (x, y) → A' (x+4, y-1)

Step-by-step explanation:

Given

Original point = A(-1, 4)The image of A = A'(3, 3)

In other words:

A (−1, 4) → A' (3, 3)

We need to determine the translation of the point to its image.

It is clear that the coordinates of the image A' (3, 3) of the original point A (−1, 4) can be determined by adding 4 units to the x-coordinate and subtracting 1 unit to the y-coordinate.

Thus, the translation of the point to its image will be:

A (x, y) → A' (x+4, y-1)

Verification

As A(-1, 4), so using the translation formula:

A (x, y) → A' (x+4, y-1)

A (-1, 4) → A' (-1+4, 4-1) = A' (3, 3)

Therefore, we conclude that the formula to determine the translation of the point to its image will be:

A (x, y) → A' (x+4, y-1)

In the coordinate plane, when you move an ordered pair (x,y) to the right, _______

A) the x values get larger
B) the x values get smaller
C) the y values get larger
D) the y values get smaller
What's the answer?

Answers

A. The x values get larger Bc your moving right on the x-axis

The x values get larger when you move (x, y) to right side. Therefore, option A is the correct answer.

What is the translation?

A translation in math moves a shape left or right and/or up or down. The translated shapes look exactly the same size as the original shape, and hence the shapes are congruent to each other. They just have been shifted in one or more directions.

Here,

Translation rules:

When the shape is moved towards the right by k units, then replace x with x + k.

When you move the ordered pair (x, y) to right, x value gets increased.

Therefore, option A is the correct answer.

To learn more about the translation visit:

https://brainly.com/question/17485121.

#SPJ3

Which of the following linear equations has exactly one solution?
OA = 2
OB +1 = 2
OC -1 = 3 - 2
OD 2+1= + 2

Answers

D the answer is because

please help! What is true about the graph on the interval from point c to point d?

Answers

Your selected answer is correct

Find the value of x.
(Reposted)

Answers

Answer:

one circle has a total angle of 360. Hence, 360-101= 3x+2+x-35

259=4x-33

292=4x

x=73 degrees

can someone help me with these two please , i’ll cashapp

Answers

3. 180 - (53+68) = 59

The answer is B. 59°

4.
Part A: The measure of a is 70°.

Explanation: The angle sum in any triangle is 180°. 70 + 40 is 110. To find the final angle, subtract 110 from 180. 180 - 110 = 70

Part B: The length of x is 5m.

Explanation. The triangle is an isosceles triangle. We know this because the two angles on the base are equal. Since this is an isosceles triangle, the two longer sides are the same length. Therefore: x = 5 m.

Which part of this graph shows a nonlinear relationship?

A. 4
B. 2
C. 3
D. 1

Answers

Answer:

D.1

Step-by-step explanation:

It's the only line with a curve.

Please help !!! I have no idea what I’m doing and can’t find anyone to teach me this

Answers

Answer:

The required equation in factored form is: [tex]\mathbf{y=-4(x+2)(x-1)}[/tex]

Step-by-step explanation:

In this question we need to find the equation of the graph in factored form.

The factored form will be: [tex]f(x)=a(x-r_1)(x-r_2)..[/tex]

where a is y-intercept and r₁, r₂ are x-intercepts

X-intercepts

When y=0, the values of x axis are known as x-intercepts

Y-intercepts

When x=0, the values of y-axis are known as y-intercepts.

Looking at the graph finding x-intercepts

When y=0 x=-2 and 1

So, we have

r₁ = -2

r₂ = 1

Looking at the graph finding y-intercepts

When x=0, y=-4

So, a = -4

Putting values in the formula we will get:

[tex]f(x)=a(x-r_1)(x-r_2)\\f(x)=-4(x-(-2))(x-1)\\f(x)=-4(x+2)(x-1)[/tex]

So, the required equation in factored form is: [tex]\mathbf{y=-4(x+2)(x-1)}[/tex]

Find the slope of the line that passes through A(–2, –1), B(–1, 1)

A)1/2
B)-1/2
C)-2/1
D)2/1

Answers

The answer is C! Hope I was able to help! If yes mark me brainly!

Help please I’ll give brainliest

Answers

Answer:

the answer is c

Step-by-step explanation:

write the equation of the lines fully simplified

Answers

Answer:

y=-4x-5

Step-by-step explanation:

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