2x^3-3x^2+kx-1 is divided (x-1),the remainder is 2 find k

Answers

Answer 1

Answer:

k = 4

Step-by-step explanation:

if f(x) is divided by (x - h) then f(h) is the remainder

f(x) = 2x³ - 3x² + kx - 1

divided by (x - 1) , so h = 1 , then

2(1)³ - 3(1)² + k(1) - 1 = 2

2 - 3 + k - 1 = 2

- 2 + k = 2 ( add 2 to both sides )

k = 4


Related Questions

The mean grade on a test taken by 15 students was 70. When one more student
took the test, the mean for all tests was raised to 71. What score did the last
student to take the test earn?

Answers

Answer:

the scorce of the neww student is 72

Step-by-step explanation:

if you have a mean of 70 + 72 as the score then divide by 2 you get 71.

Answer:

70% to 79% would get you a grade around a C -

Please help!!!!!!!!!!!!!!!!!!!!

Answers

f(3)=g(3)

both intersect at (3,6) but the x coordinate is 3 for both

This week Oreo cookies are on sale: 2 packages for $5.
Normally, Oreo cookies cost $3.29 per package. How
much money will Sally save if she buys 4 packages of
Oreos this week instead of next week?

Answers

Sally will save $3.16 if she buys 4 packages of oreos this week.
THIS week 4 packages of Oreos will cost Sally $10. This is because 2 packages cost $5 dollars, but Sally is buying twice the amount of packages(which means the price will also be twice the amount it is). NEXT week, the 4 packages will cost sally $13.16. This is because, without the sale one package of oreos cost $3.29. The price will be multiplied by 4 because sally is buy 4 packages. To find how much money Sally is saving on Oreos by buying them during the sale, just subtract the cost of the cookies during the sale from the cost of the cookies regularly. ($13.16 - $10 = $3.16) Sally is saving $3.16 dollars

Let the graph of g be a translation 4 units down followed by a reflection about the y-axis of the graph of f(x)=−3x +2
Write a rule for g.

Answers

Answer:

[tex]g(x)=f(-x)-4[/tex]

Step-by-step explanation:

Hi there!

We're given that [tex]f(x)=-3x +2[/tex].

g(x) is f(x) translated 4 units down. Subtract 4 from f(x):

[tex]g(x)=f(x)-4[/tex]

It is also reflected about the y-axis. This makes all values of x negative:

[tex]g(x)=f(-x)-4[/tex]

I hope this helps!

According to a study done by a university​ student, the probability a randomly selected individual will not cover his or her mouth when sneezing is 0.267 . Suppose you sit on a bench in a mall and observe​ people's habits as they sneeze.

​(a) What is the probability that among 12 randomly observed individuals exactly 6 do not cover their mouth when​ sneezing?

​(b) What is the probability that among 12 randomly observed individuals fewer than 4 do not cover their mouth when​ sneezing?

​(c) Would you be surprised​ if, after observing 12 ​individuals, fewer than half covered their mouth when​ sneezing? Why?

​(a) The probability that exactly 6 individuals do not cover their mouth is

=blank

​(Round to four decimal places as​ needed.)

​(b) The probability that fewer than 4 individuals do not cover their mouth is

=blank

​(Round to four decimal places as​ needed.)

​(​c) Fewer than half of 12 indiv

Answers

1347 thank you for your question

What’s the answer to this

Answers

Answer:

[tex]x = 2 \\y = 3[/tex]

Step-by-step explanation:

The sum of three consecutive odd integers is 237.what are the integers

Answers

Answer:

let the 1st number be x

then second number is x+2

then third number is x+2+2

according to question

sum of three consecutive odd integers is 237.

hence, x+x+2+x+2+2=237

3x+6=237

3x=237-6

3x=231

x=231/3

x=77

therefore 1st integer is 77

2nd integer is 77+2=79

3rd integer is 77+2+2=81

Answer:

77, 79, 81

Step-by-step explanation:

You can represent the equation as follows:

x + x + 2 + x + 4 =237

Combine like terms.

3x + 6 = 237

Subtract 6 from both sides.

3x = 231

Divide both sides by 3.

x = 77

Now, add 2 to 77 to determine the second integer.

77 + 2 = 79

Add 4 to 77 to determine the third integer.

77 + 4 = 81

What is the point-slope form of a line that has a slope of 5 and passes through the point (3, –4)?

Answers

Answer:

y + 4 = 5(x - 3)

Step-by-step explanation:

y + 4 = 5(x - 3)

I need the answers noww plz​
all of them plzzz

Answers

Answer:

1.

a. 70

b.40

c.130

d.130

e.95

f.115

2.

a.102

b.40

c.80

Hope it helps .

plz mark me brainest and follow me to get the answer faster.

Step-by-step explanation:

1.

a. Isosceles right triangle

a° = 180 - (90 + 20)

a° = 180 - 110 = 70

b. Isosceles acute triangle

a° = 180 - (70+70)

a° = 180 - 140 = 40

c. The three angles inside a triangle always add up to 180°

∠A = 180 - (70 + 60)

∠A = 180 - 130

∠A = 50

so a° = 180 - 50 = 130

d. Isosceles acute triangle

∠A = 180 - (65 + 65)

∠A = 180 - 130

∠A = 50

so a° = 180 - 50 = 130

e. The angles of a rectangle add up to 360°

a° = 360 - (100 + 95 + 70)

a° = 360 - 265

a° = 95

f. The angles of a rectangle add up to 360°

2a° = 360 - (70 + 60)

2a° = 360 - 130

2a° = 230

a° = 115

2.

a. Straight angle is 180°

180 - 141 = 39

so x° = 180 - (39 + 39)

x° = 180 - 78

x° = 102

b. The three angles inside a triangle always add up to 180°

180 - (40 + 60)

180 - 100 = 80

opposite angle

x° = 180 - (80 + 35)

x° = 180 - 115 = 65

c. The angles of a rectangle add up to 360°

(x + 20)° + x° = 360 - (90 + 90)

(x + 20)° + x° = 360 - 180

(x + 20)° + x° = 180

x° = 80

please give me a brainliest answer

Sami has a set of cards. When she separates the cards into groups of 19, she has 36 groups of cards. How many groups of cards would Sami have if she separated them into groups of 12 instead?

Answers

Answer:

57 groups

Step-by-step explanation:

36*19=684

684÷12=57

ASAP!!!!

Find the missing angle values show work.complete sentence

A. Angle a = ____
b. angle b = ____
c. angle c = ____
d. angle d = ____
e. These angles together make a complete rotation/a circle.What do you get when you add all the angles together.What does this number have to do with a circle?

Answers

Answer:

Step-by-step explanation:

Angle a = 35°

Angle b = 40°

Angle c = 35°

Angle d = 70°

When you add all the angles together, you get 360°. This number has to do with a circle because 360° is the total number of degrees in a circle, half of a circle would be 180°.

Hope this helps!

Answer:

∠a = 35

∠b = 40

∠c = 35

∠d = 70

Step-by-step explanation:

∠b =  40   {Vertical angles are congruent}

∠d = 70  {Vertical angles are congruent}

∠1 = ∠ a

∠2 = ∠c

∠1 = ∠2

So, ∠1 =∠2 = ∠a = ∠c

70 + 40 + ∠a + ∠2 = 180   {Straight line angle}

110 + 2∠a = 180              {∠a =∠2}

         2∠a = 180 - 110

          ∠a = 70/2

∠a = 35

∠1 =∠2 = ∠a = ∠c = 35

e) When we add all the angles, we get 360.

i need help with geometry plz

Answers

Answer:

Point A is -2, 1

Point B is -4, -2

Point C is -4, -6

and D is -1, 3.

Step-by-step explanation:

Irdk if this is all right bcz its kinda hard to see the exact points. Hope it is tho, and hope it helps you out! Good luck :P

Amy cut 32 feet of chain into pieces that were each ft long. How many of these pieces did Amy have after cutting the chain?

Answers

If they are all a foot long then she should have 32 pieces of Chain
128 I think bc Amy cut 32 feet of the chain

Can someone tell me the answer to this please

Answer choice D is incorrect

Answers

Answer:

B) dilation of 1.5

Step-by-step explanation:

yes

Answer:

Dilation of 1.5

Step-by-step explanation:

The way I do these equations is pick one coordinate axis and work with that. So for point K, it goes from X & Y coordinate 1 to 1.5, Point I goes from Y coordinate 2 to 3, and Point J goes from y coordinate 2 to 3 again.

Type a digit that makes this statement true.
936,44_
is divisible by 10.

Answers

Answer:

0

Step-by-step explanation:

Any number that ends with a zero is divisible by ten

2 1/6 - (-8/3) + (-4 7/9)

Answers

Step-by-step explanation:

please mark me as brainlest

Dallia earns $108.75 for working 15 hours as a holiday helper for wrapping gifts. At this rate how much money will she earn if she works 18 hours the next week? Explain

Answers

She will earn $130.5 dollars.

First we find how much she makes per hour.
108.5/15=$7.25 per hour.

Then we take $7.25 per hour and she will work 18 hours next week so,
7.25•18=130.5 considering the same rate.

Now we can also make an equation which is,
7.25x=y in which x is the number of hours worked and y is the amount earned.
7.25(18)=130.5 :)

What is the value of |PS|​

Answers

Answer:

if i draw a line from s ro hg then its value should be 12 cm. and should form a right angle triangle. it is not fulfilling pytgogerous property..

HELP ASAP GIVE AN EXPLANAYION.
Starla said it is not possible to a perfect square that is a negative number. Do you agree? Explain.

Answers

A perfect square is a number such as 4,9 and 16 that is the product of an integer(whole number) multiplied by itself. For example 4 is the product of 2*2.

A number cannot be negative if an even amount of numbers are negative that are being multiplied by each other. Thus a perfect square cannot be negative. Even if you multiply two negative numbers the product is positive.

Ohio City Burgers charges $6.75 for a
burger plus $.75 for each additional
topping.
Write an equation to determine
how many toppings you can get
with a total of $10.

Answers

Answer: x = (10 - 6.75) ÷ 0.75

Step-by-step explanation:

x stands for the maximum number of toppings you can afford.

10 stands for the amount of money you have (10$).

6.75 is the amount of money spent on the Burger alone.

0.75 is the money spent on each topping with your remaining money.

Please help, you just find the answer and follow the arrow that the answer was on and continue until you reach the finish block.

Answers

Answer:

i cant see the question do u mind stating it?

0.1 is 1/10 of what??///

Answers

Answer:

0.1 is 1/10 of 1as 1 divided by 10 is 0.1so the answer is 1 hope this helps

Step-by-step explanation:

At a particular restaurant, each slider has 225 calories and each chicken wing has 70 calories. A combination meal with sliders and chicken wings has a total of 7 sliders and chicken wings altogether and contains 1110 calories. Write a system of equations that could be used to determine the number of sliders in the combination meal and the number of chicken wings in the combination meal.

Answers

Answer:

The appropriate equation for the above mentioned conditon would be

x+y=7

225x+70y=1110

Step-by-step explanation:

As mentioned in the question the meals contain just two delicacies (i.e. sliders and chicken wings)

Let the number of Sliders be represented by “x”

Let Number of Chicken wings be represented as “y”

As given in the question the total number of sliders and chicken wings equals 7

Hence  x + y =7… Equation 1  

Further, it is mentioned that each slider carries worth 225 calories of energy and chicken wing carries 70 calories of energy. Total calorie of a meal which contains sliders and wings is 1110 calories.

Thus, Total energy carried by sliders individually = total sliders* energy carried by one slider= 225x

Similarly, Total energy carried by wings individually = total chicken wings* energy carried by one wing= 70y

Thus 225x+70y=1110

∠1 and ∠2 are complementary angles. m∠1 is 5y+32 and m∠2 is 7y-14. Find m∠2 & show your work.

it was deleted last time I posted it??? ​

Answers

m<1+m<2=90

[tex]\\ \sf\longmapsto 5y+32+7y-14=90[/tex]

[tex]\\ \sf\longmapsto 12y+18=90[/tex]

[tex]\\ \sf\longmapsto 12y=72[/tex]

[tex]\\ \sf\longmapsto y=6[/tex]

m<2=7(6)-14=42-14=28[/tex]

The required value of m∠2 would be 30 degrees when the value of y = 6 due to the given pair of angles being complementary.

What are complementary angles?

The complementary angles are defined as when pairing of angles addition to 90° then they are called complementary angles.

We have been given that the pair of angles as

(5y + 32)° and (7y - 14)°

∵ ∠1 and ∠2 are complementary angles

Here, the pairing of angles sums up to 90° then they are called complementary angles.

So 5y + 32 + 7y - 14 = 90°

⇒ 12y + 18 = 90

⇒ 12y = 72

⇒ y = 6

So m∠2 = 7y - 14

Substitute the value of y = 6 in the above equation, and we get

So m∠2 = 7(6) - 14 = 42 -12 = 30

Therefore,  the value of m∠2 would be 30 degrees when the value of y = 6.

Learn more about the complementary angles here:

brainly.com/question/5708372

#SPJ5

Help me please show me step by step how to do this it is due soon

Answers

Answer:

9x-2=5x+54

9x-5x=54+2

4x=56

4x/4=56/4

x= 14

180-124=56°

10y+6=56

10y=56-6

10y=50

10y/10=50/10

y=5

You ride your bike 1 3 10 mi to school. At the end of the day, you stop at a park on the way home. The park is 2 5 mi from school. Question: How far is the park from your house? Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.

Answers

Answer:

124

Step-by-step explanation:

wood

(LCD) 5/8 of and 1/20

Answers

Answer:

40

Step-by-step explanation:

LCM OF 8 and 20 is:

8 = 2 * 2 * 2

20 = 2 * 2 * 5

LCM = 2 * 2 * 2 * 5

        = 40

Hence, the LCD is 40

Feel free to mark this as brainliest! :D

Solve the following equation:
z+9/3(z+5) = -2​

Answers

Answer:

Hence, the value of z is -39/7.

Step-by-step explanation:

[tex]\sf \leadsto \dfrac{z + 9}{3(z + 5)} = -2[/tex]

[tex]\sf \leadsto \dfrac{z + 9}{3z + 15} = -2[/tex]

[tex]\sf \leadsto z + 9 = -2(3z + 15)[/tex]

[tex]\sf \leadsto z + 9 = -6z - 30[/tex]

[tex]\sf \leadsto z + 6z = -30 - 9[/tex]

[tex]\sf \leadsto 7z = -39[/tex]

[tex]\sf \leadsto z = \dfrac{-39}{7}[/tex]

Help please, totally don't know the answer to this.

Answers

Answer:

5 shirts

Step-by-step explanation:

30.60 / 6.12 = 5

5 shirts because $6.12 x 5 gives you $30.60

Which statement about rational numbers is true?
A. All rational numbers are fractions.
B. Rational numbers never have repeating decimals.
C. Some integers are not rational numbers.
D. All fractions containing integers are rational numbers.

Answers

Answer:

A

Step-by-step explanation: Because they can be written as a decimal

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