Find the remainder when x^30-2x^3+5 is divided by x+1.

Answers

Answer 1

Step-by-step explanation:

x³⁰ - 2x³ + 5 / x + 1 = x²⁹-x²⁸+x²⁷-x²⁶+x²⁵ ... -x⁴+x³

- x³⁰ + x²⁹ -3x²+3x-3

-----------------------

0 - x²⁹-2x³

- - x²⁹-x²⁸

-----------------------

0 x²⁸-2x³

...

- -x⁵-x⁴

----------------------

0 x⁴-2x³

- x⁴+ x³

-----------------------

0 -3x³+5

- -3x³-3x²

-----------------------------

0 3x²+5

- 3x²+3x

-----------------------------------

0 -3x+5

- -3x -3

------------------------------------

0 + 8

the remainder is 8


Related Questions

Show all work and express your answers in scientific notation.

2.4 hours = ____________ seconds

Answers

Answer:

8640

Step-by-step explanation:

Take 2.4 hours, And 1 hour is 60 minutes, and 1 minute has 60 seconds, so 1 hour has 3600 seconds, Do one more hour and you have 7200 seconds, Now you need to add another .4 hours, .4 hours is equal to 40 minutes, so how many seconds are in 40 minutes? 1440 seconds are in 40 minutes, so add 7200 and 1440 and you get 8640.

please help! absolute value problem

Answers

Answer:

first blank: -x

second blank x

Step-by-step explanation:

Enter the number in scientific notation. 33,254 = x10​

Answers

Answer:

33254=3.3254*10^4

Step-by-step explanation:

You use the hint

What is the equation of the linear model in point-slope form that includes the point (-3, 1) and has a slope of 3?
Please show work for brainliest

Answers

Answer:

A) You would use the two points that are closest to the graphed line

(2,7) and (8,13)

B) Slope = change in Y over the change in X:

Slope = (13-7) / (8-2) = 6/6 = 1

Slope = 1

c) Point slope is written as y -y1 = m(x-x1) where m is the slope y1 is the first Y value and x1 is the first x value.

Equation is: y-7 = x-2

d) To rewrite y -7 = x-2 in slope intercept form, you need to isolate y.

To isolate Y add 7 to both sides:

y = x +5

Step-by-step explanation:

The equation of line which passes through point (-7,-2) and having slope 3 is y = 3x + 10.

What is Algebraic expression ?

Algebraic expressions are numbers expressed using letters or alphabets without specifying their values. Algebra taught us how to express unknown values using letters such as x, y, and z. There can also be a single value that is placed before and multiplied by a variable in an algebraic expression in addition to these letters, which are called variables.

Here, it is given that line passes though point (-3,1) and having slope of 3.

Now, Let us find the equation of the line using point-slope equation of line :

(y-y₁) = m(x-x₁)

Substituting all the values in above equation to get the equation of line :

(y-1) = 3(x-(-3))

y -1 = 3x + 9

y = 3x + 9 + 1

y = 3x + 10

Therefore, the equation of line which passes through point (-7,-2) and having slope 3 is y = 3x + 10.

check and know more about line here :

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I don't need this for school i Just want to see if people can help me with my other studies with a test question. I know this is easy but i Want to ask So...

Billy's dad gets:6,59€a day. And now he has made 408,58€ how many days did he work? ​

Answers

Answer:

what thats a math question

Step-by-step explanation:

Line f passes through points (8, 7) and (3, 10). Line g passes through points (5, 7) and (10, 4). Are line f and line g parallel or perpendicular?

Answers

Answer: Parallel

Step-by-step explanation:

First find slope.

Line f: [tex]\frac{10-7}{3-8} =-3/5[/tex]

Line g: [tex]\frac{4-7}{10-5}=-3/5[/tex]

Since the slopes are the same, the lines are parallel.

First we need to find the slope of each line

Slope of line f

(8 , 7)  (3 , 10)

[tex]slope = \frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]

[tex]slope = \frac{10-7}{3-8}[/tex]

[tex]slope = \frac{3}{-5}[/tex]

[tex]slope=-\frac{3}{5}[/tex]

Slope of line g

(5 , 7)  (10 , 4)

[tex]slope = \frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]

[tex]slope = \frac{4-7}{10-5}[/tex]

[tex]slope = \frac{-3}{5}[/tex]

[tex]slope=-\frac{3}{5}[/tex]

The two lines have the same slope therefore they are not perpendicular but instead parallel to each other.

Solve for x
6.5 (3 – 2) + 22 = 92 - 1.5 (3x + 11)
Enter your answer in the box.
X=

Answers

Answer is: x = 10.44....

What is the length of time
passed from 7:30 a.m. to 4:30 p.m.?

Answers

Answer:

9 hours

Step-by-step explanation:

12 minus 7.5 equals 4.5 add 4.5 from 4:30 you get 9

Use the function f(x) = –2|5-x| – 13 to evaluate f (6).

Answers

Answer:

-15

Step-by-step explanation:

-2 |5 - x| - 13

-2 |5 - 6| - 13

-2|-1| - 13

-2 - 13

-15

Hopefully this helps!

Brainliest please?

solve the fallowing system of equations for x
x+2y=4
x-2y=12

Answers

Step-by-step explanation:

x+2y=4

x-2y=12

______ ( add both equation)

2x = 16

x= 16/2

x= 8

Hope it helps ya

hmmmmmmmmmmmmmmmmmmm help for 30

Answers

Answer:

pants: 28.8 jacket: 7.2

Step-by-step explanation:

4/5 (36) = 28.8

36 - 28.8= 7.2

50 points
Select all values that make the equation true.

2(x−8)=x+5x

Answers

Answer:

x= -4

Step-by-step explanation:

what is the GCM of 9 and 7

Answers

Answer: See explanation

Step-by-step explanation:

Do you mean the greatest common factor (GCF), or the lowest common multiple (LCM).

If you mean GCF, then it is 1 because 7 is a prime number and has two facotrs (1 and itself) and since 9 isn’t divisible by 7, the GCF must be 1.

If you mean the LCM, the answer is 63. Using prime factorisation, we find the lowest prime factor of both numbers:

9 = 3^3

7= 7^1

Then, we multiply these together to give 63.

You cannot have a GCM, because you can’t find a greatest common multiple as numbers go on forever.

I hope this helps!

help please for the answer ​

Answers

Step-by-step explanation:

3x+2x+10+2x+5+2x-15 = 360

9x+15-15=360

9x=360

x=40.

3x=3×40=120°2x+5=2×40+5=80+5=85°2x+10=2×40+10=80+10=90°2x-15=2×40-15=80-15=65°.

hope this helps you.

Answer:

2x° + 10° = 90°

3x° = 120°

2x° + 5° = 85°

2x° - 15° = 65°

Step-by-step explanation:

360° = 3x° + 2x° + 5° + 2x° + 10° + 2x° - 15°

360° = 3x° + 2x° + 2x° + 2x° + 5° + 10° - 15°

360° = 9x°

9x° = 360°

x° = 360° : 9

x° = 40°

2x° + 10°

= 2(40°) + 10°

= 80° + 10°

= 90°

3x°

= 3(40°)

= 120°

2x° + 5°

= 2(40°) + 5°

= 80° + 5°

= 85°

2x° - 15°

= 2(40°) - 15°

= 80° - 15°

= 65°

#LearnWithEXO

what is the value of c such that the line y=2x+3 is tangent to the parabola y=cx^2

Answers

The value of [tex]c[/tex] such that the line [tex]y = 2\cdot x + 3[/tex] is tangent to the parabola [tex]y = c\cdot x^{2}[/tex] is [tex]-\frac{1}{3}[/tex].

If [tex]y = 2\cdot x + 3[/tex] is a line tangent to the parabola [tex]y = c\cdot x^{2}[/tex], then we must observe the following condition, that is, the slope of the line is equal to the first derivative of the parabola:

[tex]2\cdot c \cdot x = 2[/tex] (1)

Then, we have the following system of equations:

[tex]y = 2\cdot x + 3[/tex] (1)

[tex]y = c\cdot x^{2}[/tex] (2)

[tex]c\cdot x = 1[/tex] (3)

Whose solution is shown below:

By (3):

[tex]c =\frac{1}{x}[/tex]

(3) in (2):

[tex]y = x[/tex] (4)

(4) in (1):

[tex]y = -3[/tex]

[tex]x = -3[/tex]

[tex]c = -\frac{1}{3}[/tex]

The value of [tex]c[/tex] such that the line [tex]y = 2\cdot x + 3[/tex] is tangent to the parabola [tex]y = c\cdot x^{2}[/tex] is [tex]-\frac{1}{3}[/tex].

We kindly invite to check this question on tangent lines: https://brainly.com/question/13424370

What’s the answer???????

Answers

Answer:

77

Step-by-step explanation:HOPE YOU ADD JRVERANO2010

A unit to express volume is?

Answers

Answer:

Please mark Brian List The answer is Cubic units

Answer:

The unit used to express volume is cubic units

any unit but it should be cubic

like cm³ ml³

I don't really understand what I suppose to do here so please help me with the question​

Answers

Answer:

look at the time for example, B's time is constant because it isn't skipping numbers like 1, 5, 3,etc.

the height is also constant because it is dividing each number by 2, 60÷2=30, 30÷2=15, 15÷2=7.5. You will notice A is not constant so (no) but B is so (yes)

help me please anyone please

Answers

Answer:

b=5 m

Step-by-step explanation:

Which expression is equivalent to 0.75x?
A) 1 - 0.25%
B) 0.75x - X
CX + 0.75
D x - 0.25x

Answers

Answer:

C

Step-by-step explanation:

trust

The answer is D. x- 0.25x

If the number that we have is .75x, then we will only have 3 quarters of our total and will take one quart away. 25 is one quarter.

HOPE THAT HOPES! & don't forget to drink water!!

Write the equation for a line parallel to y = -2x+2 through (0,5)

Answers

Answer:

y=-1x+2?

Step-by-step explanation:

3x - 2y = 8
2x + 2y = -8

Answers

Answer:

(0, - 4 )

Step-by-step explanation:

3x - 2y = 8 → (1)

2x + 2y = - 8 → (2)

Adding (1) and (2) term by term will eliminate the y- term

5x + 0 = 0

5x = 0 , then

x = 0

Substitute x = 0 into either of the 2 equations and solve for y

Substituting into (2)

2(0) + 2y = - 8

0 + 2y = - 8

2y = - 8 ( divide both sides by 2 )

y = - 4

solution is (0, - 4 )

1. y=3/2x-4
2. y=-1x-4
Hope this helps :)

There are 35 boys in 6th grade. The number of girls in 6th grade is 40. Emma says that means the ratio of the number of boys in 6th grade to the number of girls in 6th grade is 3:4. Is Emma correct? If not, what is the correct answer?theses are the answers you chose froma: correct ratiob:7:8c: 5;8d: 8:7

Answers

Answer:

No, Emma is not correct.

Step-by-step explanation:

because if we put 35 and 42 in rational form we can write it to its simple form by dividing it

35 / 7 = 5

42 / 7 = 6

after dividing we get the answer as 5:6.

Hope it helps ☺️

Which situation results in a final value of zero?

the overall change in temperature when the temperature goes from -10°F to 10°F

the total profit made when a person buys an item for $3 and then sells the item for $3

the overall change in altitude of a hot air balloon after rising 21 kilometers from sea level

the total distance a person travels when he bikes 5 miles to school and then bikes 5 miles back home

Answers

B and D because 3-3 =0 and 5-5= 0.

Help me! It’s a short answer question!
12. Find the values of x, y, and z. The diagram is not to scale. (3 points)
360
130
630

Answers

Answer:

x = 81 degrees

<z = 99 degrees

<y = 68 degrees

Step-by-step explanation:

<x = 180 - 36 - 63 = 81 degrees

<x + <z = 180 degrees

81 + <z = 180

<z = 180 - 81

<z = 99 degrees

<y = 180 - 99 - 13

<y = 68 degrees

Find the value of x that makes p||q

Answers

Answer:

x = 30

Step-by-step explanation:

The angle on the opposite side as the identified angle (80°) is whatever is left over from 180° (which would be 100°). Therefore, the angle on the diagonally opposite side is identical.

what is the remainder of this polynomial function?

Answers

Answer: C

Step-by-step explanation:

Determine the place value of the digit 3 in the whole number. 30,500,421

Answers

Answer:

30,000,000 or Thirty million -------> Ten millions place

Step-by-step explanation:

Hope this helps!

Find the value of x

x - 2/3 = x - 6

Answers

There are no values of x to make this equation true

Select all the points of intersection between the graphs
of the functions f(x) = (x + 5)(x - 2) and
g(x) = (2x + 1)(x - 2).

Answers

Answer:

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

g(x)=(2x+1)(x-2).

x=10x+2

x=3x-2

x=12×+1

x=13

A function is defined as a relation between a set of inputs having one output each.

The point of intersection between the function f(x) and g(x) is x = 4.

What is a function?

A function is defined as a relation between a set of inputs having one output each.

We have,

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

g(x) = ( 2x + 1 ) ( x - 2 )

To find the points of intersection between the two functions we must equal the function.

f(x) = g(x)

( x + 5 ) ( x - 2 ) = ( 2x + 1 ) ( x - 2 )

( x - 2 ) gets canceled

x + 5 = 2x + 1

5 - 1 = 2x - x

4 = x

x = 4

This means that at x =4 the function f(x) and g(x) intersect.

we can see that at x = 4 both the functions have the same value.

f(x) = ( x + 5 ) ( x - 2 ) = ( 4 + 5 ) ( 4 - 2 ) = 9 x 2 = 18

g(x) = ( 2x + 1 ) ( x - 2 ) = ( 2 x 4 + 1 ) ( 4 - 2 ) = ( 8 + 1 ) ( 4 - 2 )

      = 9 x 2

      = 18

Thus the point of intersection between the function f(x) and g(x) is x = 4.

Learn more about functions here:

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