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

Two students, Galen and Mai, worked on a project.
Galen worked for 3 2/3 hours.
Mai worked for 2 4/5 hours.
What was the total time spent on the project?
How much more time did Galen spend on the project than Mai?

Answers

Answer:

Mia worked 4/5 of an hour less than Galen.

or

Galen spent 4/5 of an hour more working on the project.

Step-by-step explanation:

First we have to find the LCM (Lowest Common Multiple) of 5 and 3 -

3: 3, 6, 9, 15, 18, 21, 24, 27, 30

5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50

We can see here, that the lowest common multiple is 15.

Now we need to convert the 2/3 and 4/5 into fractions that are equivalent to something fraction that has the denominator of 15.

2/3x5= 10/15

4/5x3= 12/15

So, now, the hours of work time of both Galen and Mia are having the same denominator, now, we can subtract.

3 10/15 - 2 12/15 = 12/15

Now, we understand that 12/15 was the amount of time Galen worked more than Mai. But, still, there is still more to do.

Suspense......

SIMPLIFY!!!

12/15 both come in 3's multiplication table.

12/15 divided by 3 = 4/5

Now, our final answer simplified is 4/5.

Thank You! Please Mark me Brainliest! Have a great day studying!

Please I need help I am so lost

Answers

Answer:

[tex] \sqrt{ \frac{25}{64} } \\ \\ \frac{ \sqrt{25} }{ \sqrt{64} } \\ \\ 25 \: equal \: to \: 5 {}^{2} \\ and \: 64 \: equl \: to \: 8 {}^{2} \\ \frac{ \sqrt{5 {}^{2} } }{ \sqrt{8 {}^{2} } } \\ = \frac{5}{8} [/tex]

so its + or - 5/8

Have a great day

I need help with this equation

Answers

i think it would be 1

50 = -1/3b + 20

what is b?

Answers

To find b, start by subtracting 20 from both sides:

50 = -1/3b + 20

-20 -20

30 = -1/3b

Now isolate b by dividing both sides by -1/3:

30/(-1/3) = (-1/3b)/(-1/3)

-90 = b

b is 90!

hope this helps !!

A line is drawn so that it passes through the points (-6,0) and (10,2). What is the slope of the line?

Answers

Answer:

hope you like my answer its -4

> Simplify the expression: | - 8 - ( + io)
5
12
4.
5
12
4.

Answers

-79/100 and the decimal form is -0.79

(a + b + 1)2
– (a + b + 1)(x - 2) + (a + b + 1)

Answers

Answer: 5a + 5b + 5 - x(a + b)

Step-by-step explanation:

(a + b + 1)2 – (a + b + 1)(x - 2) + (a + b + 1)

2a + 2b + 2 - (ax - 2a + bx -2b -2) + (a + b + 1)

2a + 2b + 2 - ax + 2a - bx +2b +2 + a + b + 1

5a + 5b + 5 - x(a + b)

heyyyyyyyyyy kinda need help asap sooooooo plz :)

Answers

Answer:

C and D are the most accurate/correct answers

Step-by-step explanation:

2(h+3.5)=-11. What is the value of h

Answers

Answer:

The value of h would be nine

9/2 divided by 2 = 9/2 x2

True or false

Answers

Answer:

false

Step-by-step explanation:

the answer would be false

your video game scores are 64, -13, 73, -5, and 36. what were your lowest and highest scores

Answers

Answer: -13 and 64

ghjfgkhkf

Answer:

The lowest score was -13, and the highest score was 73.

Explanation:

No explanation needed.

please help! Complete the function for this graph.

Answers

Answer:

y = - 2|x - (-2)| + 1  

Step-by-step explanation:

The general form of an absolute value function is y = a|x – h| + k, where a ≠ 0.

The value of a determines whether the graph opens up or down.  If a is negative, the graph opens down. This holds true, as the value of a = -2

The given graph for the absolute function has a vertex (h, k) of (-2, 1). This is the maximum point of the graph.  

Therefore, the missing values on the given equation is the value of the vertex.  It has to be written as  y = - 2|x - (-2)| + 1 because the equation on your given problem is formatted according to the general form of the absolute value function,  y = a|x – h| + k.  

Need the answer for numbers 4,8,and 12
Here’s the answers they could be!
There’s 4 of the answers that won’t be used

539.68
-438.75
22.54
136.6
79.38
-65.9
167.5

Answers

9514 1404 393

Answer:

  4) -438.75

  8) 539.68

  12) 22.54

Step-by-step explanation:

Put the values in place of the corresponding variables and do the arithmetic.

__

4) 6xy = 6(-7 1/2)(9 3/4) = -6(7.5)(9.75) = -438.75

__

8) I = prt = $2442 × 0.085 × 2.6 = $539.68

__

12) I = prt = ($578)(0.0325)(1.2) = $22.54

What is the slope of a line that is perpendicular to the line y = -1/2x + 5

Answers

To find the slope of a line perpendicular to another line, we simply need to find the inverse negative of the slope of the first one. This makes sense if you visualize it on a graph or in your head.

The slope of the line given is -1/2.

To find the inverse negative we first inverse the number, then take then negatuve of that (or opposite order).

The inverse of -1/2 is, -2 (switch the numerator and denominator or do to the power of -1, ^-1).

The negative of -2 is, 2.

Therefore the slope of the line perpendicular to y = -1/2x + 5 is 2.

Jared is trying to save up to buy a car. He has already saved $400. He makes $20 an hour (h) at his job.
Jared needs to have $1200 or more in order to puy the car he wants. How many hours will Jared have to
work in order to save enough money to buy the car?

Answers

Answer:

60 hours

**brianly pls

Step-by-step explanation:

the abc store sold 3 ukuleles for 30$. what is the unit price?

Answers

Answer:

$10 dollars per ukuleles

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

90 dollers and zero cents

Please I need this done quickly Explain the answer please

Answers

When writing an equation of a line, keep in mind that you ALWAYS need two pieces of information when you go to write an equation:
1. ANY point on the line
2. Slope (m)
3. Y-intercept (b)

Once you have these two pieces of information, you plug the x and y values from your point and the slope (m) value into the slope-intercept form, y = mx + b.


Start by solving for the slope of each line. We need two ordered pairs (x, y) from each line to solve for the slope:

Offer A:
(0, 400) and (80, 700)

Let (x1, y1) = (0, 400)
(x2, y2) = (80,700)

m = (y2 - y1)/(x2 - x1)
m = (700 – 400)/(80 – 0) = 300/80 = 15/4

Therefore, the slope (m) for Offer A = 15/4

Next, we need the y-intercept. The y-intercept is the y-coordinate of the point where the graph of the linear equation crosses the y-axis. The y-intercept is also the value of y when x = 0. One of the points we used for solving the slope for Offer A reflects the description for the y-intercept, which is point (0, 400). The y-coordinate is 400–this is the y-intercept of the line.

Now, we can establish the linear equation for Offer A: y = 15/4x + 400

Do the same steps for the other offer:

Offer B:
(0, 500)) and (100,900)
Let (x1, y1) = (0, 500)
(x2, y2) = (100,900)

m = (y2 - y1)/(x2 - x1)
m = (900 - 500)/(100 – 0) = 400/100 = 4

Therefore, the slope for Offer B is 4.

Next, we need the y-intercept. For Offer B, the line crosses at point (0, 500). The y-coordinate, 500 is the y-intercept (b) of the line.

The linear equation for Offer B is:
y = 4x + 500



**NOTE: please double-check the coordinates that I used for solving the slopes of each line before using my inputs. I had a slight difficulty going through the coordinates of your graph because it’s a bit blurry (using my phone to write this post).

Please mark my answers as the Brainliest if you find my explanations helpful :)

A tank is in the shape of a cylinder 7 feet tall and 10 feet and radius find the exact surface area of the tank

Answers

Answer:

[tex]2036.75088022^{2}[/tex] or [tex]2036.8^{2}[/tex] rounded to the nearest tenth

Step-by-step explanation:

1. Find the area of the base and the top, which are circles.

Area of circle : [tex]\pi 10^{2}[/tex] = 986.960440109

There are 2 circles, soooooo....= 986.960440109 x 2 = 1973.92088022

2. Find the rest of the area of the cylander.

So, we have to find the circumference of the circle.

Circumference :2[tex]\pi[/tex]10 = 62.83

3. Multiply circumference by height.

62.83 x 7 = 439.81

4. Add all of the products.

439.81 + 1973.92088022 = [tex]2036.75088022^{2}[/tex] or [tex]2036.8^{2}[/tex] rounded to the nearest tenth

please I need help. I dont understand this. its past due! ​

Answers

Answer:

1) x= -8

2) x=7

Step-by-step explanation:

1) x+88+x+108 = 180 ( co-interior angles)

=> 2x+ 196 = 180

=> 2x= 180-196

=> 2x= -16

=>x= -16/2

=>x= -8

2) 7x+6=8x-1

=>7x-8x= -1-6

=>-x= -7

=>x= 7

Write x2 + 6x +13 in the form (x + a)

2 + b where a and b are integers.

Answers

Step-by-step explanation:

a and b are not integers

[tex] {x}^{2} + 6x + 13 = 0 \\ x = - 3 \pm2i[/tex]

[tex]a \: \in \mathbb{C}[/tex]

[tex]b \: \in \mathbb{C}[/tex]

The function his a quadratic function whose graph is a translation 7 units left and 9 units up function f(x) = x². What is the equation of h in vertex form and in the form y = ax²+bx+c?​

Answers

Warm Up For each translation of the point (–2, 5), give the coordinates of the translated point. 1. 6 units down (–2, –1) 2. 3 units right (1, 5) For each.

I’ll give brainliest plz help me

A kitten weighs 84 grams and gains 12 grams each day. The kitten's weight is
a linear function of time. Which statement best describes the rate of change
and initial value of this function?

A. The rate of change is the number of grams gained per day, and the
initial value is the first day.

B. The rate of change is the number of grams gained per day, and the
initial value is the starting weight.

C. The rate of change is the starting weight, and the initial value is
the number of grams gained per day.

D. The rate of change is the number of days per gram gained, and the
initial value is the first day.

Answers

B. The rate of change is the number of grams gained per day, and the
initial value is the starting weight.

Answer:

B.The rate of change is the number of grams gained per day, and theinitial value is the starting weight.

Step-by-step explanation:I GOT IT RIGHT

HElp K 12 test! Will give brainiest PLS HELP!!!!

1. Which product is negative?


a. −6⋅(−7)⋅(−8)⋅0


b. −2⋅(−7)⋅12⋅(4)


c. −3⋅(−2)⋅(−4)⋅(−7)


d. 4⋅(−9)⋅(−3)⋅(−1)


2. Multiply.


−3⋅7



a. −21


b. −11


c. 11


d. 21


3.Multiply.


(−17)⋅(−6)



a. −102


b. −23


c. 23


d. 102


4. What is the product?


−5⋅(−3)⋅(−8)



a. −120


b. −16


c. 16


d. 120


5. What is the product?


4⋅(−9)⋅(−3)⋅(−1)



a. −108


b. −81


c. 81


d. 108

Answers

Answer:

1. d  2. a  3. d  4. a  5. a

Step-by-step explanation:

For 1, d is negative because, if there an even number of negatives, the answer will be positive. a. would have been correct, but you multiply that one by 0. 0 is not negative, so the answer has to be d.

2. is -21. You can multiply 3 times seven then make it negative, or simply add -7 together 3 times.

3. is d because the two negatives cancel each other out. Even numbers of negatives cancel each other out. therefore, 17 times 6 is 102.

4. -120 is the answer because there are 3 negatives. That is an odd number, so we know our answer is negative. -5 times -3 is 15, and 15 times -8 is -120.

5. is a because -1 times 4 is -4, then -4 times -9 is 36. 36 times -3 is then -108.

Translate this phrase into an algebraic expression.

17 increased by twice Gail’s savings.

Use the variable g to represent Gail’s savings.

Answers

Answer:23/18

Step-by-step explanation:

Seth is trying to find the unit price for a package of blank compact discs on sale at 10 for $5.49. Find his mistake and correct it.

Answers

Answer:

0.549

Step-by-step explanation:

He needed to flip the equation

A bird weighs 10 N and is standing 3 m up whats its GPE

Answers

Answer:

30 J

Step-by-step explanation:

Given : -

Height ( h ) = 3m

Weight ( W ) = 10 N

To find : GPE = ?

Note : -

GPE is Gravitational Potential Energy.

It is expressed in Joules ( J ).

Formula : -

W = mg

mg = 10 N

Formula : -

GPE = mgh

GPE = 10 x 3

GPE = 30 J

Therefore,

A bird weighs 10 N and is standing 3 m, it's

GPE is 30 J.

Answer:

The answer is GPE = 300 Nm (Newton meters)

Step-by-step explanation:

The bird's mass weighs to 10 Newtons.

Presuming this took place on Earth, the gravitational force is 10 Newtons.

The bird is standing 3 meters above the ground.

Using the GPE formula (GPE = mgw,) the answer should be 300 Newton metres.

What is 49.5x divided by 88

Answers

Answer:

0.5625

Step-by-step explanation:

Answer:
0.5625x

Isn’t really much of a step by step, in your calculator just put in the numbers divided by eachother then add the “x”.

Can someone pls help me out

Answers

Answer:

B

Step-by-step explanation:

They aren't similar

196/70=2.8

140/49=2.85714285714 (or 2.9)

A hot-air balloon descended 0.8 meters per second for 10 seconds. It
then climbed at 0.4 meters per second for 5 seconds.
What was the average rate of change in altitude per second?

Answers

Answer:

Step-by-step explanation:

we will use 0,8 in 10 seconds as thats the easiest.

for 10 to become 1 we move the decimel once to the right, 10/10

same will happen to 0.8,

10/10=1

0.8/10=0.08

The hot air-ballon climbs 0,08 meters per second

And ice cream company feels containers with 64 oz of ice cream the acceptable percentage of error and filling each ice cream container is 1.5% select all the expressions that could be used to find the greatest number of ounces of ice cream each container can hold

Answers

Hold times 2 2 more ice cream dived by 3 the answer is 26x6
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The will to be happy animates alike the philosopher, theprince and the chimney-sweep. No matter how dull, or how mean, or how wise a man is, he feelsthat happiness is his indisputable right.2 It is curious to observe what different ideals of happiness people cherish, and in what singularplaces they look for this well-spring of their life. Many look for it in the hoarding of riches, somein the pride of power, and others in the achievements of art and literature; a few seek it in theexploration of their own minds, or in the search for knowledge.3 Most people measure their happiness in terms of physical pleasure and material possession.Could they win some visible goal which they have set on the horizon, how happy they would be!Lacking this gift or that circumstance, they would be miserable. If happiness is to be someasured, I who cannot hear or see have every reason to sit in a corner with folded hands andweep. If I am happy in spite of my deprivations, if my happiness is so deep that it is a faith, sothoughtful that it becomes a philosophy of life,if, in short, I am an optimist, my testimony tothe creed of optimism is worth hearing....4 Once I knew the depth where no hope was, and darkness lay on the face of all things. Thenlove came and set my soul free. Once I knew only darkness and stillness. Now I know hope andjoy. Once I fretted and beat myself against the wall that shut me in. Now I rejoice in theconsciousness that I can think, act and attain heaven. My life was without past or future; death,the pessimist would say, a consummation devoutly to be wished. But a little word from thefingers of another fell into my hand that clutched at emptiness, and my heart leaped to therapture of living. Night fled before the day of thought, and love and joy and hope came up in apassion of obedience to knowledge. Can anyone who has escaped such captivity, who has feltthe thrill and glory of freedom, be a pessimist?5 My early experience was thus a leap from bad to good. If I tried, I could not check themomentum of my first leap out of the dark; to move breast forward is a habit learned suddenlyat that first moment of release and rush into the light. With the first word I used intelligently, Ilearned to live, to think, to hope. Darkness cannot shut me in again. I have had a glimpse of theshore, and can now live by the hope of reaching it.6 So my optimism is no mild and unreasoning satisfaction. A poet once said I must be happybecause I did not see the bare, cold present, but lived in a beautiful dream. I do live in abeautiful dream; but that dream is the actual, the present,not cold, but warm; not bare, butfurnished with a thousand blessings. The very evil which the poet supposed would be a cruel6) Read the last sentence from the text.Only by contact with evil could I have learned to feel by contrast the beauty of truth and love and goodness.Explain how Helen Keller develops this idea in the text. Use specific details tosupport your answer.