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alina1380 [7]
3 years ago
13

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

Mathematics
1 answer:
pogonyaev3 years ago
5 0

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

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Find the median of the data.
kipiarov [429]

Answer:

  • 92.5

Step-by-step explanation:

<u>The data given:</u>

  • 93, 81, 94, 71, 89, 92, 94, 99

<u>Put the data in the ascending order:</u>

  • 71, 81, 89, 92, 93, 94, 94, 99

<u>Since the data size is even, the median is the average of middle two:</u>

  • median = (92 + 93)/2 = 92.5

4 0
3 years ago
What is the volume of a cone with a radius of 2 and a height of 19?
kykrilka [37]

Remember that the cone volume formula is V=\pi r^2\frac{h}{3} , with r = radius and h = height. Using our information, we can form our equation as such: V=\pi 2^2\frac{19}{3} (I'll be keeping the answer in pi form.)

Firstly, solve the exponents:V=\pi 4\frac{19}{3}

Next, multiply 4 and 19/3 together and your answer should be (rounded to the hundreths): V = 25.33π un^3

5 0
4 years ago
Read 2 more answers
For which value of x must the expression √37x be further simplified?
vekshin1

Answer:

37x

Step-by-step explanation:

Since it has a square root you can square it to get rid of it so your final answer is 37x

5 0
3 years ago
Factor the GCF: −12x4y − 9x3y2 + 3x2y3
monitta
Factor the coefficients:
-12=(-1)(3)(2^2)
-9=(-1)(3^2)
3=3

The greatest common factor (GCF) is 3

Next we find the GCF for the variable x.
x^4
x^3
x^2
The GCF is x^2.

Next GCF for variable y.
y
y^2
y^3
the GCF is y

Therefore the GCF is 3x^2y
To factor this out, we need to divide each term by the GCF,
(3x^2y)(−12x4y/(3x^2y) − 9x3y2/(3x^2y) + 3x2y3/(3x^2y) )
=(3x^2y)(-4x^2-3xy+y^2)     
if we wish, we can factor further:
(3x^2y)(y-4x)(x+y)
3 0
3 years ago
Hello please help with my question, I will give brainlyest!
lilavasa [31]

No, John is incorrect.

<h3>Correct work shown:</h3>

\sf x^2 - 6x - 7 = 0

\sf x^2 - 6x = 7

\sf x^2 - 6x  + 9= 7 + 9

\sf (x-3)^2= 16

\sf x-3=\pm \sqrt{16}

\sf x-3= \pm 4

\sf x= + 4 + 3 \quad or \quad x = -4 + 3

\sf x= 7 \quad or \quad x = -1

The correct answer should be x = 7 or x = -1

3 0
2 years ago
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