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iogann1982 [59]
4 years ago
14

Dividing polynomials. Aka the worst math subject ever (X^3+729) / (x+8)

Mathematics
1 answer:
Deffense [45]4 years ago
6 0

Answer:

x^2 - 8x + 64 remainder 217 or you could write it as

(x^2 - 8x + 64)+ 217/(x + 8)

Step-by-step explanation:

You first need to write the polynomial in descending order of degree with zero coefficients for x^2 and x terms, so here we have:

x^3 + 729  =   x^3 + 0x^2 + 0x + 729

So dividing by x+8:-

          x^2 - 8x + 64    <----------the quotient.

x + 8 ) x^3 + 0x^2 + 0x + 729

          x^3 + 8x^2

                 - 8x^2 + 0x

                 -8x^2 - 64x

                              64x + 729

                               64x + 512

                                          217 = Remainder.

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What are the coordinates of the vertex of the function f(x)=x^2+10x−3? (–5, –28) (–5, 28) (5, –28) (5, 28)
polet [3.4K]

Answer:

(-5,-28)

Step-by-step explanation:

Given

f(x)=x^2+10x - 3

Required

Find the coordinates of the vertex

Given that the function is a quadratic function;

The general form of a quadratic function is

f(x)= ax^2+bx +c

By comparison;

a = 1\ b = 10\ and\ c = -10

To calculate the coordinates of the vertex;

we start by calculating the x-coordinate;

x = \frac{-b}{2a}

Substitute 10 for b and 1 for a

x = \frac{-10}{2*1}

x = \frac{-10}{2}

x = -5

Substitute x = -5 in the given function;

y=x^2+10x - 3

y=(-5)^2+10*-5 - 3

y=25-50 - 3

y=-28

<em>Hence, the coordinates of the vertex is (-5,-28)</em>

6 0
3 years ago
Home help plz really appreciate it!!!!!
Schach [20]

Answer:

angle AGE=113.5

Step-by-step explanation:

3x-28=66-x

4x=94

x=23.5

23.5+90=113.5

4 0
3 years ago
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One gallon of water weighs about 8.34 pounds.<br><br> How much does 3.5 gallons of water weigh?
adelina 88 [10]

Answer:

i'm really smart i scored a on this topic

8.34 * 3 = 25.02

8.34 * 0.5 = 4.17

25.02 + 4.17 = 29.19

Step-by-step explanation:

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8 0
2 years ago
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The length of a rectangle is four times its width. if the perimeter of the rectangle is 80yd, find its length and width.
Vedmedyk [2.9K]
The length is 8. the width is 32. 

32(2) = 64

8(2) = 16

64+16 = 80 

So the length would be 8 and the width would be 32 since it's 4 times the length.

Hope this helped!
6 0
3 years ago
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Determine the value for x
Grace [21]

Answer:

5 im pretty sure

Step-by-step explanation:

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3 0
3 years ago
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