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3 years ago

Divide using synthetic division. x^4 – 4x^3 + x.^2 + 2/ x - 2

Mathematics

2 answers:

Ymorist [56]3 years ago

8 0

Answer: x-5

Step-by-step explanation:

ioda3 years ago

3 0

Answer:

2x^3 - 2x^2 - 3x -6 -(4/x^4 - 4x^3 + x^2 +2)

Step-by-step explanation:

x-2 = 0

since there is a missing x you have to put in a 0

2 | 1 -4 1 0 2

1 2 -4 -6 -6

1 -2 -3 -6 -4

x^3 x^2 x # remainder

bring down the 1 then multiply by 2 then add to -4

take the -2 multiply by 2 and add to 1 continuously do the samething

now take all the x's and go down one since you're taking out a x

put ing standard form

2x^3 - 2x^2 - 3x -6 -(4/x^4 - 4x^3 + x^2 +2)

i beleive that's the answer, good luck on whatever you're doing

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Suppose you just received a shipment of nine televisions. Three of the televisions are defective. If two televisions are randoml

Temka [501]

<h2>Answer:</h2>

The probability that both televisions work is: 0.42

The probability at least one of the two televisions does not work is:

0.5833

<h2>Step-by-step explanation:</h2>

There are a total of 9 televisions.

It is given that:

Three of the televisions are defective.

This means that the number of televisions which are non-defective are:

9-3=6

The probability that both televisions work is calculated by:

$=\dfrac{6_C_2}{9_C_2}$

( Since 6 televisions are in working conditions and out of these 6 2 are to be selected.

and the total outcome is the selection of 2 televisions from a total of 9 televisions)

Hence, we get:

$=\dfrac{\dfrac{6!}{2!\times (6-2)!}}{\dfrac{9!}{2!\times (9-2)!}}\\\\\\=\dfrac{\dfrac{6!}{2!\times 4!}}{\dfrac{9!}{2!\times 7!}}\\\\\\=\dfrac{5}{12}\\\\\\=0.42$

The probability at least one of the two televisions does not work:

Is equal to the probability that one does not work+probability both do not work.

Probability one does not work is calculated by:

$=\dfrac{3_C_1\times 6_C_1}{9_C_2}\\\\\\=\dfrac{\dfrac{3!}{1!\times (3-1)!}\times \dfrac{6!}{1!\times (6-1)!}}{\dfrac{9!}{2!\times (9-2)!}}\\\\\\=\dfrac{3\times 6}{36}\\\\\\=\dfrac{1}{2}\\\\\\=0.5$

and the probability both do not work is:

$=\dfrac{3_C_2}{9_C_2}\\\\\\=\dfrac{1}{12}\\\\\\=0.0833$

Hence, Probability that atleast does not work is:

0.5+0.0833=0.5833

4 0

4 years ago

What is the area to this??

jolli1 [7]

Answer:

30 units squared

Step-by-step explanation:

1/2(base)(height)

base=10

height=6

1/2(10)(6) = 5*6 = 30!

6 0

3 years ago

Read 2 more answers

Find the exact value of the remaining trigonometric functions given: Tan x = Undefined Sin x > 0

finlep [7]

Answer:

sin(x) = 1
cos(x) = 0
cot(x) = 0
csc(x) = 1
sec(x) = undefined

Step-by-step explanation:

The tangent function can be considered to be the ratio of the sine and cosine functions:

tan(x) = sin(x)/cos(x)

It will be undefined where cos(x) = 0. The values of x where that occurs are odd multiples of π. The smallest such multiple is x=π/2. The value of the sine function there is positive: sin(π/2) = 1.

The corresponding trig function values are ...

tan(x) = undefined (where sin(x) >0)

sin(x) = 1

cos(x) = 0

And the reciprocal function values at x=π/2 are ...

cot(x) = 0 . . . . . . 1/tan(x)

csc(x) = 1 . . . . . . .1/sin(x)

sec(x) = undefined . . . . . 1/cos(x)

3 0

2 years ago

How many solutions does 2/3 (3x - 15) = x - 10 have?

irina1246 [14]

Answer:

2/3 [3x - 15] =x-10

open the brackets first

[2/3 x3x] -[2/3 x15 =x - 15

2x - 10 =x - 10

put the like terms together

2x -x =-10 +10

x=0

Step-by-step explanation:

6 0

2 years ago

Three times a number increased by ten is equal to twenty

JulijaS [17]

Answer:

The number is 10/3

Step-by-step explanation:

<u>Step 1: Convert words into an expression</u>

Three times a number increased by ten is equal to twenty

(3n) + 10 = 20

<u>Step 2: Subtract 10 from both sides</u>

3n + 10 - 10 = 20 - 10

3n = 10

<u>Step 3: Divide both sides by 3</u>

3n / 3 = 10 / 3

n = 10/3

Answer: The number is 10/3

6 0

3 years ago

Read 2 more answers