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4 years ago

I need help with this?

Mathematics

1 answer:

antiseptic1488 [7]4 years ago

4 0

1.) 58

2.) 205

3.) 134

4.) 150

5.) 21

6.) 670

7.) 33

8.) 50/7 or 7 1/7

9.) 42

These are all your answers

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I need help i don't understand

ioda

Answer:

so simple

its given that,

first given the answer

3 0

2 years ago

X^5 + 243 divided by x+3

ch4aika [34]

-3   | 1   0   0   0   0   243 $\longleftarrow$ coefficients of the polynomial you're dividing
.     |                                   $\longleftarrow$ drop down the leading coefficient
- - - - - - - - - - - - - - - - - - -
.     | 1

On the left side of the frame, we write -3 because we're dividing by $x+3=x-(-3)$ . (The algorithm is followed for division of a polynomial by a factor of $x-c$ .) Since we're dividing a degree 5 polynomial by a degree 1 polynomial, we expect to get a degree 4 polynomial.

-3   | 1   0   0   0   0   243
.     |      -3                         $\longleftarrow$ multiply -3 by 1, write in next column, add to 0
- - - - - - - - - - - - - - - - - - -
.     | 1 -3

Repeat step for the remaining columns.

-3   | 1   0   0   0   0   243
.     |      -3   9
- - - - - - - - - - - - - - - - - - -
.     | 1 -3   9

-3   | 1   0   0      0   0   243
.     |      -3   9   -27
- - - - - - - - - - - - - - - - - - -
.     | 1 -3   9   -27

-3   | 1   0   0      0 0   243
.     |      -3   9   -27   81
- - - - - - - - - - - - - - - - - - - - -
.     | 1 -3   9   -27   81

-3   | 1   0   0      0 0 243
.     |      -3   9   -27   81 -243
- - - - - - - - - - - - - - - - - - - - -
.     | 1 -3   9   -27   81       0

which translates to

$\dfrac{x^5+243}{x+3}=x^4-3x^3+9x^2-27x+81$

So the bottom row of the frame gives the coefficients of each term in the quotient by descending order. Since the last coefficient is 0, this means the remainder upon division vanishes, i.e. $x^5+243$ is exactly divisible by $x+3$ .

- - -

Another way to get the same result is to use a well-known result: for $a+b\neq0$ ,

$a^5+b^5=(a+b)(a^4-a^3b+a^2b^2-ab^3+b^4)\implies\dfrac{a^5+b^5}{a+b}=a^4-a^3b+a^2b^2-ab^3+b^4$

and in this case $a=x$ and $b=3$

3 0

4 years ago

THE MARKED PRICE OF A BOOK IS ₹225 THE PUBILSHER ALLOWS DISCOUNT ₹ 10PERSENT UNIT FIND THE SELLING PROFIT

Free_Kalibri [48]

255-10

245 skaisusjxl ksusus

6 0

3 years ago

Read 2 more answers

Help and please explain (20 points, will reward brainliest :))

notka56 [123]

Answer:x=13

BMC=75 degrees

Step-by-step explanation:

（x+2）+（5x+10）=90 degrees

so 6x+12=90

x=13

5x+10=5x13+10=75 degrees

7 0

4 years ago

What is the common factor for the following monomials 12x to the third power 18x to the second power 6 x to the fourth power

hichkok12 [17]

$12x^3=\boxed{2}\cdot2\cdot\boxed{3}\cdot \boxed{x}\cdot \boxed{x}\cdot x\\\\18x^2=\boxed{2}\cdot\boxed{3}\cdot3\cdot \boxed{x}\cdot \boxed{x}\\\\6x^4=\boxed{2}\cdot\boxed{3}\cdot \boxed{x}\cdot \boxed{x}\cdot x\cdot x\\\\LCF(12x^3,\ 18x^2,\ 6x^4)=\boxed{2}\cdot\boxed{3}\cdot\boxed{x}\cdot\boxed{x}=6x^2\\\\Answer:\ \boxed{\boxed{6x^2}}$

6 0

3 years ago