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3 years ago

Select all that apply.

Mathematics

2 answers:

olchik [2.2K]3 years ago

5 0

15:11,this is right answer

Usimov [2.4K]3 years ago

4 0

First and second one

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Emma makes a poster for the schools spring concert she divides the poster into 8 equal parts she uses two if the parts for the t

V125BC [204]

2/8 or 1/4. 1/4 is just simplified. I hope it helps!

7 0

3 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

There are 42 males and 67 females participating in a marathon. What percent of the participants are male?

ch4aika [34]

Answer:

45,78%

Step-by-step explanation:

42 + 67 = 109

109 x 42 / 100 = 45,78 %

5 0

4 years ago

Read 2 more answers

Simplify the expression. (3.14×107)×(1.3×10−3)÷0.2<br> Scientific notation PLS!

marusya05 [52]

$3.14 \times 107 = 335.98$
$(335.98) \times (1.3 \times 10 - 3) \div 0.2$
$1.3 \times 10 = 13 - 3 = 10$
$(335.98) \times (10) \div 0.2$
$335.98 \times 10 = 3359.8$
$3359.8 \div 0.2 = 16799$
$1.6799 \times {10}^{4}$

5 0

3 years ago

Need hellpppp pleeaase

crimeas [40]

Answer:

what do u need help wirth

Step-by-step explanation:

4 0

3 years ago