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3 years ago

Establece el producto cartesiano;representa en diagrama sagital y plano cartesiano M={a,b,c} N={4,8,12} ayuda

Mathematics

1 answer:

Elza [17]3 years ago

6 0

Answer:

-30

Step-by-step explanation:

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Find the first three terms in the expansion , in ascending power of x , of (2+x)^6 and obtain the coefficient of x^2 in the expa

Nataly_w [17]

Answer:

The first 3 terms in the expansion of $(2 + x)^{6}$ , in ascending power of x are,

$64 , 192 \times x^{1} {\textrm{ and }}240 \times x^{2}$

coefficient of $x^{2}$ in the expansion of $(2+x - x^{2})^{6}$ = (240 - 192) = 48

Step-by-step explanation:

$(2+x)^{6}$

= $\sum_{k=0}^{6}(6_{C_{k}} \times x^{k} \times 2^{6 - k})$

= $6_{C_{0}} \times x^{0} \times 2^{6} + 6_{C_{1}} \times x^{1} \times 2^{5} + 6_{C_{2}} \times x^{2} \times 2^{4}$ + terms involving higher powers of x

= $64 + 192 \times x^{1} + 240 \times x^{2}$ + terms involving higher powers of x

so, the first 3 terms in the expansion of $(2 + x)^{6}$ , in ascending power of x are,

$64 , 192 \times x^{1} {\textrm{ and }}240 \times x^{2}$

Again,

$(2+x - x^{2})^{6}$

= $\sum_{k=0}^{6}(6_{C_{k}} \times (2 + x)^{k} \times (-x^{2})^{6 - k})$

Now, by inspection,

the term $x^{2}$ comes from k =5 and k = 6

for k = 5, the coefficient of $x^{2}$ is , $(-32) \times 6$ = -192

for k = 6 , the coefficient of $x^{2}$ is, $6_{C_{2}} \times 2^{4}$ = 240

so, coefficient of $x^{2}$ in the final expression = (240 - 192) = 48

3 0

3 years ago

What is the local tax deducted for $562 biweekly with 2 1/2% tax? $14.05 $ $21.10 $28.10 $140.50

aksik [14]

The amount of tax that will be deducted will be A. $14.05

Amount given = $562
Tax percentage = 2 1/2%

In order to calculate the local tax that will be deducted, we've to multiply the amount that given by the tax percent and this will be:

= $562 × 2 1/2%

= $14.05

Therefore, the amount of tax that will be deducted will be $14.05

In conclusion, the correct option is A.

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brainly.com/question/25239215

7 0

2 years ago

F(x)=x-2, find the following

grin007 [14]

Answer:

Find the following what?

Step-by-step explanation:

4 0

3 years ago

8. What is the radius of a circle when the

Bezzdna [24]

Answer:

radius = circumference ÷ 2× po

Step-by-step explanation:

the radius is 2.55 but it's not in ur options

7 0

3 years ago

Read 2 more answers

6 is what percent of 8?

kvasek [131]

6 is 75% of 8. 6/8 can be simplified to 3/4, which is easier to see as 75%.

8 0

3 years ago

Establece el producto cartesiano;representa en diagrama sagital y plano cartesiano M={a,b,c} N={4,8,12} ayuda​

Establece el producto cartesiano;representa en diagrama sagital y plano cartesiano M={a,b,c} N={4,8,12} ayuda