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finlep [7]
3 years ago
13

Mutiply (7-6x^4)^2 what is the answer

Mathematics
1 answer:
babymother [125]3 years ago
5 0
The answer is 19. ok your welcome have a nice day
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<img src="https://tex.z-dn.net/?f=Find%20%7D%20%5Csum%20r%5E%7B2%7D%20%5Ccdot%7B%20%7D%5E%7B20%7D%20C_%7Br%7D%5Cend%7Bequation%7
Serggg [28]

I bet the sum you're referring to is supposed to be

\displaystyle \sum_{r=0}^{20} r^2 \times {}^{20}C_r

or equivalently,

\displaystyle \sum_{r=0}^{20} r^2 \binom{20}r

where \binom nk = \frac{n!}{k!(n-k)!} is the binomial coefficient.

Recall the binomial series,

(1+x)^\alpha = \displaystyle \sum_{r=0}^\infty \binom\alpha r x^r

which is valid for |x| < 1. (Note that if r > α, the binomial coefficient is defined to be zero, so there really are only α many terms when α is a whole number.)

Differentiating both sides with respect to x gives

\alpha (1+x)^{\alpha-1} = \displaystyle \sum_{r=0}^\infty r \binom\alpha r x^{r-1}

Multiply both sides by some arbitrary x in |x| < 1 :

\alpha x (1+x)^{\alpha-1} = \displaystyle \sum_{r=0}^\infty r \binom\alpha r x^r

Repeat:

\alpha (1+x)^{\alpha-1} + \alpha(\alpha-1) x(1+x)^{\alpha-2} = \displaystyle \sum_{r=0}^\infty r^2 \binom\alpha r x^{r-1}

\alpha x (1+x)^{\alpha-1} + \alpha(\alpha-1) x^2 (1+x)^{\alpha-2} = \displaystyle \sum_{r=0}^\infty r^2 \binom\alpha r x^r

Let α = 20, and let x approach 1 from below. The right side converges to the sum we want, while the left side converges to

20 \times 2^{19} + 20\times19\times 2^{18} = (20 + 10\times19)\times2^{19} = \boxed{210\times2^{19}}

5 0
3 years ago
Is this transformation a rigid motion? Last one! Thank you so much for helping me chemistryfan you literally saved me!!!
ss7ja [257]

Answer:

Not rigid motion

Step-by-step explanation:

The mapping rule is x,y --> x+3, 2y

It's not a translation , rotation, reflection, nor glide reflection.

Distance is not preserved

3 0
3 years ago
Write the expression shown below with the least amount of terms. <br>8y + 13 - 6y + 3y + 2​
Helga [31]

Answer:

5y + 15

Step-by-step explanation:

8y - 6y = 2y + 3y = 5y

13 + 2 = 15

4 0
3 years ago
WILL GIVE BRAINLIEST PLEASE HELP!!!
katovenus [111]
<span>
f(x)=2^(x-2) = 2^(-4) = 1/2^4  = 1/16

answer
</span><span>A.
f(x)=2^(x-2)</span>
8 0
3 years ago
Determine the domain of the function.
ziro4ka [17]
f(x)=\sqrt{1-x}\\\\The\ domain:1-x\geq0\ \ \ \ \ |subtract\ 1\ from\ both\ sides\\\\-x\geq-1\ \ \ \ \ |change\ signs\\\\x\leq1

Answer: C. x≤1.
7 0
3 years ago
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