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vichka [17]
3 years ago
6

What is 2(u+3v). ................​

Mathematics
2 answers:
sergeinik [125]3 years ago
6 0

Answer:

2(u+3v)

2 times u is 2u and then 2 times 3v is 6v.

2u+6v

sergij07 [2.7K]3 years ago
5 0
Equation = 2(u+3v)

Simplify to 2u + 6v

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Find a compact form for generating functions of the sequence 1, 8,27,... , k^3
pantera1 [17]

This sequence has generating function

F(x)=\displaystyle\sum_{k\ge0}k^3x^k

(if we include k=0 for a moment)

Recall that for |x|, we have

\displaystyle\frac1{1-x}=\sum_{k\ge0}x^k

Take the derivative to get

\displaystyle\frac1{(1-x)^2}=\sum_{k\ge0}kx^{k-1}=\frac1x\sum_{k\ge0}kx^k

\implies\dfrac x{(1-x)^2}=\displaystyle\sum_{k\ge0}kx^k

Take the derivative again:

\displaystyle\frac{(1-x)^2+2x(1-x)}{(1-x)^4}=\sum_{k\ge0}k^2x^{k-1}=\frac1x\sum_{k\ge0}k^2x^k

\implies\displaystyle\frac{x+x^2}{(1-x)^3}=\sum_{k\ge0}k^2x^k

Take the derivative one more time:

\displaystyle\frac{(1+2x)(1-x)^3+3(x+x^2)(1-x)^2}{(1-x)^6}=\sum_{k\ge0}k^3x^{k-1}=\frac1x\sum_{k\ge0}k^3x^k

\implies\displaystyle\frac{x+4x^3+x^3}{(1-x)^4}=\sum_{k\ge0}k^3x^k

so we have

\boxed{F(x)=\dfrac{x+4x^3+x^3}{(1-x)^4}}

5 0
3 years ago
Y = -3x-2 Slope intercept form
lana66690 [7]

Answer:The equation of any straight line, called a linear equation, can be written as: y = mx + b, where m is the slope of the line and b is the y-intercept. The y-intercept of this line is the value of y at the point where the line crosses the y axis.

Step-by-step explanation:

4 0
2 years ago
Plzzzzzzzzzzzzzzzzzzzzzz neeed help dew nowwwwwwwwwwwwwwwwwwwwwwwwwww
vampirchik [111]

Answer:

64 teachers

Step-by-step explanation:

We can use ratios to solve

14 students   896 students

----------------- = -------------

1 teacher          x teachers

Using cross products

14 * x = 896*1

Divide each side by 14

14x/14 = 896/14

x =64

4 0
3 years ago
How would I translate this algebraic expression?
FromTheMoon [43]

Answer: \frac{5}{7} (2+\frac{6}{r} )

Step-by-step explanation:

Since, the quotient of 6 and r = \frac{6}{r}

The sum of two and the quotient of 6 and r

= (2+\frac{6}{r} )

And,  Five-sevenths of the sum of two and the quotient of 6 and r

= \frac{5}{7} (2+\frac{6}{r} )

Thus, the required expression is, \frac{5}{7} (2+\frac{6}{r} )


3 0
2 years ago
Graph ordered triples A(-4,7,3)
atroni [7]

Answer:

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Step-by-step explanation:

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