3 years ago

Given the formula an = 47 + (n - 1)(-3), find the 21st term in the sequence.

Mathematics

1 answer:

natali 33 [55]3 years ago

7 0

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Simplify (4xy^-2)/(12x^(-1/3)y^-5) and Show work ...?

oee [108]

The answer is $\frac{x^{4/3}y^{3}}{3}$ .

The fraction is: $\frac{4xy^{-2} }{12 x^{-1/3} y^{-5} }$
Let's rewrite it: $\frac{4xy^{-2} }{12 x^{-1/3} y^{-5} }=\frac{4 }{12 }*\frac{x }{ x^{-1/3} }*\frac{y^{-2} }{ y^{-5} }$

Since $\frac{x^{a} }{x^{b}} =x^{a-b}$ ,
then:
*** $\frac{x}{ x^{-1/3} }= x^{1-(-1/3)} = x^{3/3+1/3} = x^{4/3}$
*** $\frac{y^{-2} }{ y^{-5} }= y^{-2-(-5)} = y^{-2+5} = y^{3}$
______
$\frac{4 }{12 }*\frac{x }{ x^{-1/3} }*\frac{y^{-2} }{ y^{-5} }= \frac{1*4}{3*4}* x^{4/3}*y^{3}= \frac{1}{3} * x^{4/3}*y^{3}= \frac{x^{4/3}y^{3}}{3}$

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3 years ago

Which statement best describes the graph of x3 − 3x2 − x + 3?

e-lub [12.9K]

The second choice. Intersects means cuts the y axis. And if you go to -infinity (figuratively speaking! lol) x^3 dominates and goes to -infinity, way down, the other way for infinity

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Volume = 3^3 = 3 x 3 x 3 = 27 cubic inches.

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