4 years ago

Use Pascal’s Triangle to expand the binomial. (3v+s)^5

Mathematics

1 answer:

PilotLPTM [1.2K]4 years ago

3 0

Answer:

243v^5 + 405v^4s + 270v^3s^2 + 90v^2s^3 + 15vs^4 + s^5

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On the graph of the equation X-4Y= -16 what is the value of the Y-intercept?

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we can always find the x-intercept by simply settting y = 0, and solving for "x".

and we can always find the y-intercept by simply setting x = 0 and solving for "y".

$\bf x-4y=-16\implies \stackrel{x=0}{0-4y=-16}\implies y=\cfrac{-16}{-4}\implies y=4
\\\\[-0.35em]
\rule{34em}{0.25pt}\\\\
~\hfill (0,4)~\hfill$

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4 years ago

Rationalize the denominator.

AlekseyPX

Hello and Good Morning/Afternoon!

Let's take this problem step-by-step:

What the problem asks for:

⇒ to rationalize the denominator

⇒ rationalize means that you multiply the numerator and

demonimator by the denominator

Let's put that into action:

$\frac{\sqrt{a +1}-2 }{\sqrt{a+1}+2 } * \frac{\sqrt{a +1}+2 }{\sqrt{a+1}+2 }\\=\frac{a +1-4 }{a+1+4\sqrt{a+1}+4 } \\=\frac{a-3}{a+4\sqrt{a+1}+5 }$ <== Answer

Hopefully that helps!

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Nadia is a stockbroker. She earns 13% commission each week. Last week, she sold $4,500 worth of stocks. How much did she make

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