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Gre4nikov [31]
3 years ago
6

Divide the following polynomial by 3.c. 27x²y – 15xy

Mathematics
1 answer:
dezoksy [38]3 years ago
5 0

Answer:

9x^2y-5xy

Step-by-step explanation:

Split it up like this to make it easier to work with:

\frac{27x^2y}{3}-\frac{15xy}{3}

Since the only thing in the denominator of those fractions is a 3, we can only divide the 27 by 3, not the x or y terms.  Same thing with the second fraction.  27 divided by 3 is 9 and 15 divided by 3 is 5, so

9x^2y-5xy

is the solution.  It is not completely simplified, but that isn't what you asked for, so this should suffice as the answer.

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fenix001 [56]
(2x +3)(2x-3)= 0

x= -3/2 x = 3/2
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How many times smaller will a number become if is it decreased by 20%?
stealth61 [152]

Answer:

Step-by-step explanation:

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Ari said there are three possible outcomes when you spin this spinner twice: two reds, a yellow and a red, or two yellows.
EastWind [94]

Answer:

From inspection of the diagram, we can see that the spinner is divided into <u>4 equal parts</u>, where 3 parts are red and 1 part is yellow.

\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}

Therefore,

\implies \textsf{Probability of getting a red} = \sf \dfrac{3}{4}

\implies \textsf{Probability of getting a yellow} = \sf \dfrac{1}{4}

<u>Multiplication Rule for Independent Events</u>

For independent events A and B:

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Therefore,

\begin{aligned}\implies \sf P(yellow\:and\:yellow) & = \sf P(yellow) \times P(yellow)\\\\ & = \sf \dfrac{1}{4} \times \dfrac{1}{4}\\\\ & = \sf \dfrac{1}{16}\end{aligned}

<h3><u>Conclusion</u></h3>

Ari is incorrect.  The spinner is divided into 4 parts, where only one part is yellow.  Therefore, the probability of spinning a yellow is 1/4.  As the events are independent, the Multiplication Rule should be used to calculate the probability of spinning 2 yellows.  So the probability of spinning 2 yellows is 1/4 x 1/4 = 1/16.

8 0
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4 0
2 years ago
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