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sertanlavr [38]
3 years ago
11

He expression x2y - 2xy - 24y can be factored by first factoring out a common factor of y.

Mathematics
2 answers:
artcher [175]3 years ago
8 0

Answer:

y(x+4)(x-6)

Step-by-step explanation:

We have given an expression.

x²y-2xy-24y

We have to factor above expression.

Taking y as common from given expression, we have

y(x²-2x-24)

Applying factorization , we have

Splitting the middle term of above expression, we have

y(x²-6x+4x-24)

Making groups, we have

y(x(x-6)+4(x-6))

Taking x-6 as common, we have

y(x+4)(x-6) which is the answer.

VladimirAG [237]3 years ago
6 0

Answer:

The expression x2y - 2xy - 24y can be factored by first factoring out a common factor of y.

<h2>y(x-6)(x+4)<===Your Answer!!!!!!!!!!!!!!!!!!!!!!!</h2>
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The grade appeal process at a university requires that a jury be structured by selecting eight individuals randomly from a pool
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Answer: The probability of selecting a jury of all​ faculty=0.000071

The probability of selecting a jury of six students and two two ​faculty=0.3667


Step-by-step explanation:

Given: The number of students = 9

The number of faculty members=11

The total number of ways of selecting jury of eight individuals=^{20}C_8=\frac{20!}{(20-8)!\times8!}=125970

The number of ways of selecting jury of all faculty=^9C_8=\frac{9!}{8!(9-8)!}=9

The probability of selecting a jury of all​ faculty=\frac{9}{125970}=0.000071

The number of ways of selecting jury of six students and two two ​faculty

=^9C_6\times ^{11}C_2=\frac{9!}{6!(9-6)!}\times\frac{11!}{2!\times(11-2)!}\\=84\times55=4620

Now, the probability of selecting a jury of six students and two two ​faculty

=\frac{4620}{125970}=0.03667


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