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Sveta_85 [38]
3 years ago
7

Factor completely: −3x2 + 6x − 9

Mathematics
2 answers:
denis23 [38]3 years ago
8 0
Factor out the -3
(-3)(x^2-2x+3)

White raven [17]3 years ago
6 0

Answer:

-3(x^2-2x+3)

Step-by-step explanation:

The given expression is

-3x^2+6x-9

The GCF of the expression is -3.

-3(x^2-2x+3)

Now, let us see if we can further factor the expression  (x^2-2x+3) or not

the middle term is -2x

And we can't write the factor of 3 which gives -2 on addition/subtraction and 3 on multiplication

Hence, it is a prime expression.

Therefore, the factored form is

-3(x^2-2x+3)

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Two boys and three girls are auditioning to play the piano for a school production. Two students will be chosen, one as the pian
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Answer:

30% is the correct answer.

Step-by-step explanation:

Total number of boys = 2

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Total number of students = 5

To find:

Probability that the pianist will be a boy and the alternate will be a girl?

Solution:

Here we have to make 2 choices.

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Formula for probability of an event E is given as:

P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}

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Now, one boy is already chosen as pianist so Total number of cases = Total number of students left i.e. (5 - 1) = 4

P(\text{girl as alternate}) = \dfrac{3}{4}

So, the required probability is:

\text{Required probability } = \dfrac{2}{5}\times \dfrac{3}{4} = \dfrac{3}{10} = \bold{30\%}

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