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Zinaida [17]
4 years ago
12

When asked to factor the trinomial 4x^2+12x+9 a student gives the answer (2x-3)(2x-3) what is one thing wrong with this answer

Mathematics
2 answers:
Stella [2.4K]4 years ago
5 0

Answer:

The minus sign must be plus sign.                  Option D

Step-by-step explanation:

Given quadratic is 4x²+12x+9

Find the factor of given quadratic. We use complete square method to find the factor.

Take common 4

4(x²+3x) + 9

=4(x² + 3x +\frac{9}{4}) + 9 - 9

=4(x +\frac{3}{2})²

=4\frac{(2x+3)^{2} }{4 }

=(2x+3)²

=(2x+3)(2x+3)

In student's answer the minus sign must be plus sign.

That's the final answer.

Naddika [18.5K]4 years ago
3 0

TA. the minus signs should be plus signs  It should be (2x+3)(2x+3) or (2x+3)^2

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3 years ago
Explain why P(A|D) and P(D|A) from the table below are not equal.
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Answer:

The Probability that Event A and  Event D occur is equal to the probability Event A occurs times the probability that Event D occurs, given that A has occurred.


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P(D/A)=\frac{P(A\cap D)}{P(A)} ;

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From the given table, we have the values of P(A), P(D), P(D\cap A) and P(A\cap D).

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∴P(A)=\frac{8}{17}, P(D)=\frac{10}{17}, P(A\cap D)=\frac{2}{17} and P(D\cap A)=\frac{2}{17}

Now, putting these values in above formula we get,

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As, you can see above that the values of P(A|D) and P(D|A) are not equal.









5 0
3 years ago
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