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Studentka2010 [4]

3 years ago

7

write five decimals that have at least 3 didgets to the right of the decimal write write write the expanded form and word form f

or each number

1 answer:

N76 [4]3 years ago

6 0

I dont think ther is a awnser to this

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3 years ago

Write p(x) = 21 + 24x + 6x2 in vertex form.

Citrus2011 [14]

<u>ANSWER</u>

$p(x)=-3+6(x+2)^2$

<u>EXPLANATION</u>

The given function is

$p(x)=21+24x+6x^2$

We make the coefficient of $x^2$ unity by factoring $6$ out of the last two terms to obtain;

$p(x)=21+6(4x+x^2)$

We now add and subtract half the coefficient of $x$ multiplied by a factor of 6 to obtain;

$p(x)=21-6(2)^2+6(2)^2+6(4x+x^2)$

We now factor 6 out of the last two terms to get;

$p(x)=21-6\times 4+6((2)^2+4x+x^2)$

$p(x)=21-24+6((2)^2+4x+x^2)$

The quadratic trinomial in the parenthesis is now a perfect square.

$p(x)=-3+6(x+2)^2$

Hence the vertex form of the polynomial is

$p(x)=6(x+2)^2-3$

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Four more than the quotient of a number and six. write in algebraic expression

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