2 years ago

Please help, YOU WILL GET 50 POINTS

Mathematics

1 answer:

netineya [11]2 years ago

5 0

Answer:

i guess its linear pair type questions

i have done like this

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Solomon can buy four sodas for $6. How much would 6 sodas cost?

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How to I find this? I tried using Pythagorean theorem, but it didn't work

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The Pythagorean theorem works.

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2 years ago

Thanks in advance for the help

lora16 [44]

The answer to this question is D

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3 years ago

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

Citrus2011 [14]

ANSWER

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

EXPLANATION

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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