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3 years ago

What is 21,321 rounded to the nearest 100

Mathematics

2 answers:

Vikentia [17]3 years ago

6 0

Answer:

Step-by-step explanation:

21,300

likoan [24]3 years ago

3 0

Answer:

21,300

That's rounding with the nearest hundredth

because 321 is neasrest 300 than 400

thats why the answer is

21,300

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$Vertex = (\frac{1}{2},\frac{7}{4})$

Step-by-step explanation:

Given

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Required

The vertex

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$f(x) = x^2 - x +2$

First, we express the equation as:

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$f(x) = x^2 - x +2$

--------------------------------------------

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Divide by 2: (-1/2)

Square: (-1/2)^2

Add and subtract this to the equation

--------------------------------------------

$f(x) = x^2 - x +2$

$f(x) = x^2 - x + (-\frac{1}{2})^2+2 -(-\frac{1}{2})^2$

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Expand

$f(x) = x^2 - \frac{1}{2}x- \frac{1}{2}x + \frac{1}{4}+2 -\frac{1}{4}$

Factorize

$f(x) = x(x - \frac{1}{2})- \frac{1}{2}(x - \frac{1}{2})+2 -\frac{1}{4}$

Factor out x - 1/2

$f(x) = (x - \frac{1}{2})(x - \frac{1}{2})+2 -\frac{1}{4}$

$f(x) = (x - \frac{1}{2})^2+2 -\frac{1}{4}$

$f(x) = (x - \frac{1}{2})^2+ \frac{8 -1 }{4}$

$f(x) = (x - \frac{1}{2})^2+ \frac{7}{4}$

Compare to: $f(x) = a(x - h)^2 +k$

$h = \frac{1}{2}$

$k = \frac{7}{4}$

Hence:

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