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Ierofanga [76]
3 years ago
12

Mr.Ravenheads car averages 23.75 miles per gallon of gasoline. Express this amount as a mixed number in simplest form.

Mathematics
1 answer:
cupoosta [38]3 years ago
8 0

23 is a whole number 75 is the numerator and use 100 as the denominator since 75 is in the 100nths place.  
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Which equation is y = 9x2 + 9x – 1 rewritten in vertex form?
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Answer:

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Step-by-step explanation:

An equation in the vertex form is written as

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For an equation in the form ax ^ 2 + bx + c the x coordinate of the vertex is defined as

x = -\frac{b}{2a}

In this case we have the equation y = 9x^2 + 9x - 1.

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Then the x coordinate of the vertex is:

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Therefore The encuacion excrita in the form of vertice is:

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To find the coefficient a we substitute a point that belongs to the function y = 9x^2 + 9x - 1

The point (0, -1) belongs to the function. Thus.

-1 = a(0 + \frac{1}{2}) ^ 2 -\frac{13}{4}

-1 = a(\frac{1}{4}) -\frac{13}{4}\\\\a = \frac{-1 +\frac{13}{4}}{\frac{1}{4}}\\\\a = 9

<em>Then the written function in the form of vertice is</em>

y = 9(x +\frac{1}{2}) ^ 2 -\frac{13}{4}

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