How many different ways can six runners line up in a race?

Mathematics

1 answer:

xz_007 [3.2K]2 years ago

3 0

Six runners can line up 36 different ways

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Solve.

bixtya [17]

Answer:

$-3 ± 2\sqrt{3} = x$

Step-by-step explanation:

x² + 6x + 9 = 12 → x² + 6x - 3

Since this Quadratic Expression is unfactorable, apply the Quadratic Formula:

$x = -b ± \frac{\sqrt{{b}^{2} - 4ac}}{2a}$

$-6 ± \frac{\sqrt{{6}^{2} - 4(1)(-3)}}{2(1)} = -6 ± \frac{\sqrt{36 + 12}}{2} = -6 ± \frac{\sqrt{48}}{2} \\ \\ -3 ± 2\sqrt{3}$

√48 = √[3 × 16] = 4√3

½[4√3] = 2√3

Then attach half of -6 to it as well [-3]:

-3 ± 2√3

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2 years ago

Peyton was selected the most valuable player in the Super Bowl. In recognition of this, he was awarded an automobile with a valu

dlinn [17]

Answer:

$60,000 gross income will include.

Step-by-step explanation:

The recognition would not meet the correct form of achievement criteria to be considered for deduction from gross taxes. In addition, the clause requiring the winner to donate the award to an eligible national government or non - governmental organization entity is not met.

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2 years ago

Sue graphed the formula for converting temperatures from Fahrenheit to Celsius. A graph titled Temperature Conversion has Degree

elena-14-01-66 [18.8K]

Answer:

10 degrees Celsius

Step-by-step explanation:

Since the line goes through point (50, 10) and x represents Fahrenheit, y represents Celsius, then 50 F= 10 C

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2 years ago

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Factorise fully 2x^2-8x