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aleksandr82 [10.1K]
3 years ago
6

Which equation is the inverse of (x minus 4) squared minus two-thirds = 6y minus 12?

Mathematics
1 answer:
Hitman42 [59]3 years ago
6 0

Hello,

(x-4)^2-\dfrac{2}{3} =6y-12\\\\Permuting\ x\ and\ y\ gives:\\\\(y-4)^2-\dfrac{2}{3} =6x-12\\\\\\(y-4)^2=6x-12-\dfrac{2}{3} \\\\(y-4)^2=6x-\dfrac{34}{3} \\\\y-4=\pm \sqrt{6x-\dfrac{34}{3}}\\y=4\pm \sqrt{6x-\dfrac{34}{3}}\\

But this expression is not a function you must write it in 2 forms uisng an union.

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Answer:

Plug x-7 in for y, in the bottom equation.

x - 7 = 2 + 2x - 4

x - 7 = 2x - 2

x = 2x + 5

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3 years ago
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Sarah hiked a path that took her from 34 feet below sea level to 52 feet above sea level . What was the change in her elevation?
Ugo [173]

Answer:

86 ft

Step-by-step explanation:

<em>First method: Logical thinking</em>

Think of the position 34 ft below sea level as -34.

The position above sea level is 52.

You need to find the distance between -34 and 52.

You go from 34 ft below sea level, -34 to 0. That is 34 ft.

Then you go from sea level, 0 ft, to 52 ft above sea level. That is 52 ft.

The total is 34 ft + 52 ft = 86 ft

Answer: 86 ft

<em>Second method: Calculate a distance in math</em>

The distance between two points on a number line is the absolute value of the difference of their coordinates. The coordinates are -34 and 52. Subtract the numbers in either order, and take the absolute value of the difference.

|-34 - 52| = |-86| = 86

If you did it in the other order, you'd get the same answer.

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3 years ago
What is the distributive property of 5(12x -3) -7(2x +1)
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Answer:

46x-22

Step-by-step explanation:

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60x-14x-15-7

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densk [106]

What is the nth term to this sequence 18,16,14,12 ?

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8. 6

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