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3 years ago

Which equation is the inverse of y=9x^2-4

Mathematics

2 answers:

Aleks [24]3 years ago

8 0

The answer is 9x^2-4=y because when you inverse an equation you reverse it.

statuscvo [17]3 years ago

8 0

First swap the x and y variable, then isolate y.

y = 9x^2 - 4
x = 9y^2 - 4
x + 4 = 9y^2
(x+4)/9 = y^2

plus or minus
$\sqrt{((x + 4) \div 9} = y$

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the rock will be at 11 meters from the ground level after 5.92 seconds

Step-by-step explanation:

The motion of the rock is a free-fall motion, since the rock is acted upon the force of gravity only. Therefore, it is a uniformly accelerated motion, so its position at time t is given by the equation:

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where

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Substituting and re-arranging the equation, we find

$11=23+27t-4.9t^2\\4.9t^2-27t-12=0$

This is a second-order equation, which has solutions:

$t=\frac{27\pm \sqrt{(-27)^2-4(4.9)(-12)}}{2(4.9)}=\frac{27\pm \sqrt{964.2}}{9.8}$

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The first solution is negative so we neglect it: therefore, the rock will be at 11 meters from the ground level after 5.92 seconds.

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3 years ago

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romanna [79]

Answer:

$\sqrt{10}$

Step-by-step explanation:

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