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Evgesh-ka [11]
3 years ago
10

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

Mathematics
1 answer:
Sunny_sXe [5.5K]3 years ago
3 0
Keep in mind that, to get the inverse expression of any relation, we start off by doing a quick switcharoo on the variables, and then solve for "y", so let's do so,

\bf y=9x^2-4\qquad \stackrel{inverse}{\boxed{x}=9\boxed{y}^2-4}\implies x+4=9y^2
\\\\\\
\cfrac{x+4}{9}=y^2\implies \sqrt{\cfrac{x+4}{9}}=\stackrel{f^{-1}(x)}{y}
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in 2019, a house appraised at a value of 87,400. the property tax was $ 10,100. after some remodeling and improvements, the hous
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$14,334.4 is the new property tax be in 2020.

<u>Step-by-step explanation:</u>

In 2019, a house appraised at a value of 87,400. the property tax was $ 10,100. After some remodeling and improvements, the house appraised for $124,000 in 2020. The property tax rate is the same as it was in 2019.

Initially, price of house is $87,400 and tax is $10,100. Let's find tax rate:

Suppose that tax rate is x% , So \frac{87,400(x)}{100} = 10,100

⇒x = \frac{10,100(100)}{87,400}

⇒x = 11.56%

∴Tax rate is 11.56%. Now in year 2020 house new value is $124,000. So,

Amount of property tax will be 11.56% of house value

= \frac{124,000(11.56)}{100}  = $ 14,334.4.

∴ $14,334.4 is the new property tax be in 2020.

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