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vova2212 [387]
3 years ago
9

25x

Mathematics
1 answer:
solmaris [256]3 years ago
7 0

Answer:

option c is correct answer

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Which equation is the inverse of y = 9x2 - 4?
m_a_m_a [10]

Answer:

The inverse will be:

y' = \frac{\sqrt{x+4}}{3}

Step-by-step explanation:

In order to find the inverse of the equation, we do a variable change, since we are finding the inverse, :

f(x)  = 9x^{2} - 4

y = 9x^{2} - 4

x = 9y' ^{2} - 4

Now solve for y'.

First add 4 in both sides of the equation and change to the left y'.

x + 4= 9y'^{2} - 4+4

9y'^{2} = x + 4

Second divide by 9

9y'^{2}/9 = (x + 4)/9

y'^{2} = (x + 4)/9

Now you will have to clear y, with the square root.

[tex]y'^{\frac{2}{2}} = \sqrt{x + 4}  / \sqrt{9}[/tex] =

Simplifying terms

y' = \frac{\sqrt{x+4}}{3}

f^{-1}(x)  = \frac{\sqrt{x+4}}{3}

You can check the answer by doing the evaluation of the following equation:

(f o f^{-1} ) (x)

substitute the equation for y' or inverse function f^{-1}

f(\frac{\sqrt{x+4} }{3})

Now substitue the value into f(x)

You will have

= 9(\frac{\sqrt{x+4} }{3}} )^{2}  - 4\\\\Solving\\\\9(\frac{{x+4} }{9}} )  - 4

=x

5 0
3 years ago
You have decided to hire your little brother to clean your room for the next month. as payment, you will give him 1 penny the fi
Dafna11 [192]
1, 2, 4, 8, 16 ...

a = 1

d = 8/4 = 2

Sn = n/2(2a + (n-1)d) = 30(2 + (29×2)) = 30(60) = 1800

Ans = $1,800 ...//
6 0
3 years ago
24/? = 8/9 What is the unknown ratio?
Murljashka [212]
24 divided by 8 is 3.

3 times 9 is 27 so your ratio would be

24/27 = 8/9

or 24: 27= 8:9

so your answer is 27

-Calypso, 8th, Algebra 1 Honers
7 0
3 years ago
A migrating bird flies 420 miles in 14 hours how many miles does it fly in 5 hours
8_murik_8 [283]

150 because if it is going 420 in 14 hours you divide 420 by 14 which gives you 30 and then you multiply 30 x 5 and you get 150 so the bird goes 150 miles in 5 hours

3 0
3 years ago
Read 2 more answers
Help as soon as possible
Maurinko [17]

Answer:

Step-by-step explanation:

I am sorry but please give detailed question

6 0
3 years ago
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