Given a quadratic equation 
, we define the discriminant as
The number of real solutions of the equation depend on the sign of 
:
- If
the equation has two solutions - If
the equation has one double solution - If
the equation has no real solutions
In this case, we have
And so this equation has no real solutions.
By using the definition of inverse functions, we will see that:
g(g(f(f(f(36))))) = f(36) = 25.
<h3>
What are inverse functions?</h3>
Two functions f(x) and g(x) are inverses if:
f( g(x) ) = x
g( f(x) ) = x
Then we can rewrite:
g(g(f(f(f(36)))))
First, we can see that:
g(f(f(f(36)))) = f(f(36))
Replacing that in our expression, we get:
g(g(f(f(f36))))) = g(f(f(36)))
And the above expression is equal to f(36), to be sure of that, let's replace:
u = f(36)
Then we can rewrite:
g(f(f(36))) = g(f(u))
And by definition, the above thing is equal to u:
g(f(u)) = u = f(36).
Finally, we conclude that:
g(g(f(f(f(36))))) = f(36) = 3*√36 + 7 = 3*6 + 7 = 25
If you want to learn more about inverse functions, you can read:
brainly.com/question/12220962
Mobile payments are payment transactions done with the help of a mobile phone. Think Venmo, Square Cash and Gogle Wallet, used to transfer money and even to shop at participating retailers – all with the tap of screen. According to a recent global study on mobile payment transactions, the mobile payments market was worth $550 billion in 2015 and is expected to grow more than 39% by 2020. That is explosive growth by any calculation.
But within all the buzz and investment that is flowing into this industry lies a cautionary tale, one that AnnaMaria Lusardi, director of the Global Financial Literacy Excellence Center (GFLEC) at George Washington University in Washington, D.C., explains like this: “We can make payments with the touch of a button, but the impact of this rapid innovation is not being examined.”
Answer:
D. 30
Step-by-step explanation:
At the center of the polygon are twelve 30° angles - 360° / 12.If the polygon is rotated 30° the image (transformation) shall coincide with the preimage (the figure before transformation).
Answer:
(I'll leave cm out to save space and time in the answer)
the perimeter is 500, there are 5 sides. so on average a side will be 100.
that's already the important key idea.
it's indeed 100 for the third side, the second will be 10 less, the fourth 10 more (making the 2and and the 4th side 200 in sum, and therefore still 100 on average).
repeat this for the 1. and 5. side and we get:
80
90
100
110
120
