Step-by-step explanation:
f(x) = x² + 1, where x >= 0.
Let y be f(x).
=> y = x² + 1
=> x² = y - 1
=> x = √(y - 1) because x is non-negative.
Hence f^-1(x) = √(x - 1), where x >= 1.
√5 x√5 x√8= √(5x5x8) = √200 = 10 √2
It’s an irrational number
For this case we propose a system of equations:
x: Represents the amount of small popcorn tubs
y: Represents the amount of large popcorn tubs
According to the data we have to:
(Spending all the money in your wallet)
(Buying 7 popcorn tubs)
From the second equation we have:

Substituting in the first equation:

Thus, Katie can buy 3 large tubs of popcorn.
So:

In addition, you can buy 4 small tubs of popcorn.
Answer:
3 large popcorn tubs.
4 small popcorn tubs.
Answer:
x = 75
Step-by-step explanation:
Triangle BDH
The angle must add to 180 degrees
36+ 39 + DHB = 180
75 + DHB = 180
DBH = 180-75
DHB = 105
DBH + x = 180 since it is a straight line
105+ x = 180
x = 75