Answer:
y = 
Step-by-step explanation:
If the equation of a function is in the form of y = h(x)
When the graph of this function is reflected across x-axis,
Transformed function will be,
y = -h(x)
Further reflected across y-axis, then the transformed function will be,
y = -h(-x)
By this rule,
Given equation when reflected across x-axis,
y = 
Further reflected across y-axis,
y = 
y = 
y = 
Answer:
in 220 miles both plans will cost the same
Step-by-step explanation:
38 + .12m = 49 + .07m
38 + .05m = 49
.05m = 11
m = 11/.05
Answer:
4096
Step-by-step explanation:
4x4x4x4x4x4=4^6
Group them to multiply to make it easier:
4x4=16
4x4=16
4x4=16
16x16x16=4096
honestly just plug it into a calculator
Answer:
The steady state proportion for the U (uninvolved) fraction is 0.4.
Step-by-step explanation:
This can be modeled as a Markov chain, with two states:
U: uninvolved
M: matched
The transitions probability matrix is:

The steady state is that satisfies this product of matrixs:
![[\pi] \cdot [P]=[\pi]](https://tex.z-dn.net/?f=%5B%5Cpi%5D%20%5Ccdot%20%5BP%5D%3D%5B%5Cpi%5D)
being π the matrix of steady-state proportions and P the transition matrix.
If we multiply, we have:

Now we have to solve this equations

We choose one of the equations and solve:

Then, the steady state proportion for the U (uninvolved) fraction is 0.4.
There are a total of 31 fish in the tank. Therefore, the probability of it being a goldfish is 24/31 or about 77.4%, since there are 24 goldfish. The probability of it being an angel fish is 2/31 or about 6.45%, for the same reason as before.