Answer:
Step-by-step explanation:
The inverse function can be found by solving ...
f(y) = x
(√y)/5 +2 = x
(√y)/5 = x -2 . . . . . subtract 2
√y = 5(x -2) . . . . . . multiply by 5
y = 25(x -2)² . . . . . square both sides
The inverse function is ...
_____
<em>About the graph</em>
The inverse of a function is its mirror image across the line y = x.
Answer:
Please check explanations
Step-by-step explanation:
Here, we want to make an interpretation
From the question, we have that initially when the count was started, there were 5,428 people; this means that the initial value of the data is 5,428
For the rate of change, we have that there is an average increase of 142 people for each of 5 years;
That means per 5 years, there is an increase of 142 people and this is what represents the rate of change
We can solve this problem by referring to the standard
probability distribution tables for z.
We are required to find for the number of samples given the
proportion (P = 5% = 0.05) and confidence level of 95%. This would give a value
of z equivalent to:
z = 1.96
Since the problem states that it should be within the true
proportion then p = 0.5
Now we can find for the sample size using the formula:
n = (z^2) p q /E^2
where,
<span> p = 0.5</span>
q = 1 – p = 0.5
E = estimate of 5% = 0.05
Substituting:
n = (1.96^2) 0.5 * 0.5 / 0.05^2
n = 384.16
<span>Around 385students are required.</span>
Using the features, a piece-wise function is defined, and the graph is sketched at the end of this answer.
A piece-wise function is a function that has <u>multiple definitions</u>, depending on the value of the input.
He starts at 0 feet, and reaches a maximum elevation of 800 feet in 30 minutes, with a steady(linear) increase thus, for the first 30 minutes, the definition is:
For the next 5 minutes, he stops to rest, at the maximum elevation of 800 feet, thus, the definition is:
For the final 20 minutes, he descends 800 meters, at a linear rate, thus:
Using these definitions, the graph is sketched at the end of this answer.
A similar problem is given at brainly.com/question/13205719
Answer:
The new coordinates would be (-4, 11)
(-10, 11) (-9, 7) Hope this helps!
