Answer:
A quadratic function generally does not have an inverse except on a restricted domain. If the domain of the <em>original</em> function is restricted to x ≥ 0, then the inverse function is ...
Step-by-step explanation:
Start by interchanging x and "y", then solve for y.
y = 5x² +4 . . . . . . given
x = 5y² +4 . . . . . . with x and y interchanged
x -4 = 5y² . . . . . . subtract 4
(x -4)/5 = y² . . . . . divide by 5
√((x -4)/5) = y . . . take the square root . . . . x ≥ 4, y ≥ 0
Then, ...
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The graph shows the original f(x) and the "inverse", called f1(x). Note that it is only a reflection across y=x of the right half of the original function. That is, the inverse only exists for the original function when its domain is restricted to x ≥ 0. (The domain of the inverse function is x ≥ 4.)
Answer:
C
Step-by-step explanation:
C: x + y = -4
Answer:
LINEAR
Step-by-step explanation:
For a function to be linear it must be defined with the power of being equal to .
Answer:
The student who weighted the rock 5 times has a 95% confidence interval of (25.2, 29.1) which is guaranteed to be more wider (less precise) than the other student who weighted the rock 20 times.
Step-by-step explanation:
What is Confidence Interval?
The confidence interval represents an interval that we can guarantee that the target variable will be within this interval for a given confidence level.
The confidence interval is given by
Where is the mean weight is the standard deviation is the critical value from t-table and n is the sample size.
The term is known as margin of error.
As the sample size is decreased the corresponding margin of error increases which results in wider confidence interval which means smaller precision.
The student who weighted the rock 5 times has a 95% confidence interval of (25.2, 29.1) which is guaranteed to be more wider (less precise) than the other student who weighted the rock 20 times.
We can say with 95% confidence that the true mean weight of the rock is within the interval of (25.2, 29.1).