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The inverse function is f(x) =
You can find the inverse of any function by switching the f(x) value and the x value. Then solve for the new f(x) value. The result will be your inverse function. Below is the step-by-step process for solving this one.
f(x) = 2x + 1 ---> Switch the f(x) and x values
x = 2f(x) + 1 ---> Subtract 1 from both sides
x - 1 = 2f(x) ----> Divide each side by 2.
= f(x) ---> Switch the order so that it looks like a function.
f(x) =
And that would be your inverse function.
Answer:
Natural numbers
Step-by-step explanation:
Rational numbers are numbers which can be expressed in the form a/b ; such that b ≠ 0 ; hence, rational numbers can be certain non-recurring decimal values.
Integer values are numbers which can be written without any fractional component. While natural numbers are characterized as being whole and non-negative
To represent population values, number of people or species cannot be fractional and cannot be negative, hence natural numbers is the best option.
Answer:
The value is
Step-by-step explanation:
From the question we are told that
The population mean is
The population standard deviation is
The sample size is n = 35
Generally the standard deviation of the sampling distribution is mathematically represented as
=>
=>
We will use vertex form of the parabola:
Where (h,k) is the vertex of our parabola. We know that focus and directrix are located at the same distance from the vertex. That distance is a.
We can use this to build a system of equations to calculate a and k. We already know that h=-5, keep in mind that focus and vertex share the same x coordinate.
We just add these two equations together:
We plug this back into the first equation:
That's all the information we need to write down the equation:
None of the answers you provided are correct.