Answer:
When we have a function f(x), the domain of the function is the set of all the inputs that "work" (Not only in a mathematical way, the context is also important) with the function f(x)
In this case, we have a function M(p) = $2*p
This function represents the amount of money collected depending on the number of people who ride on the ferris whell.
Then p can be only a whole number (we can not have 1.5 people, only whole numbers of people).
And we also know that the maximum capacity of the ferris is 64 people.
Then:
p ≤ 64
And we also should add the restriction:
0 ≤ p ≤ 64
(Because p can't be smaller than zero)
Such that p should also be an integer, then, the domain is:
D: p ∈ Z, p ∈ {0, 1, 2, ..., 64}
Answer:
Let X be the number.
Twice the number would be 2x
The difference between the two, would be subtraction, so you would subtract 4 from 2x
The equation becomes 2x-4 = 16
Now solve for x:
2x-4 = 16
Add 4 to each side:
2x = 20
Divide both sides by 2:
x = 20/2
x = 10
The number is 10.
I think it’s D.............
The interval of the provided inequality expression is -5/9 to the infinity [(-5/9),∞) using the table of signs to solve the inequality.
<h3>What is the inequality equation?</h3>
Inequality equation is the equation in which the two expressions are compared with greater than, less than or other inequality signs.
The inequality given in the problem is,

Simplify the equation first by adding the same terms,

Now in this case, if the value x is ranges from -5/9 to infinity.
Thus, the interval of the provided inequality expression is -5/9 to the infinity [(-5/9),∞) using the table of signs to solve the inequality.
Learn more about the inequality equation here:
brainly.com/question/17724536
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The slope is calculated through the formula:
dy/dx.
If you apply this to your question you get:
(4-2)/(4-1) = 2/3 or 0.667
Hope this helps!