Answer: positive values for h translate the parabola to the right, negative values for h translate the parabola to the left
Step-by-step explanation: Note that the value for h is subtracted from x, and then this difference is squared. See that positive values for h translate the parabola to the right, negative values for h translate the parabola to the left
Well, if you are talking how much she can swim per minute, you have to divide 1700 by 40 to get the unit per minute, 1700 being the meters she can swim, and 40 are the minutes she takes to swim. So, 1700 divided by 40 would be 42.5 meters per minute. So Angela's unit is 42.5 meters per minute. YOU'RE WELCOME :D
Answer:
The equation of the line is:

Step-by-step explanation:
We know that the slope-intercept of line equation is

Where m is the slope and b is the y-intercept
Given the two points on a line
Finding the slope between (0, 3) and (-2, -5)




We know that the y-intercept can be computed by setting x=0 and determining the corresponding y-value.
From the graph, it is clear:
at x = 0, y = 3
Thus, y-intercept = b = 3
Substituting m = 4 and b = 3 in the slope-intercept form of line equation


Therefore, the equation of the line is:

Answer:....................
Step-by-step explanation:
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}