Consider the functions f(x) = x2 - 4x and g(x) = (x - 2)2 + 3.
Which of the following statements are true? Select all that apply.

A)The graphs of f(x) and g(x) share the same axis of symmetry.

B)The graphs of f (x) and g(x) share the same y-intercept.

C)The graphs of f(x) and g(x) share the same
x-intercepts.

D)The graph of f(x) and g(x) open in the same direction.
The graph of f(x) is wider than the graph of g(x).

E)The vertical distance between the vertex of f(x) and the vertex of g(x) is 4 units.

Muscles, a membership-only gym is hoping to open a new branch in a small city in pennsylvania that currently has no fitness centers. according to their research approximately 12,600 residents live within driving distance of the gym. muscles sends out surveys to a sample of 300 randomly selected residents in this area (all of who respond) and finds that 40 residents say they would visit a gym if one was located in their area. based on the past survey research, muscles estimates that approximately 30% of these respondents would actually join the gym if they opened one in the area. based on this information and the results of the sample survey, about how many residents should muscles expect to join its new branch? a) 134 b) 504 c) 1,680 d) 3,780

What is coefficient of the term of degree of degree 5 in the polynomial below

Determine if the outside temperature is a function of the time of day or if the time of day is a function of temperature and explain why or why not.