Which statement describes the limitation for the reasonable
domain compared to the mathematical domain?
The function f(x) = 0.5x + 3 is used to estimate the number
of pounds of potatoes a caterer plans to make depending
on the number of people being served, x. The
mathematical domain for the function is the set of real
numbers.
A. The reasonable domain contains only positive real
numbers.
B. The reasonable domain contains only positive whole
numbers.
C. The reasonable domain contains only real numbers
greater than 3
D. The reasonable domain contains only rational numbers
greater than 3

or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!

c

step-by-step explanation:

isocolese triangle

we know that the line connect a and b is the hyptonuse

so first find the hypotonuse length using the distance formula, call the length c

since it is an isocolese triangle, the lengths of the legs are the same

using pythagorean theorem,

in this case, a=b since isocolese triangle so we get

or

we can find c so we can find the distances

we know that if we draw 2 circles, each has center at a and b, and find where they intersect, we can the 2 possible locations for c

if a has center at (xa,ya) and b has center at (xb,yb), then we can solve where

and

intersect to find where they intersect

i'm not going to put an example because i have to go to class. i hope this explanation is enough

on plase n