Sam is cleaning out his closet. His mom said his goal is to get to less than 5,000 combinations of clothes when he is finished cleaning it out. He currently has 12 T-Shirts, 10 Sweatshirts, 8 Jeans, 6 Shorts, and 7 Sweatpants How many combinations will he need to eliminate to get under the 5.000 combination goal? He could keep the following items and remain under the 5,000 goal:

step-by-step explanation:

1. the cylinder is a. 54

2.   a.108 /

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b

guess at question:

a vertical line intersects the graph of g(x,y) = 0 at two points. what conclusion follows about the function f(x) implicitly defined by g(x,f(x)) = 0?

the domain of f(x) cannot include the x coordinate of any such vertical line.

informally, f(x) is not a function, and

g(x,y)=0 cannot be solved for y uniquely.

the relation r = {(x,y) such that g(x,y) = 0} is a function if

for all (a,b) ∊ r and (c,d) ∊ r, a=c implies b=d.

step-by-step explanation: