Which algebraic expression represents the phrase below?
five times the difference of one-half of a number and two

Step-by-step explanation:

Given :  Five times the difference of one-half of a number and two

To Find: Which algebraic expression represents the phrase below?

Solution :

Let the number be x

Now  we are given that the difference of one-half of a number and two

Now we are given that   Five times the difference of one-half of a number and two

So,  

Hence the algebraic expression represents the given phrase is

given that triangle abc is transformed two times to get triangle

a"b"c"

first abc is transformed in to a'b'c' as follows:

the coordinates of a are (1,-1) and transformed into a'(-1,1)

similarly b (4,-2) became b'(-4,2) and

c(7,-2) became c'(-7,2)

i.e. (x,y) becomes (-x,-y)

this is nothing but reflection about a point here origin.

thus first transformation is reflection on the origin.

next is exactly shifting 3 units down

source:

answer: all of the odd numbers were opened

the first person was the one that was opening all of the lockers. since one is odd, this causes all of the odd number lockers to be opened in the end.