Apump started filling an empty pool with water and continued at a constant rate until the pool was full. at noon the pool was 1/3 full, and 114114 hours later it was 3/4 full. what was the total number of hours that it took the pump to fill the pool?
a. 213213
b. 223223
c. 3
d. 312312
e. 323

3 hours

Step-by-step explanation:

The pool was filled at noon =

After hours the fool was filled =

So,water filled in pool in hours =

So,water filled in pool in hours =

of pool is filled in hours =  

Whole pool is filled in hours =  

Whole pool is filled in hours =  

Hence it took 3 hours the pump to fill the pool .

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:

f(x) = x^3 -2x^2 -3x

x( x^2 -2x-3)

x( x^2 +x -3x -3)

x( x(x+1) -3(x+1))

x( x-3)( x+1)

so zeroes are 0, 3,-1

its (2) option