<span>let number of hours of Isaac,Ruby and Svetlana worked be x,y and z respectively.
so y= x+6 ( equation 1)
note: Ruby (y) worked 6 hours more than Isaac (x)
z = 4 x y ( equation 2)
note : Svetlana (z) worked 4 times as many hours as Ruby (y)
x+y+z= 126 ( equation 3)
note: Together they (x,y,z) worked 126 hours.
substitute eqn 1 to eqn 3
so x+y+z= 126 becomes
y-6 + y+z-126
2y+z= 126+6
2y+z=132 (equation 4)
the substitute eqn 2 in eqn 4
so 2y+z=132 becomes
2y+4y=132
6y=132
y=132/6= 22
so y=22
substitute y value in equation 1
so y= x+6 becomes
x+6=22 and
x= 22-6 = 16
and substitute x and y values in equation 3
so 16+22+z= 126
38+z= 126
z= 126 -38 = 88
So the number of hours Isaac worked (x) is 16 hours
number of hours Ruby worked (y) is 22 hours
number of hours Svetlana worked (z) is 88 hours</span>
10............ . . . . . . . . . .
The domain of a function is the complete set of possible values of the independent variable.
In plain English, this definition means:
The domain is the set of all possible x-values which will make the function "work", and will output real y-values.
So for Graph 1 the domain is : (-∞,∞)
domain for graph 2 is : [-1,5]
The range of a function is the complete set of all possible resulting values of the dependent variable (y, usually), after we have substituted the domain.
In plain English, the definition means:
The range is the resulting y-values we get after substituting all the possible x-values.
So range for graph 1 is (-∞,∞)
range for graph 2 is [-1,2]
Answer:
A (DE = GF)
Step-by-step explanation:
In a isosceles trapezoid, one pair of segments are parallel, and another pair are equivalent in length.
The only choice that fits this criteria is A, where DE equals GF.