Moving a figure around a fixed point in the plan is called making a rotation
Answer:x<-7
Step-by-step explanation:
3x -15x - 30 > 54
-12x-30>54
-12x<54+30
I moved 30 from left side to right which becomes positive and > becomes <
-12x<84
-12x/-12<84/-12 I used my calculator to do this
x<-7
Answer:
Part 1) 
Part 2) 
Part 3) 
Step-by-step explanation:
we have
The parent function is 
This is a vertical parabola open upward with vertex at origin (0,0)
Part 1) Reflection over the x-axis
The rule of the reflection across the x=axis is equal to
(x,y) ------> (x,-y)
so
f(x) -----> g(x)
The function g(x) will be

Part 2) Horizontal shift left 3 units
The rule of the translation is
(x,y) ------> (x-3,-y)
so
f(x) -----> g(x)
The function g(x) will be

Part 3) Vertical shift up 7 units
The rule of the translation is
(x,y) ------> (x,y+7)
so
f(x) -----> g(x)
The function g(x) will be

Answer:
If Angelo can Mow his lawn in 2/3 of an hour or 40 minutes, it means that after 1/2 or 30 minutes 75% of the lawn will be mowed, this is because if he can mow the lawn in 40 and we want to know how much he can mow in 30 minutes this gives us the fraction 30/40 which is also equal to 3/4 or 75%. meaning that the correct picture is the one that shows that 3/4 of the lawn is mowed