Answer:
A
Step-by-step explanation:
The perimeter is more since the shape gained many new sides but the area is less because the rectangle lost a little square
q(x=f(x-h+k
here, h=0, k=-8, so
to translate f(x) 8 units down, we have
q(x)=f(x-0)-8
=2x^2-3x+5-8
=2x^2-3x-3
Answer:
Condition 1: y>0
Condition 2: x+y>-2
Step-by-step explanation:
We are told that we have a set of points in the Cartesian system (i.e. x-y coordinate), so we can define our point as:
We are given two conditions and we want to create a system of inequalities. Now, generally speaking, inequalities are expressions relating mathematical expressions through 'comparison' (i.e. less than, greater than, or less/greater and equal to) usually recognized by , , and , respectively.
So in our case let set up our inequalities.
Condition 1: the y-coordinate is positive
This can be mathematically translated as
(i.e. is greater than 0, therefore positive)
Condition 2: the sum of the coordinates is more than -2
This can be mathematically translated as
(i.e. the summation of the two coordinates is greater than -2 but not equal to).
The system of inequalities described by the two conditions is: