Answer: 
Step-by-step explanation:
By definition, the Absolute Value parent function has the following form:
The vertex of the graph is at the point (0,0)
It is important to remember the following transformations for a function:
If 
, then the function is shifted "k" units up.
If 
, then the function is shifted "k" units down.
If 
, then the function is shifted "k" units left.
If 
, then the function is shifted "k" units right.
Let be g(x) the function shown in the graph provided in the exercise.
You can observe that its Vertex is at the point (0,3).
Therefore, you can conclude that the function g(x) is obtained by shifting the Absolute Value parent function 3 units up.
Then, this is:
Step-by-step explanation:
For the first multiplier, convert feet to inches.
For the second multiplier, convert inches to centimeters.
112 ft × (12 in / ft) × (2.54 cm / in) = 3413.76 cm
The area of the given shape is 240 units².
Step-by-step explanation:
Step 1;
Area of given shape = Area of the rectangle + Area of the triangle.
The rectangle measures a length of 20 units and a width of 10 units. The area of any given rectangle is the multiplication of its length and width.
The area of the rectangle 
.
So the area of the rectangle is 200 units².
Step 3:
The area of a triangle = 
The base length of the triangle = 20 units
and the height of the triangle is 4 units.
The triangle's area = 
.
The area of the triangle is 40 units².
Step 4:
Area of the given shape = 
So the area of the given shape is 240 units².
It's quadratic function, so c(x) = ax^2 + bx + c. We know, that:
c(3) = 103 => 3^2 a + 3b +c = 103 =>
9a+3b+c=103 (1)
c(7) = 163 => 7^2 a + 7b + c = 163 =>
49a+7b+c=163 (2)
c(12)=328 => 12^2 a + 12b + c = 328 =>
144a+12b+c=328 (3)
From first equation you get c = 103 - 9a - 3b
From second equation you get c = 163 - 49a - 7b
That's mean
103 - 9a - 3b = 163 - 49a - 7b
40a+4b=60 |:4
10a+b=15 => b = 15 - 10a
Substitute now c = 103 - 9a - 3b to third equation. You get
144a+12b+103-9a-3b=328
135a+9b=225 |:9
15a+b=25
b=25-15a
If b=15-10a and b=25-15a that's mean
15-10a=25-15a
5a=10 |:5
a=2
b=25-15a=25 - 15*2=25-30 = -5
c= 103 - 9a - 3b = 103 - 9*2 - 3*(-5)=103-18+15=100
You get the function:
Answer: Total cost of producing 2 widgets is $98
No clue, sorry ... about that
