Answer: Option C

Step-by-step explanation:
Whenever we have a main function f(x) and we want to transform the graph of f(x) by moving it vertically then we apply the transformation:

If
then the graph of k(x) will be the graph of f(x) displaced vertically b units down.
If
then the graph of k(x) will be the graph of f(x) displaced vertically b units upwards.
In this case we have

We know that this function has its vertex in point (0,0).
Then, to move its vertex 7 units down we apply the transformation:
.
Then the function k(x) that will have its vertex 7 units below f(x) is

Answer:
68 ft
I've attached the Trignometric ratio theory as well
<em>hope you understood </em><em>:</em><em>)</em>
Answer:38 min
Step-by-step explanation:
Given
Cutting time 
Assembly Line time 
to move a batch of rugs from cutting to assembly
Value-added refers to a process or phase in a system that turns raw materials or work in progress into much more desirable goods and services for downstream consumers.
thus value added time is
Answer:
6(-3+7x)
Step-by-step explanation:
Factor out 6 from each term
- 6*3 + 6*7x
6(-3+7x)
Answer:
x = y/5 - 2
Step-by-step explanation:
y = 5x+10
Express x in terms of y
5x = y - 10
x = y/5 - 2