Questions:
A clothing manufacturer uses the model a = √(f + 4) - √(36 - f) to estimate the amount of fabric to order from a mill. In the formula, a is the number of apparel items (in hundreds) and f is the number of units of fabric needed. If 400 apparel items will be manufactured , how many units of fabric should be ordered?
Answer:
32 units of fabrics
Step-by-step explanation:
Given

Required
Find f when a = 4
Substitute 4 for a

Rewrite as:

Square both sides



Collect Like Terms


Divide through by 2

Square both sides




Collect like terms


Factorize

or 
f can not be 0 because some units must be ordered.
So, f = 32
Y=2 by the method of substitution (x is 7).
Yes
No
Yes
No
The slope is 8.5
Take any 2 points and apply the slope equation. You will get the same slope.
The constant proportionality is the same as the slope.
Hope it helps :)
Step-by-step explanation:
Step 1: Multiply to get the lowest common denominator
Step 2: reciprocate thw second fraction(flipping the values)
Step 3: Cancel out values.