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
Answer:
x = 3
Step-by-step explanation:
2 + 3x = 11
3x = 11 - 2
3x = 9 (divide both sides by 3 to get x)
3x/3 = 9/3
x = 3
Answer:
7. C
8. D
Step-by-step explanation:
7. The interest rate is 8% or .08. You find that by solving I=Prt (interest=original amount*rate*time in years)
8. The discounted price would be $48 (80*(1-.40)) Then you multiply that 48 by .08 and add that amount to the $48.
Solution-
Answer is <u>same,</u> <u>same.</u>
Two functions are said to be equal or identical if-
(1) They have same domain.
(2) They have same Range and
(3) For same value of x (independent variable), we get same value of y (dependent variable).