Part b:
a clothing donation store received numerous articles of clothing on thursday of last week. the number of articles of clothing that the store received last thursday is represented by the expression shown:

4 ( 3 x − 1 ) − 2 ( 6 + 2 x )

if x=12.5 how many articles of clothing did the store receive last thursday?

Articles of clothing that the store received last Thursday is 84

Solution:

Given that  

A clothing donation store received numerous articles of clothing on Thursday of last week.

The number of articles of clothing that the store received last Thursday is represented by the following expression:

4 (3x − 1) − 2 (6 + 2x)

Need to calculate articles of clothing that the store received last Thursday when x = 12.5

As on Thursday x = 12.5, need to substitute x = 12.5 in above equation to get number of articles received on Thursday.

On substituting x = 12.5, we get

4 ( (3 x 12.5 ) – 1 ) – 2 ( 6 + ( 2 x 12.5 ) )

=> 4 (37.5 – 1) – 2 (6 + 25)

=> 146 – 62 = 84

On substituting x = 12.5 , we are getting value of expression as 84.

Hence articles of clothing that the store received last Thursday is 84

a 360 degree rotation

step-by-step explanation:

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like: