Step-by-step explanation:
The horizontal stretch or compression for a function f(x) is given by g = f(bx) where b is a constant. If b> 0 then the graph of a function is compressed.
As it is given in the question that the function is transformed by a compression factor of 3.
Given function
The value of k will be 3 if the function is transformed by a compression factor of 3
21
Step-by-step explanation:
pemdas 4+3=7 then multiply 7×2=14 then add 14 to 21 ehich equals 21
In mathematics, a square is the result of multiplying a number by itself. The verb "to square" is used to denote this operation. Squaring is the same as raising to the power 2, and is denoted by a superscript 2; for instance, the square of 3 may be written as 32, which is the number 9.
Answer: Weekly rent of Mr. Thomson is = $104.92
Part A: What is Mr. Thompson's yearly rent (using 52 weeks)?
Rent for 1 week = 104.92
Rent for 52 weeks = = $5455.84
Part B: What was the average grocery expense in this time period?
Mr. Thomson purchased groceries on 2/18 for $33.45 and on 3/5 for $28.56
Hence average grocery expense is =
= $31 per week or $62.01 per month
Part C: Mr. Thompson estimates his yearly expense for groceries to be:
The monthly expense for groceries is = $62.01
So yearly expense will be = = $744.12
The answer is 35.
For g(-3), we substitute -3 for x:
g(-3) = 4f(-3) - 1
Since f(x) = x², this means that
f(-3) = (-3)² = 9; we can put this in place of f(-3):
g(-3) = 4(9) - 1
g(-3) = 36 - 1 = 35