Answer:

Step-by-step explanation:
Suppose h is the inverse of f then
f(x) = y ⇔ h(y) = x
f(x) = y ⇔ 4x = y ⇔ x = y/4
and since x = h(y) then h(y) = y/4
then we can write :

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Answer:
3.6 m
Step-by-step explanation:
Given that :
Length of room = 6
Distance between opposite corners = 7
Width of room :
Using Pythagoras rule:
Opposite ²= hypotenus² + adjacent²
From. The diagram attached :
w² = 7² - 6²
w² = 49 - 36
w² = 13
w = 3.605
w = 3.6 m
Answer:
The GCF of 48 and 64 is 16
Step-by-step explanation:
To figure out GCF, you make a list of all the prime factors, pick out the numbers they have in common, and multiply them together. In this case:
48: 2 x 2 x 2 x 2 x 3
64: 2 x 2 x 2 x 2 x 2 x 2
They have four 2's in common, so you multiply 2 x 2 x 2 x 2 =16
Answer:
The population of bacteria after 6 days is 2,313.06
Step-by-step explanation:
Given as :
The initial population of bacteria = i = 1,000 bacteria
The growth rate of bacteria per day = 15%
Let The population of bacteria after 6 days = f
The time period of growth = 6 days
<u>Now, According to question</u>
The population of bacteria after 6 days = initial population × 
Or, f = i × 
Or, f = 1000 × 
Or, f = 1000 × 
Or, f = 1000 × 2.31306
∴ f = 2,313.06
So,The population of bacteria after 6 days = f = 2,313.06
Hence,The population of bacteria after 6 days is 2,313.06 Answer
Answer:
88
Step-by-step explanation:
The original number ⇒ 100
100 is increased by 10%
The result is 20% reduced.
Calculate increase.
100 × (1 + 10%)
100 × (1.1)
= 110
Calculate decrease.
110 × (1 - 20%)
110 × 0.8
= 88