Answer:
f-1(x)=x+1/3 is yr answer.
<h3>stay safe healthy and happy .</h3>
Answer:
Domain: X is an element of real number
It is a function
Step-by-step explanation:
x is an element of all real numbers
y=5x has a one to one relation. It is a function
Answer:
<h2>
S = 250/t</h2>
Step-by-step explanation:
If the rate of change of sales is inversely proportional to the time t, this is expressed mathematically as ΔS ∝ 1/Δt
ΔS = k/Δt where k is the constant of proportionality
If ΔS = S₂-S₁ and Δt = t₂-t₁
S₂-S₁ = k/ t₂-t₁
If the sales after 2 and 4 weeks are 162 units and 287 units respectively, then when S₁ = 162, t₁ = 2 and when S₂ = 287, t₂ = 4.
On substituting this values into the given functions, we will have;
287 - 162 = k/4-2
125 = k/2
cross multiplying
k = 125* 2
k = 250
Substituting k = 250 into the function ΔS = k/Δt
ΔS = 250/Δt
S = 250/t
<em>Hence the value of S as function of t when the sales after 2 and 4 weeks are 162 units and 287 units, respectively is expressed as S = 250/t</em>
Answer:
Step-by-step explanation:
We have been given an equation 
and we are asked to find the constant of proportionality in the given equation.
If two variables are proportional, there is always a constant ratio between them. This constant is called the constant of proportionality.
Since we know that a directly proportional equation in in form: 
, where k is constant of proportionality.
Upon comparing our given equation with the directly proportional equation we can see that 
, therefore, constant of proportionality in our given equation is .
