so if you read 450 out of 720 that could be represented as a fraction as 450/720 but normally you would simplify it by finding the greatest common factor or the GCF and for this problem the GCF would be 90 so we would divide both sides by 90, so 450/90 is 5 and 720/90 is 8 so that leaves us with 5 as our numerator and 8 as the denominator or 5/8 also shown as 0.625(decimal version). That is all. I hope that this wasn't too confusing and if there are any wrong parts please do correct me . Thank you
Inverting a function is equivalent to solve the equation x = f(y) for the variable y.
Take the function:
y = ∛(x – 2) + 6
Switch x and y, and then solve the equation for y:
x = ∛(y – 2) + 6
x – 6 = ∛(y – 2)
∛(y – 2) = x – 6
Cube both sides:
[ ∛(y – 2) ]³ = (x – 6)³
y – 2 = (x – 6)³
y = (x – 6)³ + 2 <——— and there it is, the inverse function.
I hope this helps. =)
An exponential model can be described by the function
where: a is the initial population or the starting number, b is the base and x is the number of periods elapsed.
When the base of an exponential model is greater than 1 it is called a growth factor, but when it is less than 1 it is called a decay factor.
Given the exponential model
n is the final output of the exponential model, 20.5 is the starting number, 0.6394 is the base and t is the number of periods/time elapsed.
Here, the base is 0.6394 which is less than 1, hence a decay factor.
Therefore, <span>the
base, b, of the exponential model is 0.6394; It is a
decay factor.</span>
Answer:
x = 21.46
Step-by-step explanation: