Answer:
All you need to do is substitute.

-3 + 36/9
-3 + 4
= 1
The rate of change of a given function is given by f'(x)=dy/dx
given that the function is:
f(x)=12+2^(-2x)
f'(x)=2*(-2)e^(-2x)
f'(x)=-4e^(-2x)
the relative rate of change will be the ratio of the derivative to the original function:
f'(x)/f(x)
=(12+2^(-2x))/(-4e^(-2x))
Answer:
4/5
Step-by-step explanation:
the numerator of fraction is 1 less than its denominator. If the numerator is increased by 4 and the denominator is increased by 5, the new fraction becomes equivalent to 4/5. what is the original fraction?
Let n = numerator
d = denominator
n = d - 1

=
= 
cross multiply
5(d + 3) = 4(d + 5)
5d + 15 = 4d + 20
d = 5
n = d - 1
5 - 1 = 4
original fraction 4/5
Answer:
k = 48
For x = 6, y = 8.
Step-by-step explanation:
The general equation for inverse variation is
y = k/x
We are told that y = 24 when x = 2, so we plug in those two values in the general equation to find the value of k.
24 = k/2
k = 24 * 2 = 48
Now that we know k = 48, the equation for our case is
y = 48/x
Now we plug in x = 6 and find y.
y = 48/x
y = 48/6
y = 8