Step-by-step explanation:
An exponential function of a^x (a>0) is always ln(a)*a^x, as a^x can be rewritten in e^(ln(a)*x). ... The derivative shows, that the rate of change is similiar to the function itself. For 0<a<1, ln(a) becomes negative and so is the rate of change.
Answer:
The advertisement should use 16 minutes.
Step-by-step explanation:
Exponential distribution:
The exponential probability distribution, with mean m, is described by the following equation:
In which is the decay parameter.
The probability that x is lower or equal to a is given by:
Which has the following solution:
The probability of finding a value higher than x is:
The manager of a fast-food restaurant determines that the average time that her customers wait for service is 3.5 minutes.
This means that
What number of minutes should the advertisement use?
The values of x for which:
So
Rounding to the nearest number, the advertisement should use 16 minutes.
please see photo attached
Answer:
x=-3 x=-1 x=2 x=-2
Step-by-step explanation:
p(x) = (x^2 + 4x + 3)(x^2 – 4)
Set this equal to zero to find the x intercepts
0 = (x^2 + 4x + 3)(x^2 – 4)
Using the zero product property
(x^2 + 4x + 3) =0 (x^2 – 4) =0
Factor
(x+3)(x+1) =0 (x-2) (x+2)=0
Using the zero product property
x+3 =0 x+1 =0 x-2 =0 x+2 =0
x=-3 x=-1 x=2 x=-2
Answer:
10
Step-by-step explanation: