Arrivals at a fast-food restaurant follow a poisson distribution with a mean arrival rate of 16 customers per hour. what is the
1 answer:
You might be interested in
Answer:
see below
Step-by-step explanation:
f(x) = −16x^2 + 24x + 16
Set equal to zero to find the x intercepts
0 = −16x^2 + 24x + 16
Factor out -8
0 = -8(2x^2 -3x-2)
Factor
0 = -8(2x +1) (x-2)
Using the zero product property
2x+1 =0 x-2 =0
x = -1/2 x=2
The x intercepts are -1/2 ,2
Since the coefficient of x^2 is negative the graph will open down and the vertex will be a maximum
The x value of the maximum is 1/2 way between the zeros
(-1/2+2) /2 = 1.5/2 =.75
To find the y value substitute into the function
f(.75) = -8(2x +1) (x-2)
=-8(2*.75+1) (.75-2)
= -8(2.5)(-1.25)
=25
The vertex is at (.75, 25)
We have the zeros, and the vertex. We know the graph is symmetrical about the vertex
Answer:
Justin worked as a babysitter 8 hours and worked as a lifeguard 2 hours last week
Step-by-step explanation:
Let
x ----> number of hours worked as a babysitter last week
y ----> number of hours worked as a lifeguard last week
we know that
----> equation A
----> equation B
Solve the system by substitution
Substitute equation B in equation A
solve for y
Find the value of x
therefore
Justin worked as a babysitter 8 hours and worked as a lifeguard 2 hours last week