Answer:
a) (-5,0) and (1,0)
b) (0,-5)
c) minimum
See attached graph.
Step-by-step explanation:
To graph the function, find the vertex of the function find (-b/2a, f(-b/2a)). Substitute b = 4 and a = 1.
-4/2(1) = -4/2 = -2
f(-2) = (-2)^2 + 4(-2) - 5 = 4 - 8 - 5 = -4 - 5 = -9
Plot the point (-2,-9). Then two points two points on either side like x = -1 and x = -3. Substitute x = -1 and x = -3
f(-1) = (-1)^2 + 4 (-1) - 5 = 1 - 4 - 5 = -8
Plot the point (-1,-8).
f(-3) = (-3)^2 + 4(-3) - 5 = 9 - 12 - 5 = -8
Plot the point (-3,-8).
See the attached graph.
The features of the graph are:
a) (-5,0) and (1,0)
b) (0,-5)
c) minimum
Answer:
C 7 times 5 plus 7 times 4 is the answer
Answer:
g(-2) = -6
g(0) = 0
g(5) = 15
Step-by-step explanation:
For each of the evaluations, you have to plug in the number everywhere where there is an x
a) 
because it is equal to the area of the shaded region between X=4 and X=6, and the probability that X falls within some interval is given by the area under the PDF.
b) 
because the shaded region is a rectangle of height 1/5 (by virtue of X following a uniform distribution over the interval [2, 7], which has length 5).
In order to see the probaability of this we need to do an easy calculation here:
If X<span> is the price for the policy, then we proceed like this:
</span>0.982x = 0.0275*<span>31,000
</span><span>
x = 0.0275*</span><span>31,000</span><span>/0.982
Minimum ammount he can expect to pay = $868.12 </span>
