Answer:
If you actually meant f(x)=2x+3x−1 ,
then note it can be rewritten as:
f(x)=2x−2+5x−1=2+5x−1=y
At this point you can find x in terms of y (“make x the subject”):
y−2=5x−1⟹1y−2=x−15
⟹x=5y−2+1=y+3y−2
Switch variables back to x, and you have the inverse function of f:
g(x)=x+3x−2
How do you know you’ve calculated correctly? The composition of f with g should result in x — that is, evaluate f(g) and you should get the result x:
Answer:
If she uses the Laplace criterion, the number of new examiners she will decide to hire is:
c. three
Step-by-step explanation:
a) Data:
Number of Compliance
examiners Low Normal High
One 50 50 50
Two 100 60 20
Three 150 70 -10
b) Outcome Calculations:
Number of Compliance
examiners Low Normal High
One 16.65 (50 *.333) 16.65 (50 *.333) 16.65 (50 *.333) = 50
Two 33.3 (100 *.333) 19.98 (60 *.333) 6.66 (20 *.333) = 60
Three 49.95 (150 *.333) 23.31 (70 *.333) -3.33 (-10 *.333) = 70
c) Decision:
Three has the highest payoff condition and is selected.
d) The Laplace criterion assumes that each compliance state is equally likely to happen. Therefore, it assigns the same weight to each state of compliance. Since there are three states of compliance, we shall assign each state a weight of 0.333. The number of examiners that have the highest payoff condition is three, and therefore, the number "three" is selected.
Answer:
Step-by-step explanation:
Answer:
B, D, and E.
Step-by-step explanation:
A) The system has infinitely many solutions. This is wrong because according to the graph, there is only one solution- where the lines intersect. This would only be true if the lines never intersected.
B) A solution to the system is (-1, -2). This is true because this is the only point where the lines intersect.
C) A solution to the system is (0, -1). Since these aren't parabolas and the one above is true, we can say this is false. Also, the lines don't intersect at (0, -1).
D) One of the equations is y=x-1. This is true because the y-intercept for the red line is -1 and the slope of the equation is 1. You can also find this out by directly solving for the equation.
E) One of the equations is 3x+y=-5. If you put this into slope-intercept form, you will find out that the equation is y=-3x-5. This is true because the y-intercept of this is -5 and the slope of this is -3.
