Answer:
Expected revenue = $400
Step-by-step explanation:
Expected revenue is given by the formula;
Expected revenue = Sum of x * p(x)
x = 200
x = 600
p(x) = 1/2
p(x) = 1/2
Substituting, we have;
Expected revenue = 200*1/2 + 600*1/2
= 100 + 300
= $400
Therefore, expected revenue = $400
Answer:
24
Step-by-step explanation:
x (5-y)
Let x=6,and y=1
6(5-1)
PEMDAS says parentheses first
6(4)
24
Answer:
A system of equations can intersect at no points; this is when the lines are parallel, which means they have the same slope and different y-intercept. A system of equations can intersect at one point; this is when the lines have different slopes.
Step-by-step explanation:
Answer:
a) d = 3.6t
b) 10.8 miles
c) 1.2 hours
Step-by-step explanation:
For part a:
Slope of a line: y = mx + b
In this case, the equation would be: d = mt,
where m represents the speed Caden is walking at.
Note: b = 0 in this case because when Caden starts walking on the treadmill, he hasn't really covered any distance yet.
Therefore, plugging in a speed of 3.6 miles per hour, the equation is:
d = 3.6t
For part b:
This is a simple instance of plugging in 3 hours for our t value.
Therefore, d = 3.6 (3)
d = 10.8 miles
For part c:
In this case, we are given that d = 4.32 miles.
Therefore, 4.32 = 3.6t
Dividing both sides by 3.6, we get
t = 1.2 hours
Answer:
Step-by-step explanation:
We are given the function:
Let's find the inverse of g.
Call y=g(x):
We need to solve for x. Multiply both sides by x-2 to eliminate denominators:
Operate:
Collect the x's to the left side and the rest to the right side of the equation:
Factor the left side and operate on the right side:
Solve for x:
Interchange variables:
Call y as the inverse function:
