Answer: the bus would be used 30 times for the monthly costs to be the same.
Step-by-step explanation:
Let x represent the number of times in a month for which the bus must be used so the total monthly cost is the same with the book as it is without it.
The bus fare without a coupon book is $1.50. This means that the total monthly cost of using the bus for x times without a coupon book is 1.5x
A coupon book cost $30.00 and with the coupon book, the fare is reduced $0.50. This means that the total monthly cost of using the bus for x times with a coupon book is
0.5x + 30
For the monthly costs to be the same,
1.5x = 0.5x + 30
1.5x - 0.5x = 30
x = 30
Answer:
Step-by-step explanation:
Let's retype that as y = b^x. The inverse of this function is log y = x
b
which you could also write as y = ln x
b
If you had y = e^x, the inverse function would be y = ln x.
Note that if you let ln x be the input to y = e^x, the result would be just 'x,' which confirms that these two functions are inverses of one another.
Answer:
Expected value E = $0.45
Step-by-step explanation:
Expected value E = P×w - P'×l
Where;
P = probability of making the next 2 throw.
P = 223/406 × 223/406 = 0.3017
P' = probability of not making a throw.
P' = 1 - P = 1 - 0.3017
P' = 0.6983
w = expected win = $20
l = Expected loss = $8
Substituting the values;
E = 0.3017 × $20 - 0.6983 × $8
E = $0.4476
Expected value E = $0.45
Answer:
Step-by-step explanation:
Given function is,
f(x) = 
Vertical asymptote of the function,
x = 2
Horizontal asymptote of the function,
y = 3
No oblique asymptotes.
Therefore, graph having vertical and horizontal asymptotes as x = 2 and y = 3 will be the correct graph as attached.
Answer: 3/2
Step-by-step explanation:
Rise over run!!!
Subtract y values, divide that by the subtracted x values.
7-4/4-2= 3/2
