Answer:
1. The total distance will be equal to 20 miles plus the remaining distance which would be obtained when you multiply the speed to time t. The equation would be written as follows:
120 = 20 + 50t
2. The minimum time would be 0 hours. The maximum time is when the total distance of 120 is fully covered.
t ≤ (120 - 20)/50
t ≤ 2 hours
Thus, the domain would be 0 < t ≤ 2.
Step-by-step explanation:
Answer:
a. The given equation is d = -75·t + 275 is a function
b. f(t) = -75·t + 275
c. 275 km
d. The situation does not makes sense for t > 11/2 hours.
Step-by-step explanation:
a. Given that a relation is a functional relation if for each input of a member in the relation, there is only one output for the other member, therefore;
The given equation is d = -75·t + 275 is a function
As when t = 1, d = 200 km
b. The equation written in functional notation, f(t) is f(t) = -75·t + 275
c. At the start of the journey, t = 0
Therefore;
f(0) = -75×0 + 275 = 275 km
d. The values of t that do no make sense in the function are given as follows
0 = -75×t + 275
t = 275/75 = 11/3 = 3.67 hours
For times above 3.67, the distance becomes negative
Therefore, the situation does not makes sense for t > 11/2 hours.
Answer:$57.75
Step-by-step explanation:
Find the total amount of hours he worked
So, he worked 5.5h and he earns $10.50 an hour.
($10.50)(5.5h)=$57.75
Answer:
the answer is 7
Step-by-step explanation:
Answer:
26²×9×8×7
Step-by-step explanation:
To select one ticket from the lottery, the costumer has to make five individual choices, the two letters and the three non-zero digits. To choose the first letter, the person can take any of the 26 letters of the english alphabet. In the same way, the person has 26 choices for the second letter (repetition doesn't matter in this problem).
For the first digit, the costumer has 9 choices. The second digit must be different from the first one, so it has 8 possibilities, and the third digit has 7 choices (it must be different from the previous two).
Using the product rule, the number of ways of choosing the five symbols is 26×26×9×8×7=26²×9×8×7.
