Answer:
Step-by-step explanation:
Answer:
15 miles
Step-by-step explanation:
Speed of John biking = 10 miles per hour
Time taken by John to travel the route = 1.5 hours
We know that
distance = speed * time
now that we know time and speed for John
we can distance by using the above formula
distance = 10 miles per hour* 1.5 hour = 15 Miles
Thus, the route was 15 miles long.
Answer:
(x+7/2)^2-1/4
Step-by-step explanation:
x^2 +7x +12 = 0
Write x^2+7x+12 in the form x^2+2ax+a^2: 2a=7; a=7/2
Add and subtract 7/2^2: x^2+7x+12+(7/2)^2-(7/2)^2
Complete the square: (x+7/2)^2+12-(7/2)^2
Simplify: (x+7/2)^2-1/4
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.