Distance = speed * time
d = st
The sports car travels d distance for t time at speed, s, 95 mph until it overtakes the family
car.
The equation for the sports car is
d = 95t
The family car travels the same distance, d, but since it left 4.5 hours earlier than the sports car, it travels for t + 4.5 time until it is overtaken. It travels at speed, 35 mph.
The equation for the family car is
d = 35(t + 4.5)
We solve the two equations as a system of equations.
d = 95t
d = 35(t + 4.5)
Since d = d, set the right sides of the equations above equal to each other.
95t = 35(t + 4.5)
95t = 35t + 157.5
60t = 157.5
t = 2.625
The answer is 2.625 hours, or 2 hours, 37 minutes, and 30 seconds.
Check:
In 2.625 hours, the sports car travels: 95 mph * 2.625 h = 249.375 miles
The family car traveled 2.625 hours plus the extra 4.5 hours, or 7.125 hours.
In 7.125 hours, the family car travels 35 mph * 7.125 h = 249.375 miles.
The cars have traveled the same distance 2.625 hours after the sports car left, so our answer is correct.
Answer:
6x^3+7x^2+2x
Step-by-step explanation:
Answer:
The domain is all real numbers such that -6≤x≤-2, and the range is all real numbers greater than or equal to -4.
Step-by-step explanation:
The domain refers to the set of possible <u>input</u> values, so in the domain of a graph consists of all the input values shown on the x-axis, in this case, all numbers beetwen -6 and -2. The range is the set of possible <u>output</u> values, which are shown on the y-axis; in the graph, all numbers equal and higher than -4.
Answer:
f =38
Step-by-step explanation:
f-3/4=5/6
f-3×6=5×4
f-18 =20
f =20+18
f =38
