Answer:
y < -3/2x -2
Step-by-step explanation:
Used Desmos graphing calculator
Answer:
y = -2·x^2 - 5·x - 18
y = -2·(x^2 + 10·x + 36)
y = -2·(x^2 + 10·x + 36)
y = -2·(x - (-5 - √11·i))·(x - (-5 + √11·i))
Maybe there is a typo in the original question, because there is no factorisation in the real numbers.
Because the question is " find the minimum value of y" the coefficient before x^2 must be a positive number. so it could be
y = 2·x^2 - 5·x - 18
Can you check this out?
It should be either the last one or the first one but it will probably be the last one.
Let x = miles traveled by car
Let y = miles traveled by truck.
Because the total distance is 305 miles,
x + y = 305 (1)
Let t = hours of travel by truck. Because the truck speed is 55 mph,
55*t = y
or
t = y/55 (2)
The car has an hour head start, therefore it travels for (t + 1) hours.
Because the car travels at 65 mph,
65*(t + 1) = x
Substitute (2) to obtain
65*(y/55 + 1) = x
or
1.1818y + 65 = x (3)
From (1), obtain
1.1818y + 65 = 305 - y
2.1818y = 240
y = 110
x = 305 - y = 195
From (2),
t = 110/55 = 2 hours
The two vehicles pass each other at 2:00 pm + 2 hours = 4:00 pm
Answer: 4:00 pm
