Answer:
Step-by-step explanation:
If y = 2x + 1, then dy/dt = 2(dx/dt).
If y = 2x + 1, then y = 2(40) + 1 when 40 is substituted for x. y = 81.
(a) if dx/dt = 3, find dy/dt when x = 4:
Replacing dx/dt with 3 in dy/dt = 2(dx/dt) yields dy/dt = 2(3) = 6.
(b) if dy/dt = 2, find dx/dt when x = 40:
Replacing dy/dt with 2 in dy/dt = 2(dx/dt) results in 2 = 2(dx/dt), so dx/dt must be 1.
First we need to calculate t(4) because x=4 for 4 shifts.
t(4) = 4*4 +3 = 19
Now because function "c" is declared as c(t(x)) for value x=4 we are searching c(19)! because t(4) = 19
c(19) = 2*19 + 5 = 43.
Answer is 43
Answer:
vertex = 
Intercepts for x = 
intercepts for y = (0,-6)
Answer:
The eastbound train travels at 92 mph and the westbound train travels at 96 mph.
Step-by-step explanation:
We know that Velocity = distance / time
If the eastbound train travels at x miles per hour, the westbound train travels at x + 4 mph.
After 3.5 hours, they are 658 miles apart. If we solve for distance the formula given above we have: Distance = velocity x time. We have that the total distance between both trains is 658 miles.
Substituting the values of the problem and solving for x we have

Thus, the eastbound train travels at 92 mph and the westbound train travels at 96 mph.