Answer:
f(-2) = 5
Step-by-step explanation:
To find f(-2), plug in -2 wherever there is an x.
f(x) = 4x² + 3x - 5
f(-2) = 4(-2)² + 3(-2) - 5
f(-2) = 4(4) + 3(-2) - 5
f(-2) = 16 - 6 - 5
f(-2) = 10 - 5
f(-2) = 5
Let y= years ago when dad's age was 4 times son's age
60-y=4(30-y)
60-y=120-4y
-y+4y=120-60
3y=60
y=60/3
y= 20 years ago
Then 30-20= 10 yrs. old, the boys age when his dad was 40 years old.
F(h) = 40h + 120....when f(h) = 200
200 = 40h + 120
200 - 120 = 40h
80 = 40h
80/40 = h
2 = h <=== 2 hrs
<span>The solution to the problem is as follows:
d^2y/dx^2 = d/dt(dy/dx) * dt/dx
= d/dt (2t^2 - 3t) * dt/dx
= ( 4t-3) * 1 / 2t = (4t-3)/2t
when t = 1 d^2y/dx^2 = 1/2
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