Answer:
-4f
Step-by-step explanation:
Hi! Let's work on simplifying this.
f(4) = 4f
f(0) = 0, because anything x 0 is 0
f(-8) = -8f
Our equation is 4f + -8f
We can get rid of the plus negative...
4f - 8f
So we get:
-4f
here we have to find the quotient of '(16t^2-4)/(8t+4)'
now we can write 16t^2 - 4 as (4t)^2 - (2)^2
the above expression is equal to (4t + 2)(4t - 2)
there is another expression (8t + 4)
the expression can also be written as 2(4t + 2)
now we have to divide both the expressions
by dividing both the expressions we would get (4t + 2)(4t - 2)/2(4t + 2)
therefore the quotient is (4t - 2)/2
the expression comes out to be (2t - 1)
We can write and solve the differential equation that fits the statement given;
dy/dt = k(50-t)
∫dy = ∫ k(50-t)dt
= ∫ (50k - kt) dt
therefore;
y = 50kt - k/2(t²) + C
Alternatively, can be written as
y = - k/2 (50-t)² + C)
180*$7.50= 1350, that is correct answer I think
