What is the equilibrium quantity given demand function: d(q) = 320 - 0.3q^2; supply function s(q) = 0.5q^2

q = 20

Step-by-step explanation:

To find the equilibrium quantity, set the supply and demand functions equal to each other and solve for q:

320 - 0.3q^2 = 0.5q^2

Add 0.3q^2 to both sides, obtaining 320 = 0.8q^2.  Next, solve for q by dividing both sides by 0.8:  q^2 = 400.  Then q = +√400, or q = 20.

for this pair of functions g(x)=x-2 and f(x)=|x| is (g o f)(a)= |a| -2

step-by-step explanation:

g(x)=x-2

f(x)=|x|

(g o f)(a)=?

(g o f)(x)=g(f(x))

(g o f)(x)=g(|x|)

(g o f)(x)=|x|-2

(g o f)(a)=|a|-2

i think it will be zero as slope has a formula of difference between initial and final distance divided by itz time interval