Suppose that the quantity supplied s and quantity demanded d of baseball caps at major league game are given by the functions s(p)=1,800-80p and D(p)=100p, where p is the price

a. Equilibrium Price= 10

b. Equilibrium quantity= 1000

Step-by-step explanation:

Suppose that the quantity supplied s and quantity demanded d of baseball caps at major league game are given by the functions s(p)=1,800-80p and D(p)=100p, where p is the price

A. Find the equilibrium price for the caps at the game. B) Find the equilibrium quantity.

A. The equilibrium price is the price gotten when the demand equals to the supply. This will be:

S(p)=1,800-80p

D(p)=100p

S(p) = D(p)

1,800-80p = 100p

100p + 80p = 1800

180p = 1800

p = 1800/180

p = 10

Equilibrium Price is 10

B. To find the equilibrium quantity goes thus:

S(p)=1,800-80p

= 1800 - 80(10)

= 1800 - 800

= 1000

D(p)=100p

= 100 × 10

= 1000

The equilibrium quantity is 1000.

a, b, c, d are correct.

step-by-step explanation:

we have g(x) = 3 and are required to find which option is a translation of g(x).

now, 'translation' is a transformation which means to shift the function in any direction and the general form of translation is g(x) + k, where k is any real number.

so, according to the options we see that all are correct as they satisfy the general form of translation.

also, it can be seen from the graph below that the function g(x) = 3 is shifted from its position in all the four options.

step-by-step explanation:

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