Step-by-step explanation:
"identity" means an operation that does nothing.
For adding numbers, adding 0 changes nothing, so 0 is the identity for addition.
For multiplication, multiplying by 1 changes nothing, so 1 is the identity for multiplication.
Equilibrium is point where supply = demand
Solve with substitution.
From supply equation ---> q = 2p - 63
Sub into demand equation ---> (p+30)(2p-63+25) = 2584
Solve for p:
2p^2 +22p - 1140 = 2584
p^2 + 11p -1862 = 0
(p+49)(p-38) = 0
p = 38
Sub back into supply equation to find q
q = 2(38) - 63
q = 13
Answer: Equilibrium is 13 units sold at price of $38.
analytic geometry, also called coordinate geometry, mathematical subject in which algebraic symbolism and methods are used to represent and solve problems in geometry. The importance of analytic geometry is that it establishes a correspondence between geometric curves and algebraic equations.
