There are a total of 11 ducks and goats in the barn. There are 34 legs in all (each duck has two legs and each goat has four
legs).
Use substitution to solve the linear system of equations and
determine how many ducks, x, and goats, y there are. Express
the solution as an ordered pair (x, y).

step-by-step explanation:

f(x)=2x^2 -1 

translation is a function transformation that transform the function in a way of translating. by translating the function its graph is moved  up an down. moving the function f(x) 2 units to the left will be the new function g(x) with the equation: g(x)=f(x+2)=2(x+2)^2 -1

75%

step-by-step explanation:

in mathematics, a constraint is a condition of an optimization problem that the solution must satisfy. there are several types of constraints—primarily equality constraints, inequality constraints, and integer constraints. the set of candidate solutions that satisfy all constraints is called the feasible set.

hoped i'm right lol