Scarlett vende ponchos de diseñador. El ingreso, RRR, que obtiene al vender un lote de nnn ponchos está dado por la función R(n)=20nR(n)=20nR, left parenthesis, n, right parenthesis, equals, 20, n y el gasto, EEE, que necesita hacer para producir un lote de nnn ponchos está dado por la función E(n)=10\cdot \sqrt{n}E(n)=10⋅ n

E, left parenthesis, n, right parenthesis, equals, 10, dot, square root of, n, end square root.
Sea PPP la ganancia total que Scarlett obtiene al producir y vender un lote de nnn ponchos.

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.