🧮 algebra

1. **State the problem:** Solve the equation $3b + 2 = 14$ for $b$. 2. **Formula and rules:** To solve for $b$, isolate the variable by performing inverse operations. Subtract or a

1. **Problema:** hablar de la **función cuadrática**. 2. **Fórmula general:** una función cuadrática se escribe como $$f(x)=ax^2+bx+c$$, donde $a\neq 0$.

1. Resolver $x^2 - x - 6 = 0$ por factorización. La fórmula para factorizar un trinomio cuadrado es buscar dos números que multiplicados den $-6$ y sumados den $-1$.

1. Primero, identifica el método que quieres que use para resolver los ejercicios. El "método igual" generalmente se refiere a resolver sistemas de ecuaciones por igualar las expre

1. **Planteamiento del problema:** Resolver la ecuación cuadrática $$2x^2 - 2x = 14$$ usando el método de factorización, similar al ejemplo dado para $$2x^2 + 7x - 4 = 0$$. 2. **Re

1. **Planteamiento del problema:** Resolver la ecuación cuadrática $$x^2 - x - 6 = 0$$ por factorización. 2. **Fórmula y reglas:** Para factorizar una ecuación cuadrática $$ax^2 +

1. **State the problem:** Solve the system of equations by substitution: $$y = -x + 24$$

1. **State the problem:** Solve the system of equations by substitution: $$y = -9x + 5$$

1. **State the problem:** Solve the quadratic equation $$x^2 + 4x + 4 = 0$$. 2. **Recall the formula:** The quadratic equation $$ax^2 + bx + c = 0$$ can be solved using the quadrat

1. **State the problem:** Solve the quadratic equation $$x^2+4x+4=0$$. 2. **Recall the formula:** The quadratic equation $$ax^2+bx+c=0$$ can be solved by factoring, completing the

1. **State the problem:** Calculate the discount amount when a dress priced at $24 is offered with a 15% discount. 2. **Formula used:** The discount amount is calculated by multipl

1. **State the problem:** We need to find the profit and the percentage profit made by Olm Traders who bought clothes for $150 and sold them for $192.

1. **State the problem:** We are given two linear equations: $$y = 2x + 1$$ and $$y = 3x + 5$$. We need to find the point where these two lines intersect. 2. **Set the equations eq

1. **State the problem:** We are given the linear function $$y=2x+1$$ and want to understand its properties. 2. **Formula and explanation:** This is a linear equation in slope-inte

1. **State the problem:** We need to graph the function $$f(x) = \sqrt{x} - 1$$. 2. **Recall the formula and domain:** The square root function $$\sqrt{x}$$ is defined for $$x \geq

1. **Stating the problem:** Calcoliamo il valore dell'espressione $$10 \left[ \frac{8}{3^2} : \left(\frac{1}{2} + \frac{5}{6}\right)^3 - \frac{1}{5^2} : \left(\frac{2}{5} + \frac{1

1. **Stating the problem:** Calcolare il valore dell'espressione $$\sqrt{2^4 + 2^2 + 2^5 \cdot 2^2 \times 3 + \frac{3^2}{12} - 5^2 - (23 - 4 \times 5)}$$.

1. The problem asks to find the full answer and understand the function $f$. 2. To understand a function $f$, we need to know its definition, domain, and how it behaves.

1. The problem is to simplify the expression $16 + f + 7$. 2. The formula used here is the addition of like terms and constants.

1. Simplifica $\frac{(a^{-3}b^{2})^{2} \cdot (a^{2}b^{-4})^{-3}}{a^{0} \cdot b^{5}}$ dejando exponentes positivos. 1.1. Aplica la propiedad de potencias de potencias: $(x^{m})^{n}

1. **Problem:** Simplify $\frac{x + 3y}{25x^3y} - \frac{x + y}{25x^3y}$. 2. **Formula:** When subtracting rational expressions with the same denominator, subtract the numerators an