🧮 algebra

1. **State the problem:** We have the expression $$100 \times 16s \times 42000 \times 8760 \times 2.32 / 2000 = 3.7$$ and want to understand how to get 7400 from this data set. 2.

1. **Planteamiento del problema:** Resolver la ecuación cuadrática $$12x^2 - 10x - 12 = 0$$ usando la fórmula general. 2. **Fórmula general:** Para una ecuación cuadrática $$ax^2 +

1. **State the problem:** You bought a sweatshirt with a 40% off coupon and paid 18 after the discount. We need to find the original price. 2. **Formula and explanation:** The pric

1. El problema pide escribir la ecuación de la elipse con centro en el origen, eje mayor vertical, vértices en (0, 4) y (0, -4), co-vértices en (3, 0) y (-3, 0), focos en (0, 2) y

1. **Probleem:** Bepaal de richtingscoëfficiënt van de rechte die door de punten A(2, 3) en B(-2, -5) gaat. 2. **Formule:** De richtingscoëfficiënt $a$ van een rechte door twee pun

1. **Stel het probleem vast:** Los de vergelijking $4x^2 + 15x + 14 = 0$ op. 2. **Formule en regels:** We gebruiken de kwadratische formule voor een vergelijking van de vorm $ax^2

1. **Stel het probleem vast:** Los de vergelijking $4x^2 + 15x + 14 = 0$ op. 2. **Formule en regels:** Voor een kwadratische vergelijking $ax^2 + bx + c = 0$ gebruiken we de abc-fo

1. **State the problem:** Simplify the expression $$-2t + 7 - 5t^2 - 4t^2$$. 2. **Identify like terms:** The terms involving $$t^2$$ are $$-5t^2$$ and $$-4t^2$$.

1. **State the problem:** We need to find the length of a rectangle given its perimeter and width. 2. **Given:**

1. **State the problem:** Find how many seconds are in half of 4 minutes. 2. **Recall the conversion formula:** 1 minute = 60 seconds.

1. **Énoncé du problème :** Nous avons une fonction de bénéfice $f(x) = -2x^2 + 12x - 10$ où $x$ représente le nombre de coques produites en centaines.

1. **Planteamiento del problema:** Dadas las matrices

1. **State the problem:** Solve the complex equation $$z^3 + 2z^2 + (8 + 6i)z + 16 + 12i = 0$$ given that $$z = -2$$ is a root. 2. **Use the factor theorem:** Since $$-2$$ is a roo

1. O problema pede para encontrar os valores de $a$ e $b$ tais que o número complexo $$z = (a - b^2 i)i - 8 - 5i$$ seja um imaginário puro. 2. Primeiro, vamos expandir a expressão

1. Planteamos el problema: Resolver la ecuación $$\frac{5}{4} \cdot \left(1 + \frac{x}{5}\right) = x - 1$$. 2. Usamos la propiedad distributiva para eliminar el paréntesis:

1. Planteamos el problema: Resolver la ecuación $$\frac{4 - (4 - x)}{3} = \frac{4 + (3 - x)}{4} - 1$$ para encontrar el valor de $x$. 2. Simplificamos las expresiones dentro de los

1. The problem asks us to describe Polly's movement based on her distance from the store over time as shown by the graph. 2. The graph starts at zero distance, then increases linea

1. **State the problem:** Solve the equation $ (x + 1)(x - 1) = 0 $ for $ x $. 2. **Formula and rule:** The zero product property states that if a product of two factors is zero, t

1. The problem is incomplete as no equation or expression is provided to solve or simplify. 2. Please provide a complete mathematical expression or question to proceed with the sol

1. **State the problem:** Divide the polynomial $9x^3 - 2x^2 + 3x - 2$ by $x - 1$. 2. **Formula and rule:** Polynomial division can be done using long division or synthetic divisio

1. **State the problem:** We want to find which expression is equivalent to $16 + 2 \cdot 36$. 2. **Calculate the original expression:**