🧮 algebra

1. **State the problem:** We need to write a linear equation that models the amount of flour $y$ in grams in the machine as a function of time $x$ in minutes since the machine was

1. **State the problem:** We need to find a linear equation that models the relationship between time $x$ (in hours) and battery charge $y$ (percentage) based on the given data. 2.

1. **Planteamiento del problema:** Se tiene la interacción entre tres industrias P, Q y R con la tabla dada que muestra las demandas internas entre industrias, demandas finales y p

1. **State the problem:** We are given a table of values for $x$ and $y$ and need to find the linear equation $y = mx + b$ that fits the data. 2. **Identify the points:** The table

1. **State the problem:** We are given a table of values for $x$ and $y$ and need to find the linear equation that relates $y$ to $x$. 2. **Given table:**

1. El problema es crear tablas con todas las fórmulas necesarias para encontrar los elementos de una hipérbola vertical y horizontal, tanto para la forma estándar (reó) como para l

1. El problema es encontrar las fórmulas para calcular todos los elementos de una hipérbola. 2. La forma estándar de una hipérbola horizontal es $$\frac{(x-h)^2}{a^2} - \frac{(y-k)

1. The problem asks which two terms should be switched to arrange the list in ascending order. 2. The list given is: $$\left| -\frac{12}{5} \right|, -\frac{1}{\frac{3}{4}}, 0.5, -4

1. **State the problem:** We have the list of numbers $\left| -\frac{5}{12} \right|$, $-\frac{4}{3}$, $0.5$, and $-4$. We want to find which two terms should be switched to arrange

1. **State the problem:** Solve the system of equations algebraically: $$3x - 2y = 2$$

1. **State the problem:** Solve the system of equations algebraically using substitution or elimination. Given:

1. **Stel het probleem vast:** We hebben punten Q, M, D met gegeven absolute waarden (abscis) $|Q|=4$, $|M|=1$, $|D|=3$. We moeten de abscis van punten A en B bepalen, gegeven de c

1. The problem asks to write the domain and range of the graph described in example 16, which is an increasing curve with a vertical asymptote near $x = -5$ and crossing near $(-4,

1. **Énoncé du problème :** Calculer et simplifier l'expression $$ (e^x - e^{-x})^2 - e^{-2x} (e^{4x} + e^0) $$.

1. **Énoncé du problème :** Trouver l'ensemble des solutions réelles de l'équation $$e^{-5x+2} = e^{4x-1}$$.

1. El problema consiste en expandir y simplificar el cuadrado de un binomio, que es una expresión algebraica de la forma $ (a + b)^2 $.\n\n2. La fórmula para el cuadrado del binomi

1. El problema es convertir la expresión factorizada $ (x+2)(x-4) $ a forma polinómica y luego a forma canónica. 2. Para pasar de forma factorizada a polinómica, usamos la propieda

1. The problem is to find the sum of two complex numbers $z_1 = -1 + 2i$ and $z_2 = 2 + 3i$. 2. The formula for adding complex numbers is:

1. **State the problem:** Factor completely the quadratic expression $5x^2 - 6x - 8$. 2. **Recall the factoring formula:** For a quadratic $ax^2 + bx + c$, we look for two numbers

1. **State the problem:** Factor the quadratic expression $$3x^2 + 23x + 14$$ completely. 2. **Recall the factoring formula:** For a quadratic $$ax^2 + bx + c$$, we look for two nu

1. **State the problem:** Find the slope of the line given by the equation $$2x - 5y = 9$$. 2. **Rewrite the equation in slope-intercept form:** The slope-intercept form is $$y = m