🧮 algebra

1. Planteamos el problema: La atleta realizó 21 entrenamientos en total, corriendo en playa o montaña, y recorrió 87 km en total. 2. Definimos variables:

1. El problema nos pide encontrar la coordenada $y$ que falta para el punto $(1, y)$ dado que $y = -6x + 2$. 2. La fórmula que usaremos es la ecuación de la recta: $$y = -6x + 2$$

1. El problema nos pide encontrar la coordenada $y$ que falta para el punto $(1, y)$ usando la función dada. 2. La función es $$y = -9x^2 - 5x + 9$$ donde $x=1$.

1. **State the problem:** Solve the system of equations using substitution: $$\begin{cases} 3x + 4y = 7 \\ y = 2x + 10 \end{cases}$$

1. The problem is to find the total cost for 25 yards of fabric priced at 0.22 per yard. 2. The formula to calculate total cost is: $$\text{Total Cost} = \text{Price per yard} \tim

1. **State the problem:** Solve the simultaneous equations: $$4x + y = 9$$

1. **State the problem:** Evaluate the expression $\left(\frac{1}{16}\right)^{\frac{1}{4}}$. 2. **Recall the rule:** For any positive number $a$ and rational exponent $\frac{m}{n}$

1. **State the problem:** Find the 2nd term in the expansion of $$\left(\frac{3}{x^5} - 4x^4\right)^4$$ using the binomial theorem. 2. **Recall the binomial theorem formula:**

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

1. The problem states that a family drank $p$ pints of milk in one week, and we want to find the equation relating $p$ (pints) to $g$ (gallons). 2. Important fact: 1 gallon = 8 pin

1. **State the problem:** We need to find the equation that relates $g$, the percentage of the sculpture made of glass, to $m$, the percentage made of metal.

1. **Problema:** Simplificar la expresión $h^{-2} \cdot h^{2} x^{-3} \cdot h^{2} x^{1}$ y expresar con exponentes positivos. 2. **Fórmulas y reglas:**

1. **State the problem:** Kirsten is making gingerbread cookies and needs to convert grams to ounces using the equation $$y = 0.04x$$ where $y$ is ounces and $x$ is grams.

1. El problema consiste en evaluar y factorizar polinomios utilizando el método de Horner. 2. El método de Horner es una técnica eficiente para evaluar polinomios y para dividir po

1. Let's start by stating the problem: You want to understand why the expression $ (x + 2R)^2 = x^2 + (x + R)^2 $ is incorrect, while $ (x + R)^2 = x^2 + (x - R)^2 $ is correct. 2.

1. The problem appears to involve comparing or calculating values related to fractions and given options A, B, C, D. 2. Let's clarify the fractions: $\frac{2}{5}$ and $\frac{2}{3}$

1. **State the problem:** We are given two numbers expressed in prime factorization form:

1. **Problem 6:** Solve the system of equations: $$ (y - 1)^2 - 4(x - 7)^2 = 4 $$

1. **State the problem:** Given the equation $12x - 21 = 11x - 9$, solve for $x$. 2. **Write the equation:**

1. **Problem:** Find the sixteenth term of a Fibonacci sequence whose first two terms are -3 and 9. 2. **Formula and rules:** In a Fibonacci sequence, each term after the first two

1. **State the problem:** Multiply the complex numbers $ (9-2i) $ and $ (1+3i) $. 2. **Formula used:** To multiply two complex numbers $ (a+bi) $ and $ (c+di) $, use the distributi