🧮 algebra

1. The problem asks to write the sentence "The quotient of -112 and 8 amounts to -14" as an equation. 2. The word "quotient" means division, so the quotient of -112 and 8 is writte

1. **State the problem:** Solve the equation $$- \frac{5}{4} x = \frac{10}{20}$$ for $x$. 2. **Simplify the right side:** $$\frac{10}{20} = \frac{1}{2}$$.

1. El problema nos da varias ecuaciones y nos pide para la primera: identificar la cónica, obtener sus elementos y graficarla. 2. La primera ecuación es $$y^2 = -20x$$.

1. The problem asks for the root of 14, which typically means finding the square root of 14. 2. The square root of a number $x$ is a value $y$ such that $$y^2 = x$$.

1. The problem asks for the root of 36. 2. The root usually refers to the square root, which is the number that when multiplied by itself gives the original number.

1. El problema nos da varias ecuaciones y nos pide para la primera: (1) identificar la cónica, (2) obtener sus elementos, y (3) graficarla. 2. La ecuación dada es $$y^2 = -20x$$.

1. 問題の説明：練習5の式を代入し、展開して整理します。 2. まず、練習5の式を確認します（ここでは仮に練習5の式を $a(x+y)$ とします）。

1. The problem is to find the remainder when 30 is divided by 100, which is expressed as $30 \% 100$. 2. The modulo operation $a \% b$ gives the remainder when $a$ is divided by $b

1. **State the problem:** We are given the values $A=129$, $a=4$, and $t=18$ and need to find $T$ in the formula for the sum of an arithmetic series. 2. **Recall the formula:** The

1. **Stating the problem:** Solve the equation $$x^x = 9\sqrt{\frac{1}{3}}$$ for $x$. 2. **Rewrite the right side:** Note that $$9\sqrt{\frac{1}{3}} = 9 \times \left(\frac{1}{3}\ri

1. El problema nos da varias ecuaciones y nos pide para la primera: (1) identificar la cónica, (2) obtener sus elementos, y (3) graficarla. 2. La ecuación dada es $$y^2 = -20x$$.

1. **State the problem:** We have temperatures in different cities and need to find:

1. **State the problem:** Calculate the value of the expression $$24 \cdot (27 - 6) \div 3 - \sqrt{25 \cdot 3}$$. 2. **Apply order of operations (PEMDAS/BODMAS):**

1. We beginnen met de uitdrukking $9\pi \over 4 \sqrt{2} \over 2$. 2. Dit betekent eigenlijk $\frac{9\pi}{4} \times \frac{\sqrt{2}}{2}$.

1. Planteamos el problema: Encontrar el nivel de ventas $x$ que maximiza la función de ingresos $$I(x) = -2x^2 + 40x.$$ 2. La función es cuadrática con coeficiente principal negati

1. **Problem 1: Solve the system by equalization:** Given:

1. **State the problem:** Solve the system of equations using the equalization method. Given:

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

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

1. **Problem:** Simplify the expression $\frac{1}{8}x \cdot x - \frac{3}{2}$.\n2. Use the exponent rule $x \cdot x = x^2$.\n$$\frac{1}{8}x \cdot x - \frac{3}{2} = \frac{1}{8}x^2 -

1. The problem is incomplete as it shows a fraction with an empty denominator: $\frac{1}{ }$. 2. A fraction requires both a numerator and a denominator to be defined.