🧮 algebra

1. The problem is to solve the equation $$\frac{2x+3}{4} = 5$$ for $x$. 2. The formula used here is to isolate $x$ by eliminating the denominator. Multiply both sides of the equati

1. The problem asks for the expression that represents "the sum of 6 and the quotient of 9 and n". 2. "Sum" means addition, and "quotient" means division.

1. Das Problem lautet: Löse die Gleichung $2x + 3 = 11$ nach $x$ auf. 2. Die verwendete Formel ist die lineare Gleichung $ax + b = c$, wobei $a$, $b$ und $c$ Konstanten sind.

1. **State the problem:** We need to find the value of the function $f(x) = 3x^3 + 2x^2 + 1$ at $x=5$. 2. **Formula used:** The function is given by

1. El problema es completar los denominadores faltantes en una expresión o ecuación con fracciones. 2. Para resolver problemas con fracciones, recordamos que cada término debe tene

1. Das Problem lautet: Schreibe die Lösungsschritte für eine algebraische Aufgabe auf Deutsch. 2. Zuerst wird das Problem klar formuliert, z.B. eine Gleichung lösen oder einen Ausd

1. **Planteamiento del problema:** Calcular las coordenadas del vector \(\overrightarrow{AB}\), su módulo y argumento dados los puntos \(A(4,-1)\) y \(B(2,-2)\).

1. The problem asks to write given sets in set builder notation. 2. Set builder notation describes a set by a property that its members satisfy.

1. **Problem statement:** Simplify the expression

1. The problem is to solve the equation $2x + 3 = 11$ for $x$. 2. The formula used here is to isolate $x$ by performing inverse operations. We subtract 3 from both sides and then d

1. **State the problem:** We need to find which expressions are equivalent to $28^{-3}$ from the given options. 2. **Recall the laws of exponents:**

1. **State the problem:** Determine whether each expression is equivalent to $7^4$, $7^{-4}$, or Neither. 2. **Recall the rules:**

1. O problema é resolver a equação quadrática $2x^2 - 5x = 0$. 2. A fórmula usada para resolver equações quadráticas é fatoração, soma e produto, ou fórmula de Bhaskara. Aqui, pode

1. **Énoncé du problème** : Trouver l'écriture scientifique du nombre $$C = \frac{0{,}05 \times (10^{-3})^5 \times 3{,}6 \times 10^{-7} \times 0{,}7}{150 \times 10^8 \times 2{,}1}$

1. **Énoncé du problème :** Calculer la valeur de $A = \frac{5}{3} - \frac{4}{3} \times \frac{9}{7} + \frac{3 - \left(\frac{3}{2}\right)^2}{\left(\frac{3}{4}\right) \times 7}$ sous

1. **Énoncé du problème** : Factoriser au maximum les expressions suivantes : $$D = (2x + 7)^2 - 2x - 7$$

1. **Stating the problem:** We are given four equations and three graphs with descriptions. We need to find the equation corresponding to each graph. 2. **Recall the slope-intercep

1. **Problem:** Beräkna $\frac{i}{1+i}$. 2. **Formel och regler:** För att dividera komplexa tal, multiplicera täljare och nämnare med nämnarens konjugat för att få bort imaginära

1. Problemet är att lösa ekvationen $iz = 5 - 3i$ där $i$ är den imaginära enheten med egenskapen $i^2 = -1$. 2. Vi vill hitta $z$ genom att isolera det i ekvationen. Formeln vi an

1. **State the problem:** Factor each of the given expressions: - $64b^4 - 81$

1. **State the problem:** Solve the inequality $$9|x+1| \geq \frac{1}{81}$$. 2. **Recall the properties of absolute values:** For any real number $a$, $|a| \geq 0$ and $|a| = \frac