🧮 algebra

1. مسئله: بررسی یک عبارت یا معادله ریاضی به زبان فارسی. 2. ابتدا باید مسئله دقیق را مشخص کنید تا بتوانیم فرمول‌ها و قوانین مربوطه را به کار ببریم.

1. **Problem statement:** Find the inverse function of $ق(s) = 3s + 2$. 2. **Formula and rules:** To find the inverse function $ق^{-1}(y)$, swap $s$ and $y$ and solve for $s$.

1. **State the problem:** Solve the inequality $$x^3 + 4x^2 - 36 \ge 0$$. 2. **Formula and approach:** To solve polynomial inequalities, first find the roots by setting the polynom

1. დავალება: დავწეროთ მაგალითი, რომელიც მოიცავს ალგებრის ძირითად ოპერაციებს და მისი ამოხსნა. 2. მაგალითი: ამოიღეთ $x$-ის მნიშვნელობა განტოლებიდან $$2x + 3 = 11$$.

1. Problem: Find the HCF (Highest Common Factor) of 12, 14, 19, 25, and 36. 2. The HCF of a set of numbers is the greatest number that divides all of them exactly.

1. The problem is to graph the piecewise function $$f(x) = \begin{cases} 1 - x & \text{if } x < 0 \\ 1 & \text{if } x = 0 \\ x + 1 & \text{if } x > 0 \end{cases}$$. 2. This functio

1. **Problem:** A fashion designer buys fabric for 500 and sells a dress made from it for 800. What's the profit percentage? 2. **Formula:** Profit percentage is given by

1. The problem is to find the sum of the integers from 1 to 13. 2. The formula to find the sum of the first $n$ natural numbers is:

1. **Problem:** Calculate the value of $(-a)(+a)$. 2. **Formula:** Multiplying a negative and a positive number results in a negative number. Also, $(-a)(+a) = -a^2$.

1. **Énoncé du problème :** On a une suite définie par $u_0=2$ et $u_{n+1} = \frac{u_n}{u_n+1}$ pour tout $n \in \mathbb{N}$. On pose $v_n = \frac{1}{u_n}$.

1. Planteamos el problema: Dada la ecuación $(x - a)(x - b) = x^2 - 12x + 27$, debemos encontrar el valor de $a + b$. 2. Recordemos que al expandir el producto de dos binomios $(x

1. Let's start with a simple fractions aptitude test problem: Simplify the fraction $\frac{18}{24}$.\n\n2. The formula to simplify a fraction is to divide both the numerator and th

1. The problem is to find the sum of two fractions. 2. The formula to add fractions is $$\frac{a}{b} + \frac{c}{d} = \frac{ad + bc}{bd}$$ where $a$, $b$, $c$, and $d$ are integers

1. مسئله را بیان می‌کنیم: مقدار $$\log_4 \left( \log_3 \left( \log_2 512 \right) \right)$$ را بیابید. 2. ابتدا مقدار داخل‌ترین لگاریتم را محاسبه می‌کنیم: $$\log_2 512$$.

1. **Énoncé du problème :** Compléter les relations d'appartenance entre les nombres et ensembles donnés. 2. **Rappel des symboles :**

1. The problem is to solve the equation, but the equation is not provided. Please provide the equation you want to solve.

1. **Problem statement:** We have a rectangular sheet of metal 20 cm by 12 cm. Squares of side length $x$ cm are cut from each corner, and the sides are bent up to form an open box

1. **Problem Statement:** Calculate the profit or loss when an item is bought for 100 and sold for a certain price. 2. **Formula:**

1. The problem is to understand and solve questions related to matrices, which are rectangular arrays of numbers arranged in rows and columns. 2. A matrix is usually denoted by a c

1. The problem is to find the equation of a straight line graph given certain conditions. 2. The general formula for a straight line is $$y = mx + c$$ where $m$ is the slope and $c

1. **State the problem:** We are given the function $X(t) = 3x\left(1-\frac{t}{2}\right) + 1$. We want to understand or simplify this expression. 2. **Clarify the function:** It se