🧮 algebra

1. The problem asks to find the area of the shaded region in the given rectangle. 2. The rectangle is divided into two vertical parts, each with width $x+1$, so the total width is

1. The problem is to simplify the expression \(\sqrt{\sqrt{x}}\). 2. Recall the rule for radicals: \(\sqrt{a} = a^{\frac{1}{2}}\).

1. **State the problem:** Solve the expression $3 - 2(x-1)^2 + \frac{1}{2}(x+1)$ and simplify it. 2. **Recall the formulas and rules:**

1. **State the problem:** Solve the equation or expression given by the user. Since no specific equation was provided, let's consider a simple example: solve for $x$ in $2x + 3 = 7

1. Énonçons le problème : on cherche à simplifier ou analyser l'expression $h=\frac{f-g}{g+1}$.\n\n2. La formule utilisée est la définition de $h$ en fonction de $f$ et $g$. Il s'a

1. Énoncé du problème : On a deux fonctions définies sur \(\mathbb{R}\) : \(f(x) = x - 5\) et \(g(x) = x^2 - x + 2\). On doit trouver les expressions de \(h(x)\) pour plusieurs com

1. **State the problem:** Solve the equation $$\frac{4y}{5} + 6 \frac{9}{12} = 11 \frac{11}{20}$$ for $y$. 2. **Convert mixed numbers to improper fractions:**

1. პრობლემა: გვსურს გავიგოთ, როგორ უნდა მოვაგვაროთ ალგებრული ამოცანა ყველაზე მარტივი ხერხით. 2. ალგებრული ამოცანების მოსაგვარებლად ყველაზე მარტივი ხერხი არის:

1. **Énoncé du problème :** Soient $x$ et $y$ deux nombres réels tels que $x \geq 2$, $y \leq 1$ et $x - y = 4$.

1. დავიწყოთ პრობლემის აღწერით: საწვავის ფასმა მოიმატა 40%-ით. 2. თუ საწყისი ფასი იყო $P$, მაშინ ფასის ზრდის შემდეგ ახალი ფასი იქნება $P + 0.40P = 1.40P$.

1. Factorise $x^2 - 6x + 8$. We look for two numbers that multiply to $8$ and add to $-6$. These are $-4$ and $-2$.

1. Factorise $ax - ay$: $$ax - ay = a(x - y)$$

1. Das Problem lautet: Löse die Gleichung $$2x + 3 = 7$$. 2. Die verwendete Formel ist die lineare Gleichung in der Form $$ax + b = c$$, wobei wir $x$ isolieren wollen.

1. **State the problem:** Simplify the expression $$\left(\frac{4a^{-2} b^{3}}{8a^{4} b^{-4}}\right)^{-2}$$. 2. **Recall the rules:**

1. **State the problem:** Evaluate the expression $2 + 1 \times 2$ and verify if it equals any of the given numbers (5, 8, 12, 16, 21). 2. **Recall the order of operations:** Multi

1. **State the problem:** We need to analyze and simplify the function $$y = \frac{\sqrt{1 + x^2 - 4}}{x}$$ and understand its domain and behavior. 2. **Simplify the expression ins

1. El problema nos pide encontrar la función inversa de la función lineal dada $$v(t) = 3t + 5$$. 2. La función inversa, denotada como $$t(v)$$, nos permite encontrar el tiempo $$t

1. The problem is to identify rational numbers from a given set. 2. A rational number is any number that can be expressed as $\frac{p}{q}$ where $p$ and $q$ are integers and $q \ne

1. The problem is to evaluate the expression $4.94 \times 10x^{-3}$. 2. This expression involves multiplication and an exponent with a variable $x$.

1. Planteamos el problema: El costo de energía $C(h)$ es directamente proporcional a las horas de funcionamiento $h$ de la máquina. 2. La fórmula para una relación directamente pro

1. مسئله: شما پرسیده‌اید که عدد 1/2 آخر یک عبارت یا محاسبه از کجا آمده است. 2. برای توضیح این موضوع، باید بدانیم که 1/2 معمولاً به معنی نصف یا تقسیم بر 2 است.