🧮 algebra

1. The problem is to determine whether the function $f(x) = 5x^3$ is even, odd, or neither. 2. Recall definitions:

1. The problem is to simplify the expression $$\frac{2x^3}{3x^2} \times \frac{4x^3}{6x}$$ and find the simplified result. 2. Start by rewriting the expression:

1. Énoncé du problème : Développer et simplifier la fonction $f(x) = (2x^2 + 1)(3x - 1)^2$, puis étudier les autres fonctions données. 2. Développons $(3x - 1)^2$ :

1. **Stating the problem:** Marwan's car needs 5 liters of gasoline to cover 50 km. We need to find how much gasoline is required for a 200 km trip.

1. First, state the problem: Ahmed’s mother uses 2 oranges and 4 spoons of sugar to make 1 cup of orange juice. 2. We want to find how many oranges and spoons of sugar are needed t

1. First, identify the function described by the graph in the image. The graph appears to be a parabola, so it likely represents a quadratic function. 2. Use the standard form of a

1. **Statement of the problem:** Given:

1. لنقم بفهم المسألة: نريد حساب حاصل ضرب $2\sqrt{8}$ في $\sqrt{2}$. 2. نبدأ بتبسيط التعبيرات الجذرية: \sqrt{8} = \sqrt{4 \times 2} = 2\sqrt{2}.

1. The problem is to simplify the expression $2\sqrt{x} \times 8 \times \sqrt{x} \times 2$. 2. First, rewrite the expression grouping coefficients and square root terms: $2 \times

1. The problem is to find the domain of the function $$f(x) = \frac{x+4}{\sqrt{4x+8}}.$$\n\n2. The domain includes all values of $x$ for which the function is defined. Since there

1. لنبدأ بتحديد المعادلة التي تريد حلها. 2. من فضلك اكتب المعادلة رياضيًا لأتمكن من مساعدتك في حلها بشكل دقيق.

1. نُعطى الدالة $y=f(x)$ بحيث \(y^2 = a x + 2\). 2. المطلوب إيجاد قيمة الثابت $a$ بحيث تكون $y = 3$ و $y < 0$ لجميع قيم $x$ الممكنة.

1. The problem is to analyze the equation $$\frac{x^2 + x - 6}{x - 2} = x + 3$$ and identify what is wrong with it. 2. First, factor the numerator:

1. Let's state the problem: Solve the quadratic equation $$2x^2 - 5x + 2 = 0$$. 2. Identify coefficients: Here, $$a=2$$, $$b=-5$$, and $$c=2$$.

1. Problem: If $\frac{x}{7} = \frac{y}{15} = 1$, find the values of $x$ and $y$. Step 1: Since both fractions equal 1, set each fraction equal to 1.

1. The problem asks to find the total number of tourists in a group if 13500 tourists represent 12% of that group. 2. Let $x$ be the total number of tourists in the group.

1. **Stating the Problem** We will learn about arithmetic sequences and series, understand their formulas, and then solve 5 example problems of varying difficulty with detailed ste

1. نبدأ بتعريف موضوع السؤال: \"ترتيب العمليات على الأعداد النسبية\" يعني معرفة الترتيب الصحيح لتنفيذ العمليات الحسابية (الجمع والطرح والضرب والقسمة والقوى) عند التعامل مع الأعداد ا

1. هذه أسئلة في الرياضيات للصف الثاني المتوسط - الشهر الأول - الفصل الأول من المنهج العراقي 2025. 2. السؤال الأول: حل المعادلة $$3x+5=20$$

1. **Problem Statement:** Show that SO(2, \mathbb{Q}) is a subgroup of GL(2, \mathbb{Q}). SO(2, \mathbb{Q}) is defined as the set of all 2\times 2 orthogonal matrices with rational

1. The problem asks for the square of the fraction \(\frac{25}{9}\). 2. To square a fraction, we square both the numerator and the denominator separately.