🧮 algebra

1. The problem is to find which number line model represents the expression $3 \frac{1}{2} + (-6)$. 2. First, convert the mixed number to an improper fraction or decimal: $3 \frac{

1. **State the problem:** Solve the equation $$4x + (5x - (6x - (7x - (8x - 9)))) = 10$$ for $x$. 2. **Understand the problem:** This is a nested expression with multiple parenthes

1. **Problem Statement:** Find the domain and range of the function $f(x) = \sqrt{4 - x^2}$.\n\n2. **Understanding the function:** The function involves a square root, so the expre

1. **State the problem:** We want to verify the determinant of the 3x3 matrix:

1. **State the problem:** Simplify the expression $$\frac{x - x - y + y}{2x^2 + 3xy + y^2} \cdot \frac{y^2 - 4x^2}{2x^2 + xy - y^2}$$. 2. **Simplify the numerator of the first frac

1. The problem is to simplify the expression $\frac{3}{\sqrt{3}}$. 2. The formula used here is to rationalize the denominator, which means to eliminate the square root from the den

1. **Stating the problem:** Andi has an aquarium of size 60 cm x 45 cm x 45 cm.

1. **Stating the problem:** Kita diminta mencari harga dari 5 ikan mas koki, 2 ikan komet, dan 3 ikan molly berdasarkan informasi harga yang diberikan.

1. **Problem Statement:** Find the value of a rational expression, which is a fraction where both numerator and denominator are polynomials or numbers. 2. **Formula and Rules:** A

1. **Problem Statement:** We will review algebraic fractions, including simplification, finding common denominators, addition, subtraction, multiplication, and division. 2. **Simpl

1. **Stating the problem:** We want to review all the important knowledge about fractions. 2. **Definition:** A fraction represents a part of a whole and is written as $\frac{a}{b}

1. **State the problem:** Simplify the expression $$\frac{4+5-(3\times 3)+10}{5}+2$$. 2. **Recall the order of operations:** Perform multiplication first, then addition and subtrac

1. **Stating the problem:** We need to understand and perform calculations involving polynomials and monomials. 2. **Definitions:**

1. The problem is to understand the concept of a geometric sequence. 2. A geometric sequence is a sequence of numbers where each term after the first is found by multiplying the pr

1. **State the problem:** Jack mixes two sugar solutions, Brand A with 25% sugar and Brand B with 50% sugar, to get a mixture with 40% sugar. We need to find the mass ratio of solu

1. Diketahui fungsi $f(x) = 6x - 3$ dan $g(x) = 5x + 4$. Kita diminta mencari nilai $a$ sehingga $(f \circ g)(a) = 81$. 2. Definisi komposisi fungsi adalah $(f \circ g)(a) = f(g(a)

1. The problem is to simplify the expression $y^3 + \frac{1}{x^3 y^3}$. 2. We start by recognizing the terms: the first term is $y^3$ and the second term is $\frac{1}{x^3 y^3}$.

1. **State the problem:** Simplify the expression $$\frac{1}{10x^3} + \frac{1}{5}$$ where the fractions are added. 2. **Formula and rules:** To add fractions, they must have a comm

1. Tentukan himpunan penyelesaian dari pertidaksamaan $ (x + 2) < 2(2x + 4) $ dan gambarkan grafiknya. 2. Pertidaksamaan ini berarti kita harus mencari nilai $x$ yang membuat $x +

1. **Énoncé du problème :** Nous avons la fonction $g$ définie sur $\mathbb{R}$ par

1. المشكلة: حل الباقي يعني إيجاد باقي قسمة عدد على عدد آخر. 2. القاعدة: عند قسمة عدد صحيح $a$ على عدد صحيح $b$ (حيث $b \neq 0$)، الباقي $r$ هو العدد الذي يحقق: