🧮 algebra

1. **Menyatakan masalah:** Percetakan "Integral" menjual buku dengan harga awal Rp 120000 dan rata-rata terjual 1000 buku per bulan.

1. **Nyatakan masalah:** Diketahui harga awal buku adalah Rp 120000, dan rata-rata terjual 1000 buku per bulan.

1. **Stating the problem:** A sofa is advertised with a price reduction of RM800 less 30% and then an additional 10% discount. We need to find the net price and the total discount.

1. The problem asks for the single discount equivalent to successive discounts of 20%, 10%, and 2%. 2. When multiple discounts are applied successively, the equivalent single disco

1. **Problem Statement:** We have a square sheet of metal 12 inches on each side. Squares of side length $x$ inches are cut from each corner, and the sheet is folded to form an ope

1. **State the problem:** We are given two points representing the number of employees (in millions) in educational services for years 2005 and 2014, with $x=5$ for 2005 and $x=14$

1. ปัญหา: จงเขียนกราฟของสมการเชิงเส้นสองตัวแปร 2x + y = 1 ให้อยู่ในรูป y = mx + b และใช้วิธีแทนค่าตัวแปร x เพื่อหาค่า y 2. สูตรและกฎสำคัญ: สมการเชิงเส้นสองตัวแปรทั่วไปคือ $$Ax + By

1. Let's start by stating the problem: You asked to explain "that theorem," but since the specific theorem is not mentioned, I will explain a common fundamental theorem in algebra:

1. The problem is to analyze the inequality $6 < 2x - 3y$. 2. This inequality involves two variables, $x$ and $y$, and represents a region in the coordinate plane.

1. **State the problem:** Find 12.5% of 480. 2. **Formula:** To find a percentage of a number, use the formula:

1. **State the problem:** Simplify the expression $ (x+y)(x-y) $. 2. **Formula used:** This is a product of conjugates, which follows the identity:

1. **State the problem:** Find 25% of 240. 2. **Formula used:** To find a percentage of a number, use the formula:

1. **State the problem:** Solve the quadratic equation $2x^2 - 12x - 16 = 0$. 2. **Formula and rules:** The quadratic formula to solve $ax^2 + bx + c = 0$ is:

1. **Problem statement:** Find the values of $x$ and $y$ given:

1. **Problem Statement:** We have petrochemical export data for years 2010 to 2014 with values 17, 18, 20, 22, and 23.5 billion respectively. We use two models:

1. Nyatakan masalah: Cari nilai $x$ yang memenuhi persamaan kuadratik $2x^2 - 4x - 6 = 0$. 2. Gunakan formula kuadratik: $$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$$ di mana $a=2$, $

1. The problem states a sequence defined by the recurrence relation $$a_n = 2a_{n-1} + 1$$ with the initial term $$a_1 = 1$$. We need to find the 5th term, $$a_5$$. 2. The recurren

1. **State the problem:** We have two matrices $$P=\begin{pmatrix} x^{2} & 3 \\ 1 & 3x \end{pmatrix}$$

1. **State the problem:** Solve the quadratic equation $x^2 + 6x + 4 = 0$. 2. **Formula used:** The quadratic formula is given by $$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$$ where $

1. **State the problem:** Solve for $x$ in the equation $3x^2 = 75$. 2. **Formula and rules:** To solve quadratic equations of the form $ax^2 = b$, isolate $x^2$ by dividing both s

1. Masalah: Diketahui perbandingan umur Ayah dan Paman adalah 9:7 dan selisih umur mereka adalah 8 tahun. Kita diminta mencari jumlah umur mereka berdua saat ini. 2. Gunakan variab