🧮 algebra

1. The problem asks to create a table of numbers that are multiples of 2 and whose total sum is 15000. 2. We know multiples of 2 are numbers like 2, 4, 6, 8, ...

1. Verilmiş funksiyanı yazırıq: $$f(x, y) = x^2 + y^2 - 2xy$$ 2. İndi $f(1, 2)$ qiymətini tapırıq:

1. Problem: Given the function $f(x,y) = x^2 + y^2 - 2xy$ and $k = 1.30$, find the value of $k \cdot f(1,2)$. 2. First, calculate $f(1,2)$ by substituting $x=1$ and $y=2$ into the

1. **Problem:** Evaluate $7.2 \times (3.75 - 1.25)^2$ without a calculator. 2. **Step 1:** Calculate the expression inside the parentheses:

1. **State the problem:** Simplify the expression $-hk + hq + hq$. 2. **Identify like terms:** The terms $hq$ and $hq$ are like terms because they have the same variables.

1. **State the problem:** Solve the inequality $4x - 1 < 12x - 11$. 2. **Recall the rule:** To solve inequalities, we isolate the variable on one side. When subtracting or adding t

1. Bài toán yêu cầu tạo ra một đề toán tương tự với một bài toán đã cho (giả sử bài toán gốc là giải phương trình bậc hai hoặc tính giá trị biểu thức). 2. Để ra đề tương tự, ta cần

1. **State the problem:** Solve the inequality $4x - 1 < 12x - 1$. 2. **Write the inequality:**

1. **State the problem:** We need to prove algebraically that the sum of $\frac{1}{2}n(n+1)$ and $\frac{1}{2}(n+1)(n+2)$ is always a square number, where $n$ is an integer.

1. **State the problem:** We have a room where the length is $\frac{3}{2}$ times the breadth. The cost of carpeting the floor is 17550 at 3.25 per m², and the cost of papering the

1. Masalah ini meminta kita menentukan dua angka yang hilang dalam deret angka berikut: 100 ; -10 ; __ ; __ ; 1 ; -1 ; 0.1 ; 2 ; 0.01 ; 4. 2. Perhatikan pola perubahan angka dari s

1. Masalah: Tentukan angka yang hilang dalam seri berikut: 11 ; 14 ; 7 ; __ ; 25 ; 30 ; 35 ; 41 2. Perhatikan pola perubahan angka dalam seri tersebut.

1. Let's start with a simple algebra problem: Solve for $x$ in the equation $$2x + 3 = 11$$. 2. The formula to solve for $x$ in a linear equation like this is to isolate $x$ on one

1. The problem is to simplify the expression $ax - by$. 2. This expression is already in its simplest form because it is a linear combination of two variables $x$ and $y$ with coef

1. **State the problem:** Solve for $x$ in the equation $$5^{3x - 7} = 3^{3x - 7}.$$\n\n2. **Understand the equation:** Both sides have the same exponent $3x - 7$, but different ba

1. **Problem:** Given the equation $$24^x - 2 \tan(3x) - 10^x = 14^x$$ with $$x \leq 5 \times 90^\circ$$, find the value of $$x$$ correct to the nearest whole number. 2. **Formula

1. **Stating the problem:** Find the value of $\frac{a}{b}$ given that $$\lim_{x \to -1} \frac{x+3}{x^3 + ax + b} = +\infty.$$

1. Let's start by understanding the problem: You want to know why we use variables like $a$ and $b$ when combining fractions and what happens when we combine them. 2. When combinin

1. **Problem Statement:** Find the sum $$S=\frac{1}{1\times 2}+\frac{1}{2\times 3}+\frac{1}{3\times 4}+\cdots+\frac{1}{n(n+1)}$$ and understand why the term $$\frac{1}{k(k+1)}$$ is

1. **Stating the problem:** Find the equation of the line passing through points A(4,9) and B(5,7), and find the x-intercept of this line. 2. **Formula for the equation of a line t

1. **State the problem:** Solve the equation $3^x - 2 = 5^{x+1}$ for $x$. 2. **Rewrite the equation:** The equation is $3^x - 2 = 5^{x+1}$.