🧮 algebra

1. **State the problem:** We are given pairs of letter pairs and numbers: KL : MN :: OP : ? with numbers 66, 91, 120, and options for the missing pair and number. 2. **Analyze the

1. **Rewrite without the absolute value sign:** (a) Given $|x| < 3$, this means $-3 < x < 3$.

1. **Problem statement:** We have two curves: Curve C defined by $y=\frac{k}{x}$ where $k\neq0$, and Curve Q defined by $y=3x^2 - 2x$.

1. مسئله: تابع $$f(x) = \frac{\sqrt{1 - x^7}}{x - \frac{1}{2}[\sqrt{2x}]}$$ را داریم. می‌خواهیم دامنه تابع را پیدا کنیم و نقاط $$m$$ و $$n$$ را که به ترتیب دارای همسایگی محذوف و هم

1. 問題陳述：您問的是「第一題的2怎麼解」，假設這是指數學問題中第一題的第二部分。 2. 由於沒有具體題目內容，我將示範如何解決一個典型的代數問題中第二部分的步驟。

1. The problem is to express the number 2.15 multiplied by 10 raised to the power of -3 in standard decimal form. 2. The general formula for numbers in scientific notation is:

1. **Problem Statement:** Determine the domains of the functions $f(x) = \frac{x+1}{2x-3}$ and $g(x) = \sqrt{5-3x}$, and the domain of the composite function $(h \circ g)(x)$ where

1. Bài toán yêu cầu giải thích ngắn gọn về một vấn đề toán học hoặc bài tập cụ thể. 2. Vì không có đề bài cụ thể, tôi sẽ trình bày một ví dụ đơn giản về giải phương trình bậc nhất.

1. **Stating the problem:** We want to write the expression $$\frac{-3 \times -5}{5 - 3 + (+3 \times -8)} + (6 - 2 \times -1 + 3)$$ in lexicographic (infix), postfix, and prefix no

1. The problem is to understand and work with the function $y = 6 \sqrt{x} + 1$. 2. This function involves a square root, which means $\sqrt{x}$ is defined only for $x \geq 0$.

1. The problem is to understand and compare quantities using formulas typically taught in class 8. 2. When comparing quantities, we often use ratios and percentages to express how

1. **State the problem:** Rationalize the expression $$\frac{\sqrt{3} + \sqrt{2}}{\sqrt{3} - \sqrt{2}}$$. 2. **Formula and rule:** To rationalize a denominator with radicals, multi

1. **Stating the problem:** We want to express the given expression $$\frac{(-3 \times -5)}{(5 - 3 + (+3 \times -8))} + (6 - 2 \times -1 + 3)$$ in lexicographic, postfix, and prefi

1. The problem is to understand and simplify the given Excel formula: =IF(J3=0,"",(A14/(B14*SQRT(4*PI()*C14*J3)))*EXP(-((D14-F14*J3)^2)/(4*C14*J3)))

1. The problem states that $x = 2$. This is a simple assignment or value declaration. 2. Since $x$ is given directly as 2, there is no further calculation needed.

1. **State the problem:** We are given the rational function $$y = \frac{x + 4}{x - 2}$$ and want to understand its behavior and graph. 2. **Identify key features:**

1. Problem: Find the value of $f(3)$ for the polynomial function $f(x) = x^4 - 3x^2 + 4x + 2$ using substitution and Horner's method. 2. Formula and rules: Horner's method is a syn

1. The problem is to find the product of the complex numbers $1+i$ and $1-i$. 2. Recall the formula for multiplying complex numbers: if $z_1 = a+bi$ and $z_2 = c+di$, then

1. Masalah: Tentukan luas daerah R yang dibatasi oleh kurva $$y = x^2 - 2x$$ dan garis $$y = x$$. 2. Langkah pertama adalah mencari titik potong kedua kurva tersebut dengan menyama

1. The problem is to subtract the fractions $\frac{1}{2}$ and $\frac{1}{8}$. 2. To subtract fractions, they must have a common denominator. The denominators here are 2 and 8.

1. Найти производную функции $y = 5x^7 + 2x^5 - 6x + 34$. 2. Формула для производной суммы и степенной функции: