🧮 algebra

1. Stating the problem: Solve the equation $$|x|4x + 3 = -5$$. 2. First, isolate the absolute value term and constants: $$|x|4x = -5 - 3$$ which simplifies to $$|x|4x = -8$$.

1. **Problem:** If the price of petrol is increased by 10% and then decreased by 10%, what is the equivalent change in percentage? 2. **Formula:** When a quantity is increased by $

1. **State the problem:** Calculate the expression $$^n-1r=4(6r^5+2^r+7)$$. 2. **Clarify the expression:** It seems the expression might have a formatting issue. Assuming you want

1. The problem is to generate fill-in-the-blank questions for an arithmetic sequence for class 10 students. 2. An arithmetic sequence is a sequence of numbers in which the differen

1. مسئله: شما پرسیده‌اید درباره "براکت" که در ریاضیات معمولاً به پرانتزها یا علامت‌های گروه‌بندی اشاره دارد. 2. براکت‌ها برای گروه‌بندی عبارات ریاضی استفاده می‌شوند تا ترتیب انجام

1. The problem asks for the steps to solve question a. 2. Since the exact problem statement for question a is not provided, I will demonstrate a general approach to solving algebra

1. **Problem:** Simplify $$\frac{(a^4 b^{-3})^5}{a^{-7} b^8}$$ and express your answer with positive indices. 2. **Formula and rules:**

1. **Problem statement:** A farmer has 450 m of fencing to enclose a rectangular area and divide it into two sections with a fence parallel to one side. 2. **Define variables:** Le

1. **State the problem:** Simplify the expression $\frac{1}{2}a^{3}b \div ab^{2} \cdot (-4b^{5})$. 2. **Rewrite the expression:** Division can be rewritten as multiplication by the

1. Diketahui nilai $x$ sebagai berikut: $$x = \frac{(0.74 + 0.46)^2 + (0.74 - 0.46)^2}{0.74 \cdot 0.74 + 0.46 \cdot 0.46}$$

1. **Problem Statement:** Find the inverse of the matrix $$A = \begin{pmatrix} 3 & 5 \\ 4 & 1 \end{pmatrix}$$. 2. **Formula for Inverse of a 2x2 Matrix:** For a matrix $$M = \begin

1. The problem is to analyze the equation $X = y^2$. 2. This equation represents a parabola opening to the right in the $xy$-plane.

1. **State the problem:** Simplify the expression $$\frac{1}{2} \div ab^2 \cdot 9(-4b^5)$$. 2. **Rewrite division as multiplication:** Division by $$ab^2$$ is the same as multiplic

1. ابتدا معادله یا معادلات مورد نظر را مشخص کنید. 2. قوانین و فرمول‌های مرتبط با نوع معادله را یادآوری کنید، مثلاً معادلات خطی، درجه دوم، یا سیستم معادلات.

1. **State the problem:** Simplify the expression $(-r+4s)+2r-(-2s+r)$. 2. **Recall the rules:** When removing parentheses, remember that a minus sign before parentheses changes th

1. **State the problem:** Simplify the expression $8x - 13x - 3$. 2. **Identify like terms:** The terms $8x$ and $-13x$ are like terms because they both contain the variable $x$.

1. The problem is to find the answer to the user's query "answer" which is ambiguous, so let's interpret it as solving a simple algebraic expression or equation. 2. Since no specif

1. The problem is to solve the equation step by step. Since no specific equation was given, let's consider a general example: solve for $x$ in the equation $2x + 3 = 7$. 2. The for

1. The problem is to solve the equation or expression given previously, but using a different method than before. 2. Since the original problem is not restated here, let's assume i

1. **State the problem:** Divide the polynomial $x^2+4$ by $x-3$ and express the result in the form $$p(x)+\frac{k}{x-3}$$ where $p(x)$ is a polynomial and $k$ is an integer. 2. **

1. We are given two functions: $$f(x) = \frac{3}{4}x + 10$$ and $$g(x) = x^2 - 3$$. We need to find the value of $$f(-2 - g(3))$$. 2. First, calculate $$g(3)$$ by substituting $$x