🧮 algebra

1. **Problem Statement:** Suresh's factory production changes over 5 years starting from 2003 with the following pattern:

1. The problem is to write the given equation in the form $$ax + by + c = 0$$. 2. This form is called the standard form of a linear equation in two variables, where $a$, $b$, and $

1. The problem is to write the equation \(-2x + 4y = 7\) in the form \(ax + by + c = 0\). 2. The general form of a linear equation in two variables is \(ax + by + c = 0\), where \(

1. The problem asks for the temperature increase in degrees Fahrenheit equivalent to a 10 degree Celsius increase. 2. The formula relating Fahrenheit ($F$) and Celsius ($C$) is:

1. **State the problem:** Calculate the value of the expression $\frac{2}{5} + \frac{7}{8} \times \frac{17}{19} \div 6 \div 5$ step by step. 2. **Recall the order of operations:**

1. The problem is to understand why the expression is written as $8e^1$. 2. The expression $8e^1$ means $8$ multiplied by $e$ raised to the power of $1$.

1. **State the problem:** Solve the equation $\log_3 \frac{x+25}{x-1} = 3 \log_2 2^2$ for $x$. 2. **Recall logarithm properties:**

1. **Problem statement:** Two points A and B are 1200 km apart. They start moving towards each other at the same time and meet in 24 hours. If A starts 10 hours after B, they meet

1. The problem is to analyze and understand the function $$y = 5 \sin^2\left((x^4 - x + 3)^2\right)$$. 2. The function involves a sine function raised to the power 2, and the argum

1. El problema parece ser encontrar la solución o las coordenadas de un punto, y se menciona que la respuesta es $(-1,7)$. 2. Para verificar o entender esta respuesta, normalmente

1. **State the problem:** We need to find two numbers where their sum is 47, and the smaller number is 23 less than the larger number. 2. **Define variables:** Let the larger numbe

1. **State the problem:** A textbook store sold a total of 480 history and physics textbooks in a week. The number of history textbooks sold was two times the number of physics tex

1. **State the problem:** We are given the polynomial function $$f(x) = -x^2 (x+4)(x+2)$$ and its expanded form $$-x^4 - 6x^3 - 8x^2$$.

1. Let's start by understanding what you want to learn in math. Since you didn't specify a topic, I'll explain a basic algebra concept: solving linear equations. 2. A linear equati

1. You want to practice math, so let's start with a simple algebra problem. 2. Problem: Solve for $x$ in the equation $$2x + 3 = 11$$.

1. **State the problem:** Simplify the expression $\frac{2x + 2}{2}$. 2. **Formula and rules:** When dividing a sum by a number, you can divide each term separately by that number:

1. **State the problem:** Simplify the expression $$\frac{1}{2} + \frac{z}{12}$$. 2. **Formula and rules:** To add fractions, they must have a common denominator. The common denomi

1. **State the problem:** Add the fractions $\frac{1}{2}$ and $\frac{2}{12}$. 2. **Recall the formula:** To add fractions, they must have a common denominator. The formula is

1. The problem is to find the value of $x$ in the equation $$\frac{2x+3}{5} = 7.$$ 2. The formula used here is to isolate $x$ by eliminating the denominator and then solving the re

1. **State the problem:** Solve for the exact value of $x$ in the equation $$3 \ln(6x + 8) - 12 = -18.$$\n\n2. **Isolate the logarithmic term:** Add 12 to both sides to get $$3 \ln

1. **State the problem:** Add the fractions $\frac{1}{4}$ and $\frac{1}{7}$ and simplify the result to lowest terms. 2. **Formula used:** To add fractions, use the formula: