🧮 algebra

1. **Exercice 1** **a. Résoudre l'inéquation** $(-1 - x)(4x + 4) < 0$

1. **Exercice 1** **a. Résoudre l'inéquation** $(-1 - x)(4x + 4) < 0$

1. **State the problem:** We need to find the equation of a line in slope-intercept form $y=mx+b$ that matches the graphed line. 2. **Recall the slope-intercept form:** The equatio

1. **Problem 8:** A truck rental agency offers two plans: - Plan A: $85$ per week plus $0.30$ per mile driven.

1. **State the problems:** We have three expressions to simplify:

1. Énoncé du problème : On considère la fonction $g$ définie sur $\mathbb{R}$ par

1. The problem is to analyze the function $f: x \to x^2$. 2. This function is a quadratic function, which can be written as $$f(x) = x^2$$.

1. **Stating the problem:** We need to solve the algebraic expression or equation given by the user. Since no specific problem was provided, let's consider a general example: Solve

1. **Stating the problem:** Find the value of $x$ that satisfies the equation $$\frac{2x+3}{5} = 7.$$

1. **State the problem:** Find the Highest Common Factor (HCF) of 36 and 108. 2. **Formula and rules:** The HCF of two numbers is the largest number that divides both without leavi

1. **State the problem:** Find the Highest Common Factor (HCF) of 100, 350, and 400. 2. **Formula and rules:** The HCF of numbers is the greatest number that divides all of them wi

1. **State the problem:** Find the highest common factor (HCF) of 56 and 96. 2. **Formula and rules:** The HCF of two numbers is the largest number that divides both without leavin

1. **Bài 1: Giải các phương trình** a. Giải phương trình $\sqrt{x} - 2 = 1$.

1. **Problem Statement:** Simplify each complex number expression step-by-step. 2. **Recall:** For complex numbers, addition/subtraction is done by combining real parts and imagina

1. **Problem:** Factor the quadratic expression $2x^2 + 17x + 30$. 2. **Formula and rules:** To factor a quadratic $ax^2 + bx + c$, find two numbers that multiply to $a \times c$ a

1. **State the problem:** Find the sum of all integers from 1 to $n$. 2. **Formula used:** The sum of the first $n$ positive integers is given by the formula:

1. **Masala 18 ni yechish:** Berilgan ifodalar murakkab ko'rinishda, lekin ularni ketma-ket hisoblash kerak.

1. **Problem 9:** Find the equation of the line passing through the point $(-2,8)$ with slope $m=-1$. 2. **Problem 10:** Find the equation of the line passing through the point $(3

1. The problem is to simplify the expression $18 \times va21ni$. 2. Since $va21ni$ appears to be a variable or a string of characters, the expression represents the product of 18 a

1. **Muammo bayoni:** Berilgan ifodalarni hisoblang: (3.4 + 5) : 1, (4) 10, 75 - 1,8(3) 1, (2) - 1 (5/20 - 4,25) : 1,(3) 42, 5

1. **State the problem:** Simplify the expression $$\frac{2 + (x + iy) + (x + iy)^2}{(x + iy - 2)(x + iy - 3)(x + iy - 4)(x + iy - 5)}$$ where $x$ and $y$ are real numbers and $i$