🧮 algebra

1. The problem is to solve the equation $2x + 3 = 11$ for $x$. 2. We use the basic algebraic principle that to isolate $x$, we perform inverse operations to both sides of the equat

1. **State the problem:** We need to find and shade the region that satisfies the system of inequalities: $$y \geq x + 3$$

1. نبدأ بكتابة المعادلة المعطاة: $$8 = 3x - 6 - 3 = 1$$

1. **Problem:** Belege in dem Term a mit der Zahl -3 und b mit der Zahl \frac{1}{2} und berechne das Ergebnis für a) 2ab + a^2. 2. **Formel:** Setze die Werte in den Term ein: $$2a

1. **Show that the set of rational numbers $\mathbb{Q}$ is a Field.** A field is a set equipped with two operations (addition and multiplication) satisfying certain axioms: closure

1. **Stating the problem:** We have a piecewise function defined as: $$f(x) = \begin{cases} \sqrt[3]{x^2(x-1)} & x \geq 0 \\ \frac{x+3}{x^2 + 2x - 3} + 2 & x < 0 \\ a^2 x^2 - 10x -

1. The problem is to solve the equation $1h$ for $h$. 2. Since $1h$ means $1 \times h$, the equation simplifies to $h$.

1. **Problem statement:** Simplify the expression \((x^3+x^2y+xy^2+y^3)(x+y)-2x^3y-3x^2y^2-2xy^3\) and then calculate its value at \(x=-1\) and \(y=-1\).

1. Planteamos el problema 4: Dada la ecuación $$a^2 + 1 = 6x$$, debemos encontrar el valor de $$x^2 + \frac{1}{x^2}$$. 2. Observamos que la ecuación involucra $$a^2$$ y $$x$$, pero

1. Problem: Simplify the expression $18x^6$ divided by $3x^2$. 2. Use the quotient rule for exponents: $\frac{a^m}{a^n}=a^{m-n}$, and divide the coefficients first.

1. **State the problem:** simplify $18x^6$. 2. **Use the rule for a monomial:** a coefficient times a power of a variable is already simplified unless there is something to combine

1. The problem is to understand what a function is and how it works. 2. A function is a relation between a set of inputs and a set of possible outputs where each input is related t

1) Soit la fonction linéaire $f$ définie par $f(x) = 2x$. 1.a) Calculer $f(3)$.

1. The problem is to solve the proportion $\frac{236}{100} = \frac{0.9316}{x}$ for $x$. 2. The formula for solving proportions $\frac{a}{b} = \frac{c}{d}$ is to cross-multiply: $a

1. The problem is to simplify the expression $$\sqrt[\sqrt[\sqrt[\frac{\binom{|x|\sum_{i=1}^n i^2 \cos x |x| \lceil x \rceil \int\int\int\int\int}{ } }{ }]{}]{}]{}$$. 2. First, obs

1. **State the problem:** Simplify the expression \( \frac{12p^2 - 93}{8p^2 - 29p + 40} \). 2. **Factor numerator and denominator:**

1. **State the problem:** Given the equation $$2x = \frac{2y^2 - 3z}{2}$$, express $$y$$ in terms of $$x$$ and $$z$$. 2. **Write down the formula and rules:** We want to isolate $$

1. **State the problem:** Solve the system of linear equations: $$-3x - 2y = -18$$

1. **Problem Statement:** (a) Complete the table for $y = x^3 - 4x^2 + 12$ at given $x$ values.

1. **Problem Statement:** (a) Complete the table for the function $$y = x^3 - 4x^2 + 12$$ at given values of $$x$$.

1. **Problema:** Risolvere la disequazione fratta $$\frac{-x^2 + x - 1}{x + 7} \geq 0$$. 2. **Formula e regole:** Per risolvere disequazioni fratte, analizziamo segno di numeratore