🧮 algebra

1. **State the problem:** Write the expression $$\frac{4x + 1}{2} + \frac{2x - 1}{3}$$ as a single fraction in simplest form. 2. **Find a common denominator:** The denominators are

1. **State the problem:** Write the expression $\frac{4n}{5} - 2 + \frac{3n}{5}$ as a single fraction in simplest form. 2. **Identify the terms:** The expression has two fractions

1. Problemi ifadə edək: Sistemi həll etmək istəyirik: $$\begin{cases} 2x + 4y + 6z = 2 \\ 2x + y - z = 3 \\ x + 2y + 3z = 1 \end{cases}$$

1. Stating the problem: Calculate the product of $\frac{7}{8}$ and $\frac{2}{5}$. 2. Formula: To multiply fractions, multiply the numerators and multiply the denominators:

1. The problem is to provide a clean, easy-to-copy solution for two numbers following their respective formats. 2. Since the user did not specify the numbers or formats, I will dem

1. **State the problem:** Solve for $x$ in the equation $x + x(0.075) = 118606199.99$. 2. **Rewrite the equation:** Combine like terms on the left side.

1. **Problem:** Find the quadratic function passing through (0,4) with vertex at (2,3). 2. **Formula:** Vertex form of quadratic function is $$y = a(x - h)^2 + k$$ where $(h,k)$ is

1. **State the problem:** Solve the system of equations simultaneously: $$x + y = 6$$

1. Diberikan persamaan $2s = 5t - 4u$ dan diminta mencari nilai $t$. 2. Tujuan kita adalah mengisolasi $t$ di satu sisi persamaan.

1. **State the problem:** Simplify the expression $\frac{x^2}{x}$. 2. **Recall the rule:** When dividing powers with the same base, subtract the exponents:

1. نبدأ بتحديد المشكلة: لدينا الدالة $$y=|x+2|$$ وهي دالة القيمة المطلقة. 2. دالة القيمة المطلقة تعني أن الناتج دائماً غير سالب، أي $$|a|=a$$ إذا كان $$a\geq0$$ و$$|a|=-a$$ إذا كان

1. El problema es verificar el desarrollo del cubo del trinomio $ (4a + 2b + c)^3 $. 2. La fórmula para el cubo de un trinomio $ (x + y + z)^3 $ es:

1. Calculer et simplifier: A = \sqrt{9} = 3

1. **State the problem:** Simplify the expression $$\frac{20a^3}{45a}$$. 2. **Recall the formula and rules:** When dividing powers with the same base, subtract the exponents: $$\fr

1. The problem asks to find the product of 30 and \(\sqrt{3}\). 2. The formula for multiplication is simply \(a \times b\), where \(a=30\) and \(b=\sqrt{3}\).

1. **State the problem:** Find the equation of the line passing through the points $(-4,40)$ and $(7,-20)$ in the form $y = mx + c$. 2. **Formula for slope:** The slope $m$ of a li

1. The problem is to simplify the expression $30 \times \sqrt{3}$. 2. Recall that $\sqrt{3}$ is an irrational number approximately equal to 1.732.

1. The problem is to find the integer part (floor) of a given number, which means the greatest integer less than or equal to the number. 2. The floor function is denoted as $\lfloo

1. Simplify $\sqrt{75} + \sqrt{48} + \sqrt{12} - \sqrt{108}$. 2. Use the formula for squares of binomials: $(a - b)^2 = a^2 - 2ab + b^2$ and $(a + b)^2 = a^2 + 2ab + b^2$.

1. **Simplify** $\sqrt{75} + \sqrt{48} + \sqrt{12} - \sqrt{108}$. 2. **State the problem:** Simplify the sum and difference of surds.

1. **Stating the problem:** We need to classify each number in the table according to the categories: Real, Non-real, Rational, Irrational, Prime, Integer, and Number. 2. **Importa