🧮 algebra

1. **State the problem:** Simplify the expression $6 \times 21 - 12 - 7 + 24 \div 3 + 33 + 12$. 2. **Recall the order of operations:** Use PEMDAS (Parentheses, Exponents, Multiplic

1. The problem is to simplify or understand the expression $\frac{2v}{\phi \cdot h}$.\n\n2. This expression represents a fraction where the numerator is $2v$ and the denominator is

1. Hitung hasil dari operasi berikut hingga 3 angka signifikan. **a.)** Hitung $$\sqrt{\frac{2V}{\Pi h} - \frac{h^2}{3}}$$ dengan $V=85,67$ dan $h=5,44$.

1. **State the problem:** Simplify the function $$y(x) = \frac{12x^6 - 4x^4 + 3x^2 - 1}{8x^4}$$ and understand its behavior. 2. **Formula and rules:** When dividing a polynomial by

1. **State the problem:** We have the quadratic equation $y = ax^2 + bx + c$ and the conditions $-\frac{b}{2a} = 2$, $4a - 8a + c = -3$, and we need to find $\frac{ac}{b}$. 2. **Us

1. **Stating the problem:** We have a quadratic function $y = ax^2 + bx + c$ with conditions $x(0) = 2$ and $y(0) = -3$. We want to find the value of $\frac{a \cdot c}{b}$. 2. **In

1. **Problem:** Calculate the value of $$a = 2\log_5 12 - \log_2 8 - 2\log_5 3$$. 2. **Recall logarithm properties:**

1. Задачата е да намерим ъгловите коефициенти на ъглополовящите на ъглите между правите с уравнения: $$3x - y - 1 = 0$$ и $$x - 3y + 3 = 0$$. 2. Първо намираме ъгловите коефициенти

1. **State the problem:** We need to sketch the graph of the function $$f(x) = \frac{x-1}{x+1}$$. 2. **Identify important features:**

1. **State the problem:** Solve the equation $$3x(x + 1) - 7x(x + 2) = 6$$. 2. **Expand each term:**

1. **State the problem:** Simplify the expression $$\frac{x^2 - 4}{x - 2}$$. 2. **Recall the formula and rules:** The numerator is a difference of squares, which factors as $$a^2 -

1. The problem is to simplify the fraction $\frac{16}{4}$.\n\n2. The formula for simplifying a fraction is to divide the numerator and denominator by their greatest common divisor

1. The problem is to simplify the fraction $\frac{16}{4}$.\n\n2. The formula for simplifying a fraction is to divide the numerator and denominator by their greatest common divisor

1. The problem is to simplify the fraction $\frac{16}{4}$.\n\n2. The formula for simplifying a fraction is to divide the numerator and denominator by their greatest common divisor

1. **State the problem:** Simplify the expression $$\frac{1}{1+x+y-1} + \frac{1}{1+y+z-1} + \frac{1}{1+z+x-1}$$ given that $$xyz=1$$. 2. **Simplify each denominator:**

1. **Stating the problem:** Simplify the expression involving a mixture of all types of brackets and the Venquliam notation (assuming it means a complex nested expression with vari

1. **State the problem:** We have two real numbers $x$ and $y$ with $x \neq 0$ satisfying the equation: $$\frac{y}{x} = y^2 - 2y$$

1. **State the problem:** Simplify the expression $(7x^2 - 3y) - (3x^2 + 5y)$. 2. **Apply the distributive property:** Remove the parentheses by distributing the minus sign to the

1. **State the problem:** Solve the equation $$\frac{\sqrt{9x + 27}}{2x + 10} + \frac{\sqrt{9x + 27}}{x + 5} = 1.$$\n\n2. **Simplify the expression inside the square root:** Notice

1. The problem asks to draw and label three lines on a grid and then shade the region satisfying three inequalities. 2. The lines are:

1. The problem asks for the domain of definition of the function $\arcsin(3 - 4x)$.\n\n2. Recall that the domain of $\arcsin(y)$ is $-1 \leq y \leq 1$. This means the expression in