🧮 algebra

1. نبدأ بتحديد مجال الدالة $f(x) = \log_3(x - 2)$.\n\n2. الدالة اللوغاريتمية معرفة فقط عندما يكون التعبير داخل اللوغاريتم موجبًا، أي:\n$$x - 2 > 0$$\n\n3. بحل المتباينة نحصل على:\n

1. **State the problem:** Simplify the expression $x + \frac{4}{5} - \frac{x}{7}$.\n\n2. **Rewrite the expression:** $x + \frac{4}{5} - \frac{x}{7}$.\n\n3. **Combine like terms:**

1. The problem asks to identify which function represents an exponential decay model. 2. Exponential decay functions have the form $$f(x) = a^{x}$$ where the base $$a$$ satisfies $

1. **Problem (a): Simplify the expression** $$\frac{a^3}{a^9} \cdot \frac{x^3 y^2}{x y^4}$$ 2. **Simplify the powers of $a$:**

1. **State the problem:** We analyze Encik Aidil's journey from Taiping to Penaga, covering 90 km with a rest stop at Alor Pongsu after 45 km.

1. **State the problem:** Solve the quadratic equation $$x^2 + 4x = 0$$. 2. **Factor the equation:** Factor out the common term $x$:

1. The user states "There's no 8 in the equation," but no specific equation is provided. 2. To assist effectively, please provide the exact equation or problem you want help with.

1. **State the problem:** Solve the quadratic equation $$8x^2 + 4x = 0$$. 2. **Factor the equation:** Factor out the common term $$4x$$:

1. The problem states that the total amount is $1600 + 800 + 470$. 2. Calculate the total sum: $$1600 + 800 + 470 = 2870$$.

1. The problem is to evaluate the expression $$\frac{12}{14706} \times 1000$$. 2. First, calculate the fraction $$\frac{12}{14706}$$.

1. Let's first understand when the quadratic formula is necessary. 2. The quadratic formula is used to solve quadratic equations of the form $ax^2 + bx + c = 0$.

1. Masala 28: 12/7, 15/13, 10/11 sonlariga bo'linadigan eng kichik natural sonni topish. Bu son har uchala sonning kasr qismi bo'linadigan son bo'lishi kerak. Ya'ni, $\frac{12}{7}n

1. The problem is to verify the expression $\left(\frac{9}{2}\right)^2 = 81$. 2. Start by squaring the fraction $\frac{9}{2}$: $$\left(\frac{9}{2}\right)^2 = \frac{9^2}{2^2} = \fra

1. The problem appears to be evaluating the expression $$9 \div 2 \times (-1) = ?$$ 2. First, perform the division: $$9 \div 2 = \frac{9}{2} = 4.5$$

1. The problem appears to be solving the equation $9 \times 2(-) = -2$. However, the expression is incomplete or unclear. 2. Assuming the problem is $9 \times 2(-x) = -2$, we rewri

1. Énonçons le problème : Nous avons trois salariés Abel, Bernard, et Camille avec des données associées (8, 2, 1), (2, 6, 5) et leurs salaires respectifs 120000, 98000, 140000. 2.

1. The problem asks us to select the interval where the function $h(x)$ is less than zero, i.e., where the graph is below the x-axis. 2. From the graph description, $h(x)$ dips bel

1. Solve for $x$: 1.a) Given $\log_3 x = 4$, rewrite in exponential form: $x = 3^4 = 81$.

1. The problem asks to identify the equation of a parabola that opens upwards, is symmetric about the y-axis, and has its vertex at the origin (0,0). 2. Let's analyze each option:

1. **State the problem:** Solve the equation $3x - 4 = 0$ for $x$. 2. **Isolate the variable term:** Add 4 to both sides to get:

1. **State the problem:** Simplify the expression $x^2 + 2x + 2xy + 4y$. 2. **Group like terms:** Group terms with common factors: $x^2 + 2x + 2xy + 4y = x^2 + 2x + 2xy + 4y$.