🧮 algebra

1. The problem is to solve the equation $|3x-1| = -1$. 2. Recall that the absolute value of any real number is always non-negative, meaning $|a| \geq 0$ for any $a$.

1. The problem is to solve the equation $|3x-1|=0$. 2. Recall that the absolute value of a number is zero only if the number itself is zero.

1. Pomnoži: a) Izračunajmo proizvod $(2x + 5)(2 - 3x)$. \begin{align*}

1. The problem is to solve the inequality $|3X+2| < 4$. 2. Recall that $|A| < B$ means $-B < A < B$ for any real numbers $A$ and $B > 0$.

1. Stating the problem: Solve the equation $2X + X = 0$ for $X$. 2. Combine like terms on the left side: $2X + X = 3X$.

1. **State the problem:** We need to prove that if $$y = \frac{\log_a x}{\log_a b}$$ where $a$ and $b$ are constants, then $$y = \frac{\log_{10} x}{\log_{10} b}$$ can be expressed

1. **Problem a:** Solve $2 \log_9(\sqrt{x}) - \log_9(6x - 1) = 0$. Step 1: Use the property $\log_b(a^c) = c \log_b(a)$ to rewrite $2 \log_9(\sqrt{x})$ as $2 \times \frac{1}{2} \lo

1. نبدأ بتبسيط العبارة الأولى (n - 9)(n + 7). 2. نستخدم خاصية التوزيع (توزيع الحد الأول على الثاني):

1. **نبدأ بكتابة المعطى:** $$\left(\frac{24x}{6x^2} \cdot \frac{y^4}{y^2}\right)^{-3}$$

1. **تبسيط العبارة الأولى**: المطلوب تبسيط التعبير $ (n - 9)(n + 7) $.

1. نبدأ بتعريف كثيرة الحدود: كثيرة الحدود هي تعبير جبري يتكون من مجموع حدود تحتوي على متغيرات مرفوعة إلى أسس صحيحة غير سالبة، مع معاملات عددية. 2. نحلل كل عبارة:

1. نبدأ بكتابة العبارة المعطاة: $$(-4a^2 b^4)(2a^3 b^{-2})$$ 2. نستخدم خاصية ضرب العوامل: نضرب الأعداد ونجمع الأسس للمتغيرات المتشابهة.

1. The problem is to simplify the expression $-15 - (-8)$. 2. Recall that subtracting a negative number is the same as adding its positive counterpart. So, $-15 - (-8)$ becomes $-1

1. **تمرين 1** **المعطيات:**

1. State the problem: Evaluate the expression $\frac{5395488948-56649}{86954989} \times 54569 + 5458$. 2. Calculate the numerator of the fraction: $5395488948 - 56649 = 5395432299$

1. The problem is to evaluate the expression $1+1\times1+12\times54\times2454+*456*4+*564*545-456476+4+645454/4654646614$. 2. Notice that the expression contains invalid syntax wit

1. The problem is to simplify the expression $\frac{36}{-3}$.\n\n2. Division of a positive number by a negative number results in a negative number.\n\n3. Calculate the absolute va

1. Problem: Convert the fractions $\frac{3}{4}$, $\frac{9}{50}$, $\frac{7}{100}$, $\frac{29}{20}$ to decimal form. Step 1: Divide numerator by denominator for each fraction.

1. The problem is to multiply two integers: $-24$ and $-8$. 2. Recall that multiplying two negative numbers results in a positive number.

1. The problem asks us to identify which numbers from the list \(4, 6, 8, 11, 12, 15, 16, 25\) are powers of 2. 2. A number is a power of 2 if it can be written as \(2^n\) where \(

1. The problem is to simplify the expression $\frac{1}{i^{199}}$ where $i$ is the imaginary unit with the property $i^2 = -1$. 2. Recall the powers of $i$ cycle every 4 steps: