🧮 algebra

1. The logarithm is the inverse operation of exponentiation. 2. It answers the question: To what power must the base $b$ be raised, to produce the number $x$?

1. Masalani bayon qilamiz: Funksiyani grafigini chizish va o’sish, kamayish oralig’ini aniqlash. 2. Funksiya: $y=2x+3$

1. Let's clarify the problem statement first: it appears you are asking why the value of \( d \) is \( \frac{3}{4} \).\n\n2. Typically, \( d = \frac{3}{4} \) arises from solving an

1. The problem asks for the 5th term of a harmonic sequence given the 2nd term is $\frac{1}{2}$ and the 6th term is $\frac{1}{5}$. 2. A harmonic sequence is a sequence whose terms

1. We are given a harmonic sequence where the 2nd term is $\frac{1}{2}$ and the 6th term is $\frac{1}{5}$. We need to find the 5th term. 2. Recall that a harmonic sequence is a seq

1. The problem states that the shopkeeper makes a profit of 30% on the cost price by selling a book and the profit amount is Rs. 240. We need to find the cost price of the book. 2.

1. Simplify each expression: i. $(x^5)^1 = x^5$ because any power raised to 1 remains the same.

1. **State the problem:** Solve the equation $$\frac{75 - 15y}{4} + 4y = 19$$ for $y$. 2. **Rewrite the equation:** The equation is already written as $$\frac{75 - 15y}{4} + 4y = 1

1. El problema es factorizar el trinomio $x^2+5x+6$ usando el método de tanteo. 2. Para factorizar por tanteo, buscamos dos números que multiplicados den el término independiente $

1. Plantear el problema: Factorizar completamente el polinomio $$6x^3 - 13x^2 - 5x$$. 2. Extraer factor común: Observamos que todos los términos tienen un factor común $$x$$.

1. a) The rank of a matrix is the maximum number of linearly independent rows or columns in the matrix. b) Given matrix

1. El problema es factorizar el trinomio cuadrático $x^2 + 5x + 6$ por tanteo. 2. Para factorizar por tanteo, buscamos dos números cuyo producto sea el término independiente (6) y

1. The problem asks to evaluate the expression $$3 + س + ٢ص + ٣س + ٢ع$$ given the values $$س=2$$ and $$ص=-1$$. 2. First, substitute the values of $$س$$ and $$ص$$ into the expressio

1. **Stating the problem:** Solve for $x$ in each equation using transposing formulae. 2. **Part (a):** Solve $x - 4 = 9$.

1. The expression given is $b 2\sqrt{10}$. Since it is not a complete equation or function, let's interpret this as the product of $b$, 2, and the square root of 10. 2. We can writ

1. **Problem statement:** Simplify the expression $$\frac{3}{\sqrt{3}+\sqrt{2}}$$. 2. **Rationalize the denominator:** Multiply numerator and denominator by the conjugate of the de

1. Misalkan kita mempunyai persamaan yang melibatkan variabel $x$ dan $y$, namun pengguna tidak menjelaskan bentuk persamaannya. 2. Untuk mengerjakan soal dengan variabel $x$ dan $

1. Calculer les limites : - $\lim_{x \to 3^-} (x-3)$. Comme $x$ tend vers 3 par la gauche, $x-3$ tend vers $0$ par valeurs négatives donc:

1. **State the problem:** Simplify the expression $5.3 \times 10^5 + 50 \times 10^3$. 2. **Rewrite powers of ten explicitly:**

1. Stating the problem: Calculate the value of $$T = \frac{2.898 \times 10^{-3}}{600 \times 10^{-9}}$$ 2. Simplify the denominator: $$600 \times 10^{-9} = 6 \times 10^{2} \times 10

1. **State the problem:** We need to find the 5th term of a harmonic sequence given that the 2nd term is $\frac{1}{2}$ and the 6th term is $\frac{1}{6}$. 2. **Recall the definition