🧮 algebra

1. **State the problem:** Solve the linear equation $2x + 1 = 7x - 3$ for $x$. 2. **Write down the equation:**

1. The problem is to solve an algebraic expression or equation suitable for grade 9 CBSE level. Since no specific equation is given, let's consider a common example: Solve for $x$

1. The problem is to understand the applications of quadratic equations and inequalities. 2. Quadratic equations are equations of the form $ax^2 + bx + c = 0$ where $a \neq 0$.

1. The problem is not clearly stated, but since you mentioned "for senior 4," I assume you want a general algebra problem suitable for senior 4 level. 2. Let's solve a common algeb

1. The problem is to find the roots of the quadratic equation $ax^2 + bx + c = 0$ where $a \neq 0$. 2. The formula used is the quadratic formula: $$x = \frac{-b \pm \sqrt{b^2 - 4ac

1. **Problem Statement:** Determine if the polynomial $12x^3 + 6x^2 - 1$ is factorable. 2. **Formula and Rules:** To factor a polynomial, first look for a greatest common factor (G

1. **Énoncé du problème :** Calculer la valeur de $$\frac{0,02 \times 10^{-3} + 0,8 \times 10^{-4}}{0,05 \times 0,2 \times 10^{-3}}$$

1. **Énoncé du problème :** Calculer la valeur de l'expression $$\frac{0,02 \times 10^{-3} + 0,8 \times 10^{-4}}{0,05 \times 0,2 \times 10^{-3}}$$

1. Let's clarify the problem: You mentioned an expression involving $e$ and $\sin$, and you want to know if it is a simple term. 2. The presence of $e$ (the base of natural logarit

1. The problem asks for the sum of integers from 1 to 15. 2. We use the formula for the sum of the first $n$ natural numbers: $$S = \frac{n(n+1)}{2}$$ where $n=15$.

1. **Problem Statement:** We have 400 students in 2015 with 180 females. The region-wise breakup of students is given by angles: North = 126°, South = 144°, East and West = 90°. 2.

1. **Problem Statement:** We have 400 students in Loyola College in 2015, with 180 females. We know 20 girls weigh less than 31 kg. We want to find the percentage of boys weighing

1. Masalah yang diberikan adalah mencari nilai $x$ yang memenuhi pertidaksamaan $$2x + 4 \le 7$$. 2. Gunakan aturan pertidaksamaan linear: kita dapat mengisolasi $x$ dengan mengura

1. Let's start by understanding what nested surds are. A nested surd is a surd (an expression containing a square root) inside another surd, for example, $\sqrt{3 + \sqrt{5}}$. 2.

1. The problem is to understand and work with percentages: a) 25%, b) 60%, c) 50%, d) 25%. 2. A percentage represents a part out of 100. For example, 25% means 25 out of 100 or $\f

1. **Problem (a): Solve the recurrence relation** $$S(n) - 5S(n-1) + 6S(n-2) = 5n$$

1. Masalah: Diberikan lima bilangan ganjil berurutan yang jumlahnya 65. Bilangan kedua dalam urutan tersebut adalah $x$. Kita diminta mencari jumlah semua bilangan ganjil dalam uru

1. Masalah: Lima bilangan ganjil berurutan berjumlah 65. Jika bilangan kedua dalam urutan naik adalah $x$, cari jumlah semua bilangan ganjil dalam urutan tersebut. 2. Misalkan bila

1. Muammo: 3 ta misolni yeching. 2. Birinchi misolni tanlaymiz va yechamiz (masalan, $2x+3=7$).

1. Muammo: Agar $a > 0$ bo'lsa, quyidagi tengsizlikni isbotlang: $$\frac{a+9}{2} + \frac{a+16}{2} > 7\sqrt{a}$$

1. The problem asks to prove the inequality $$\frac{a+9}{2} + \frac{a+16}{2} > 7\sqrt{a}$$ for $a > 0$. 2. First, combine the fractions on the left side: