🧮 algebra

1. Das Problem lautet: Löse die Gleichung $2x + 3 = 11$.\n\n2. Die allgemeine Formel zum Lösen linearer Gleichungen ist: $ax + b = c \Rightarrow x = \frac{c - b}{a}$.\n\n3. Wende d

1. **Énoncé du problème :** Simplifier la première expression algébrique donnée : $$\frac{2y - 5}{2xy + 2y - 5x - 5}$$

1. The problem asks for the two double inequalities that define the shaded rectangular region on the coordinate plane. 2. The region is bounded by vertical lines at $x = -4$ (dashe

1. The problem asks to write down the two inequalities that define the shaded region on the graph. 2. From the description, the first boundary is a dashed diagonal line passing thr

1. **Restate step 7:** We have the equation from step 6: $$-96a - 1392d = 0$$

1. **State the problem:** We have an arithmetic series where the sum of the first 48 terms is 4 times the sum of the first 36 terms. We need to find the sum of the first 30 terms.

1. Masalah: Diberikan nilai selisih dua variabel berakar, tentukan nilai ekspresi kuadrat tiga variabel menggunakan identitas aljabar. 2. Rumus yang digunakan: Identitas kuadrat ju

1. **State the problem:** Simplify the radical expression $\sqrt{96}$. 2. **Recall the formula and rules:** To simplify a square root, find the prime factorization of the number an

1. **State the problem:** Solve the equation $50 - (2x + 24) = 5x + (-9)$ for $x$. 2. **Rewrite the equation:** Remove parentheses by distributing the minus sign:

1. **State the problem:** Simplify the expression $$6\log_2 \frac{2}{3} + 2\log_2 \frac{1}{6} - 4\log_2 \frac{2}{9}$$. 2. **Recall the logarithm power rule:** $$a \log_b x = \log_b

1. **State the problem:** We have two quadratic equations modeling wellbeing of two groups: $$x^2 + px + q = 0$$

1. **Problem:** Mrs Gibson bought $x$ pencils and distributed them equally among 40 students. How many pencils did each student receive? 2. **Formula:** To find the number of penci

1. Masalah ini berkaitan dengan ketidaksamaan linear: $x < -31$. 2. Ketidaksamaan ini bermaksud nilai $x$ adalah kurang daripada $-31$.

1. **State the problem:** Solve the inequality $-x - \frac{3}{4} > 7$ for $x$. 2. **Write the inequality:**

1. The problem appears to be incomplete or unclear as it shows an expression with a negative sign and an empty fraction: $-x-\frac{ }{ }$. 2. To help you properly, please provide t

1. Masalah yang diberikan adalah menyelesaikan ketaksamaan linear $$\frac{x}{5} - 8 > 3$$. 2. Rumus yang digunakan adalah aturan dasar ketaksamaan: jika kita menambahkan atau mengu

1. Masalah: Permudahkan ungkapan matematik yang diberikan. 2. Langkah pertama adalah mengenal pasti ungkapan yang perlu dipermudahkan.

1. **State the problem:** Simplify the expression $$3m + \frac{2}{2n} - 4 + \frac{m}{2}$$. 2. **Rewrite the expression clearly:** $$3m + \frac{2}{2n} - 4 + \frac{m}{2} = 3m + \frac

1. **Énoncé du problème :** - Résoudre l'inéquation $x^4 \geq x^2$ (exercice rr).

1. **State the problem:** We are given the linear function $f(x) = -\frac{3}{5}x + 2$ and want to understand its properties. 2. **Formula and rules:** This is a linear function of

1. **State the problem:** We need to find the constant of proportionality for a taxi service that charges a constant rate per mile, given the total cost for different miles travele