🧮 algebra

1. Izračunaj izraze u zadatku 21: 1) $ (ab^{2})^{3} \cdot (a^{2}b)^{3} = a^{3}b^{6} \cdot a^{6}b^{3} = a^{3+6} b^{6+3} = a^{9} b^{9}$

1. Problematika: Farmer ima tri različita prosta broja kao brojeve krava, konja i svinja. Označimo broj krava s $k$, broj konja s $h$, i broj svinja s $s$. 2. Prema zadatku, brojev

1. State the problem: A businessman made a profit of $12000$. He saved $\frac{1}{3}$ of this profit, used $\frac{3}{5}$ of the remainder for food, and used the rest to improve his

1. El problema plantea entender cómo se obtienen las bases en expresiones algebraicas, específicamente si siempre se expresan multiplicando la variable por 1. 2. En álgebra, la bas

1. Soat 7:30 da soat va minut millari orasidagi burchakni topish. Soat mili har bir soatda 30° harakat qiladi, minut mili esa har bir daqiqada 6° harakat qiladi.

1. Muammo shunday: berilgan ifodani tenglama shaklida yozish. 2. Iltimos, aniqlik uchun ifodani yoki masalani to'liq taqdim eting.

1. **State the problem**: We are given two simultaneous equations: $$4x^2 - y^2 = 15$$

1. Dastlab, muammoni aniqlaymiz: "Tenglama qilib ber" bu yerda berilgan ifodani tenglama shaklida yozish yoki yechish talab qilinadi. 2. Iltimos, aniq ifoda yoki misol keltiring, s

1. Kita diberikan pertidaksamaan $3x - 7y < 21$. 2. Tujuan kita adalah mencari daerah penyelesaian dari pertidaksamaan ini.

1. Soat va minut mili orasidagi burchakni topamiz. Soatda har bir soniya uchun soat mili 30° harakat qiladi ($360°/12=30°$).

1. Mari kita tentukan daerah penyelesaian dari sistem pertidaksamaan linear: $$\begin{cases} x + y < 5 \\ 2x + 3y > 12 \\ x = 0 \\ y = 0 \end{cases}$$

1. We are given the equation $12 + \frac{24}{4} - ? = 4$ and need to find the value of $?$. 2. First, simplify the term $\frac{24}{4}$ which equals $6$.

1. Diberikan sistem pertidaksamaan linear. 2. Untuk menentukan daerah penyelesaian, kita harus mencari himpunan titik $(x,y)$ yang memenuhi semua pertidaksamaan secara simultan.

1. **Problem 5:** At what time between 4 and 5 o'clock will the hands of the clock be perpendicular (i.e., angle $\theta=90^{\circ}$)? Provide both possible times. 2. Recall the fo

1. The problem asks us to simplify the fraction $\frac{3}{5}$. 2. The fraction $\frac{3}{5}$ is already in its simplest form because 3 and 5 have no common factors other than 1.

1. **State the problem:** Solve the simultaneous equations: $$3x + y = 25$$

1. We are given the system of equations: $$3x^2 - xy = 0$$

1. Let's create a math question about solving a quadratic equation.\n\n2. Problem: Solve the quadratic equation $$x^2 - 5x + 6 = 0$$.\n\n3. Step 1: Identify coefficients in the qua

1. Let's start by understanding what the domain of a function means. 2. The domain is the set of all possible input values (usually $x$) for which the function is defined.

1. Stating the problem: Solve the simultaneous equations \(3x^2 - xy = 0\) and \(2y - 5x = 1\). 2. From the second equation, express \(y\) in terms of \(x\):

1. State the problem: Solve the simultaneous equations $3x^2 - xy = 0$ and $2y - 5x = 1$. 2. Isolate $y$ from the linear equation.