🧮 algebra

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.

1. **Stating the problem:** Solve the simultaneous equations $$3x^3x^2 - xy = 0$$

1. State the problem: Solve the system of equations below. $$3x^5 - x y = 0$$

1. Problem 57: Given the function $y = x^2 - 1$, we stretch it vertically by a factor of 3. 2. Vertical stretching means multiplying the entire function by 3:

1. Problem: Solve the simultaneous equations $3x^2-xy=0$ and $2y-5x=1$. 2. Factor the first equation to find relations between $x$ and $y$.

1. Problem: Sketch the graph of the piecewise function $$f(x) = \begin{cases}-2x - 1, & x \leq 2 \\ -x + 4, & x > 2\end{cases}$$