🧮 algebra

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 $$f(x) = \begin{cases}-2x - 1, & x \leq 2 \\ -x + 4, & x > 2\end{cases}$$

1. The problem states that the thickness of the ice sheet $s$ in meters is modeled by the linear equation $$s=-0.25t+4$$ where $t$ is the time in weeks after the beginning of sprin

1. The problem states that the thickness of the ice sheet $s$ (in meters) depends on the number of weeks $t$ after the beginning of spring, modeled by the equation $$s = -0.25t + 4

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

1. Problème 7: Développer et réduire les expressions A et B. A = (\sqrt{2} + 1)^4.

1. المشكلة هي نشر المعادلة التالية: $$(a+b)^2$$. 2. نستخدم صيغة التربيع لمجموع حدين: $$(a+b)^2 = a^2 + 2ab + b^2$$.

1. **Problem Statement:** 15. A sum of money is divided among Albert, Brian and Chrissy in ratio 3:5:7. Chrissy's share is 3500.

1. **State the problem:** Given the function $f(x)$ defined by the piecewise points from the graph:

1. The problem is to graph the piecewise function: $$f(x) = \begin{cases} 2x - 1 & \text{if } x < 0 \\ -1 & \text{if } x \geq 0 \end{cases}$$

1. **Énoncé du problème :** Effectuer les calculs suivants, rendre le dénominateur rationnel et résoudre une équation :