🧮 algebra

1. **State the problem:** The Fabulous Fish Market buys tilapia at 3 per pound and salmon at 5 per pound, with a daily budget of 210.

1. **Muammo bayonoti:** Quyidagi to'rt noma'lumli chiziqli tenglamalar sistemasini yeching: $$\begin{cases} 11x_1 - 10x_2 + 15x_3 + 5x_4 = -4 \\ x_1 + 3x_2 + 6x_3 + 2x_4 = -3 \\ 7x

1. **Problem statement:** Find the coefficient of $x^{3}$ in the product $(2 - 3x)^{5} (1 + x)^{4}$ using the binomial theorem. 2. **Recall the binomial theorem:** For any integer

1. **Stating the problem:** We need to identify and highlight the perfect squares from 1 to 100 in the given table. 2. **Recall the definition:** A perfect square is a number that

1. **State the problem:** Simplify the expression $$\left(\frac{p^2 q^3}{4}\right) \times \left(\frac{8}{2p^2 q}\right) \div pq$$. 2. **Rewrite the expression clearly:**

1. **Problem Statement:** Simplify the expression $\frac{p^{2}q^{3}}{4} \times 8 \div 2p^{2}q$. 2. **Recall the rules:**

1. **Problem statement:** We are given combinations of pounds of tilapia and salmon that a market can order. We want to find five different combinations, define variables and an eq

1. **State the problem:** Solve the equation $$8a - 12 = 2a + 12$$ for the variable $a$. 2. **Write down the equation:** $$8a - 12 = 2a + 12$$

1. **State the problem:** Solve the equation $$3(x - 4) + 2 = 5x - 10$$ for $x$. 2. **Apply the distributive property:** Multiply 3 by each term inside the parentheses.

1. **Stel het probleem:** Vereenvoudig de uitdrukking $$(2x^2 - 3y)(3x^2 - 5y)$$. 2. **Gebruik de distributieve eigenschap (FOIL-methode):**

1. **State the problem:** We are given two functions: $$f(x) = \frac{1}{2}x + 5$$

1) نُعطى: $$a = \frac{4\sqrt{3} - 2\sqrt{5}}{7}, \quad b = \frac{2\sqrt{3} + \sqrt{5}}{9}$$

1. **Stating the problem:** Solve the equation $$x - 37.1 = 0$$ for $x$. 2. **Formula and rule:** To solve for $x$, we isolate $x$ by adding $37.1$ to both sides of the equation.

1. Stating the problem: Solve the equation $$\frac{x + 92}{x + 8} = 0$$. 2. Important rule: A fraction equals zero only when its numerator is zero and its denominator is not zero.

1. **State the problem:** Solve the system of equations: $$9x + 11y = -9$$

1. Planteamos el problema: Simplificar la expresión $5x + 2y - 3x$. 2. Recordemos que para simplificar expresiones algebraicas, debemos combinar términos semejantes. Los términos s

1. The problem states that the value is equal to 2. 2. Since the problem is a simple equality, no further calculation is needed.

1. **State the problem:** Simplify the expression $$\frac{2 - \sqrt{3}}{-\sqrt{3} \cdot 2 + 1}$$. 2. **Rewrite the denominator:** The denominator is $$-\sqrt{3} \cdot 2 + 1 = -2\sq

1. Let's start by understanding what "it" means in math. Usually, "it" could refer to a concept like solving equations, understanding functions, or working with algebraic expressio

1. **State the problem:** Solve the inequality $x^2 - 5x + 6 < 0$. 2. **Identify the type of inequality:** This is a quadratic inequality of the form $ax^2 + bx + c < 0$.

1. **Problem Statement:** On Odd Street, house numbers are consecutive odd numbers. The sum of two neighbor house numbers is 5056. Find the two house numbers. 2. **Understanding th