🧮 algebra

1. **State the problem:** Calculate the value of the expression $$ (317.200 - (4.200.000 \times 0,032)) \times 1,72 $$. 2. **Understand the expression:** The expression involves mu

1. Stating the problem: Solve the equation $$2X - \frac{2}{3} = 5X + 3$$. 2. Write down the equation:

1. The problem asks to identify which inequality is represented on a number line. 2. The number line shows a filled circle at 3 and an arrow extending to the left toward negative i

1. **Problem 1: Find the output $q$ that gives the highest revenue and compute the maximum revenue for** $$R(q) = -q^3 + 12q^2 - 36q + 200$$

1. **Stating the problem:** Ayah initially has 3 chickens that consume all the feed in 50 minutes. After adding 7 more chickens, making a total of 10 chickens, we need to find how

1. مسئله: تابع $f = \{(7, a + 3), (-1, 4), (4, b^2 - 4b)\}$ یک تابع ثابت است. باید $a$ و $b$ را بیابیم. 2. تعریف تابع ثابت: تابعی است که مقدار خروجی برای هر ورودی برابر است. یعنی:

1. **Problem:** Find the cube root of $1 \frac{127}{216}$. 2. **Step 1:** Convert the mixed fraction to an improper fraction:

1. Simplify $9 - 2bc - 3$. Combine like terms: $9 - 3 = 6$, so the expression becomes $6 - 2bc$.

1. **Problem:** Calculate $-1.3 + 1.3$. 2. **Formula:** Addition of real numbers.

1. The problem is to match each inequality with the correct graph description. 2. Let's analyze each inequality and graph:

1. The problem is to match each inequality with the correct graph description. 2. Let's analyze each inequality and its graph:

1. **State the problem:** Solve the equation $$18 \cdot |x - 1| = \frac{x^2}{4}$$. 2. **Rewrite the equation:** Multiply both sides by 4 to clear the denominator:

1. Solve the equation $|x - 1| - 3 = 0$. - Start by isolating the absolute value: $|x - 1| = 3$.

1. **Stating the problem:** Solve the system of equations: $$3 \cdot \left(\frac{2}{7}\right)^{2x - y} + 7 \cdot \left(\frac{2}{3}\right)^{2x - y} - 6 = 0$$

1. The problem involves understanding the relationship between budget increase percentages and average team performance scores relative to targets. 2. Given the performance target

1. **State the problem:** Solve the equation $$\frac{2x - 2}{7} = -6$$. 2. **Formula and rules:** To solve for $x$, first eliminate the denominator by multiplying both sides by 7.

1. **State the problem:** Solve the quadratic equation $$x^2 - 6x = -9$$. 2. **Rewrite the equation:** Move all terms to one side to set the equation to zero:

1. **State the problem:** Factorise fully the expression $6 + 36x$. 2. **Identify common factors:** Look for the greatest common factor (GCF) of the terms $6$ and $36x$.

1. **State the problem:** Solve the quadratic equation $$3x^2 + 5x - 2 = 0$$ to find the roots (values of $x$). 2. **Formula used:** For a quadratic equation $$ax^2 + bx + c = 0$$,

1. Uzdevums: Atrast pareizo kāpinātāju $x$ vienādojumam $$2^x = 8$$. 2. Izmantojam kāpināšanas likumu: ja $a^x = a^y$, tad $x = y$, ja $a > 0$ un $a \neq 1$.

1. **Problem:** Find the domain and range of the rational function $g(x) = \frac{2}{x - 5}$. 2. **Domain:** The domain is all real numbers except where the denominator is zero.