🧮 algebra

1. **Problem statement:** Given the ordered numbers $x, (x+1), 5, (2x+1), (y+2), 7, 8,$ and $(3x+2)$, the mean is 6.5 and the median is 7. Find $x$ and $y$. 2. **Mean formula:** Th

1. **State the problem:** Find the function $f(x)$ given by the expression. 2. **Given:**

1. **State the problem:** We are given the linear equation $Y = -1x + 9$ and asked to find the answer, which typically means expressing it in a simplified or standard form or findi

1. **State the problem:** We need to identify the graphs of the functions

1. **State the problem:** Solve the logarithmic equation $$\log_5 (x - 18) - \log_5 x = \log_5 7$$ for $x$. 2. **Recall the logarithm subtraction rule:** For logarithms with the sa

1. **Stating the problem:** Calculate the value of the sum $$\sum_{n=1}^{25} (9n - 8)$$. 2. **Formula and rules:** The sum of a sequence $$\sum_{n=1}^N a_n$$ where $$a_n$$ is an ar

1. **State the problem:** Simplify the expression $Y - b - by - 1$. 2. **Identify like terms:** The terms are $Y$, $-b$, $-by$, and $-1$. Note that $Y$ and $y$ are different variab

1. Masalah: Cari nilai $x$ yang memenuhi persamaan linear $3x + 5 = 20$. 2. Formula yang digunakan adalah persamaan linear asas: $ax + b = c$.

1. **State the problem:** Solve the equation $x + 10 = 6$ for $x$. 2. **Formula and rule:** To isolate $x$, subtract 10 from both sides of the equation. This uses the rule that if

1. **State the problem:** Solve the equation $$\frac{2}{3}w - \frac{2}{3} = 0$$ for $w$. 2. **Write down the equation:** $$\frac{2}{3}w - \frac{2}{3} = 0$$

1. Problemi ifadə edək: Kiçik bir qalstuk dükanı hər qalstuku 3.50-ə satır. Gündəlik xərc funksiyası $C(x) = 0.0006x^3 - 0.03x^2 + 2x + 20$ olaraq verilib, burada $x$ satılan qalst

1. Énonçons le problème : Résoudre la partie A de l'épreuve demandée. 2. Comme le détail de la partie A n'est pas précisé, je vais supposer qu'il s'agit d'un problème algébrique cl

1. **Problem Statement:** Convert the given vertex forms of quadratic equations to their standard forms. 2. **Formula and Rules:**

1. **State the problem:** Solve the equation $$\frac{2}{3}w - \frac{2}{3} = 0$$ for $w$. 2. **Formula and rules:** To solve for $w$, we want to isolate $w$ on one side of the equat

1. **State the problem:** Convert each quadratic equation from vertex form to standard form. 2. **Recall the vertex form:**

1. **Problem 1: Analyze the parabola in the first box** 1. The parabola opens upwards, so its concavity is upward.

1. **State the problem:** Calculate the value of $12 \sqrt{8.64}$.\n\n2. **Recall the formula:** The square root of a number $x$ is a value $y$ such that $y^2 = x$.\n\n3. **Calcula

1. For the first graph: 1. Concavity: The parabola opens upwards, so it is concave up.

1. Diketahui ekspresi \(\left(\frac{125^{-1} m^{-4} n^{-6}}{\frac{1}{5} m n^{4}}\right)^{-1}\) dengan \(m \neq 0\) dan \(n \neq 0\). Kita diminta menyederhanakan bentuk tersebut. 2

1. The problem asks to determine if each given function is quadratic (QF) or not quadratic (NFQ). 2. A quadratic function is a polynomial function of degree 2, which means the high

1. **Problem Statement:** We will analyze the polynomial function $$f(x) = \frac{x^3 - 4x}{x^2 - 1}$$ to find its domain, range, asymptotes, local behavior, and end behavior.