🧮 algebra

1. Das Problem lautet: Löse die Gleichung $2x + 3 = 11$. 2. Die Formel, die wir verwenden, ist die Gleichungsumformung: Um $x$ zu isolieren, subtrahieren wir zuerst 3 von beiden Se

1. **State the problem:** Graph the linear equation $y = -\frac{2}{3}x - 16$. 2. **Formula and rules:** A linear equation in slope-intercept form is $y = mx + b$, where $m$ is the

1. **Problemstellung:** Wir sollen die fehlenden Werte in der Tabelle für Verbrauch (m³) und Gesamtkosten (€) berechnen (Aufgabe 7c) und die Aufgaben 8a, 8b, 8c lösen.

1. **State the problem:** We need to find the value of $t$, a positive real number, given the equation: $$\log_3 t + \log_9 t + \log_{27} t + \log_{81} t = 10$$

1. **State the problem:** Solve the equation $$\frac{x}{3} + 4 = \frac{5}{2}$$ for $x$. 2. **Isolate the variable term:** Subtract 4 from both sides to get $$\frac{x}{3} = \frac{5}

1. The problem is incomplete as it only shows a fraction with numerator $x$ and no denominator. 2. To solve or simplify a fraction, both numerator and denominator must be specified

1. **Probleemstelling:** Marie fietst 2 kilometer naar school met wielen van 50 cm diameter. We willen weten hoeveel keer het wiel ronddraait. 2. **Formule:** Om het aantal omwente

1. **Problem statement:** a) Find the exponential function $k$ with initial value 4 and doubling time 10 years.

1. **Stating the problem:** We have a mapping of percentages to a new scale: - 85.5% maps to 0%

1. Il problema chiede di risolvere l'inequazione quadratica $$x^2 - 3x + 1 \geq 0$$. 2. La formula generale per risolvere un'inequazione quadratica $$ax^2 + bx + c \geq 0$$ è trova

1. Problema: Risolvi le equazioni di secondo grado frazionarie da 263 a 270. 2. Formula e regole: Per risolvere equazioni frazionarie, si trova il minimo comune denominatore (MCD)

1. **State the problem:** Solve the equation $$\frac{1}{x^2 - x} + \frac{1}{x} = 1.$$\n\n2. **Rewrite the equation and identify the domain:** Note that $$x^2 - x = x(x-1),$$ so the

1. **Problem statement:** Given four functions A, B, C, and D with their graphs described, answer the following:

1. **State the problem:** Determine the domain of the function $$f(z) = \frac{z}{z-4}$$. 2. **Recall the domain rule for rational functions:** The domain includes all real numbers

1. The problem is to graph the function $$y=\frac{1}{3}x + 1$$ and find its domain and range. 2. The formula given is a linear function in slope-intercept form $$y=mx+b$$ where $$m

1. **Problem:** explain the fraction $\frac{2}{4}$ using a pie-style picture. 2. A fraction means **part of a whole**.

1. **State the problem:** Solve the equation $\sqrt{2x + 6} + 4 = x + 3$ for $x$. 2. **Isolate the square root:** Subtract 4 from both sides:

1. 题目：计算分数 $\frac{3}{4} + \frac{2}{5}$ 的值。 2. 公式和规则：

1. **State the problem:** Dakola purchased tickets costing 35.50 each plus a 7 handling charge, spending less than 150 in total. We need to find the greatest number of tickets she

1. **State the problem:** Caitlan has 50 to spend on canoeing. She must pay an 18 deposit plus 10.5 per hour. We want to find the greatest number of hours $x$ she can rent the cano

1. **Problem Statement:** Convert each improper fraction into a mixed number. 2. **Formula and Explanation:** An improper fraction has a numerator larger than the denominator. To c