🧮 algebra

1. Problemstellung: Sie besitzen 5 Franken, davon 3 Franken werden zuerst 46-mal verdreifacht und dann 20-mal vervierfacht. Die restlichen 2 Franken werden 30-mal verfünffacht. Ges

1. The problem is to find how to get the numbers 9, 17, 36, 47, and 64 from 87 million or understand their relation. 2. Since the question is unclear, let's consider if these numbe

1. We start with the first equation: $x - \sqrt{x^2 - 5} = 1$. 2. Isolate the square root term: $\sqrt{x^2 - 5} = x - 1$.

1. **State the problem:** Given the function $$f(x) = \frac{17 - 10x}{2x - 1}$$ for $$x \in \mathbb{R}$$ and $$x \neq \frac{1}{2}$$, we need to:

1. **State the problem:** Simplify the expression $$\frac{(3^4\cdot 5^2-7^3)+(12^2-8^2)}{2^3}+\sqrt{144}-\frac{6!}{5!}$$. 2. **Recall formulas and rules:**

1. The problem is to understand if you can pick any number to replace $x$ in an expression or equation. 2. In algebra, $x$ is a variable that can represent any number within the do

1. The problem is to analyze and graph the given linear equations: - $y = 3x - 4$

1. The problem asks to create tables of values for each equation in question 6 part a. 2. To create a table of values, choose several values for the independent variable (usually $

1. **State the problem:** Solve the system of linear equations: $$y = 4x + 3$$

1. **State the problem:** Perform the operation and combine into one fraction: $$\frac{2}{x-8} - \frac{7}{x}$$ 2. **Formula and rules:** To subtract fractions, find a common denomi

1. **Problem statement:** Determine if the function $f(x) = a \cdot q^x$ with points $A(3|2)$ and $B(8|5)$ represents exponential growth. 2. **Recall the formula:** The general for

1. Énoncé du problème : Résoudre l'équation $$2x+3=-7x-15$$. 2. Formule et règles : Pour résoudre une équation linéaire, on rassemble tous les termes en $x$ d'un côté et les consta

1. Problemet är att bestämma integralen $$\int_{-2}^{6} f(x) \, dx$$ för funktionen $f$ vars graf går genom punkterna $(-2,0)$, $(3,5)$ och $(6,5)$.\n\n2. Grafen består av två linj

1. Il problema chiede di spiegare la parabola definita dalla funzione $y = x^2 + x + 5$. 2. La formula generale di una parabola è $y = ax^2 + bx + c$, dove $a$, $b$ e $c$ sono coef

1. **Problem:** You want to know how to find the coordinates of a plane’s destination, with an example and a drawing. 2. **Key idea:** In coordinate geometry, a point is written as

1. **State the problem:** We want to factor the quadratic expression $x^2 + x + 1$. 2. **Recall the factoring formula:** For a quadratic $ax^2 + bx + c$, the factors are found by s

1. The problem is to solve for $f$ given the equation $f^2 = 84$. 2. The formula used is the square root property: if $x^2 = a$, then $x = \pm\sqrt{a}$.

1. Stating the problem: Solve the equation $$7 f^2 = 84$$ for $f$. 2. Formula and rules: To solve for $f$, isolate $f^2$ by dividing both sides by 7.

1. Problem: Bestimmen Sie die Ableitung von $f(x) = (x^4 - 4) \cdot (x^3 + 1)$ durch Anwendung der Produktregel. 2. Die Produktregel lautet: $$\frac{d}{dx}[u(x) \cdot v(x)] = u'(x)

1. **Problem Statement:** Determine the domain and range of the given piecewise linear function with points and segments connecting (-10, -4) to (-5, -6), (-5, -6) to (0, 5), and (

1. **Problem Statement:** Determine the domain and range of the given function whose graph is a parabola opening upward with a closed endpoint at approximately $(-4,1)$, a vertex a