🧮 algebra

1. **Problemstellung:** Wir wollen die Grundform einer linearen Funktion aufstellen und die Parameter $m$ (Steigung) und $b$ (y-Achsenabschnitt) bestimmen. 2. **Formel:** Die Grund

1. **Find the 15th term of the arithmetic sequence: 3, 7, 11, ...** The formula for the $n$th term of an arithmetic sequence is:

1. **State the problem:** Solve the equation $$\frac{x^2 + 25 + 10x}{x^2 + 2x - 15} \left( \frac{x}{x+5} - \frac{x}{x+2} : \frac{x+1}{x+2} \right) = 0$$

1. The problem asks us to compare the intercepts of two functions: \(a(x) = -x^3 + 8\) and function \(b\) represented by the given graph. 2. First, find the intercepts of function

1. **Stating the problem:** Solve exercice 2, question 3, part a. Since the exact problem statement is not provided, please provide the full problem text for precise assistance. 2.

1. The problem asks to identify the inequality that represents the domain of the exponential piece of the function $f$, which is composed of an exponential piece and a polynomial p

1. **State the problem:** We need to identify which piecewise function matches the given graph. 2. **Analyze each piece of the graph:**

1. The problem is to reduce the given algebraic expression to its simplest form. 2. To reduce an expression, we combine like terms and simplify any fractions or factors.

1. **State the problem:** Simplify the expression given by the top-left, top-right, and bottom-right parts: Top-left: $7 - \frac{24 - 4n}{2}$

1. The problem asks for the range of an exponential function whose graph approaches the horizontal asymptote $y=3$ on the left and passes through points $(-1, 3.25)$, $(0, 3.5)$, a

1. The problem asks to identify which graph corresponds to the function $$y=3\left(\frac{1}{2}\right)^x$$. 2. The function is an exponential decay because the base $$\frac{1}{2}$$

1. The problem asks us to determine which ordered pairs lie on the graph of the exponential function $$f(x) = 3 \left(\frac{1}{4}\right)^x$$. 2. To check if a point $ (a, b) $ lies

1. The problem states that the population of a town is modeled by the exponential function $$p(t) = 31,790 \times (0.95)^t$$ where $t$ is the number of years since 2010. 2. The ini

1. The problem asks us to analyze the exponential function $f(x)$ modeling the population of Center City over time, where $x$ is the number of years after 2015. 2. From the graph,

1. **Énoncé du problème :** Calculer chaque expression sous la forme $a \times 10^n$, puis donner le résultat en écriture décimale pour les exercices 70.a à 70.f. 2. **Rappel de la

1. El problema es simplificar la expresión $$1375 - 60 \times \frac{-Y + \frac{1000}{P}}{100}$$. 2. La fórmula usada es la simplificación de expresiones algebraicas con multiplicac

1. **State the problem:** Simplify the expression $$\frac{\sqrt{18} \cdot \sqrt{12}}{\sqrt{24}}$$. 2. **Recall the property of square roots:** $$\sqrt{a} \cdot \sqrt{b} = \sqrt{a \

1. **State the problem:** Solve the inequality $$\log_{\frac{1}{3}}(x^2 - 1) \leq \log_{\frac{1}{3}}(2x + 7)$$ for $x$. 2. **Recall the properties of logarithms:**

1. **State the problem:** Find the square root of 200. 2. **Formula and rules:** The square root of a number $x$ is a value $y$ such that $$y^2 = x.$$ We can simplify square roots

1. **State the problem:** Find the square root of 175. 2. **Formula and rules:** The square root of a number $x$ is a value $y$ such that $$y^2 = x.$$ We can simplify square roots

1. Il problema chiede di mettere a denominatore un polinomio di secondo grado che non sia un quadrato di binomio. 2. Un polinomio di secondo grado generale ha la forma $$ax^2 + bx