🧮 algebra

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

1. **Problema 1:** Semplificare l'espressione $$\left(\frac{2x-1}{x+1} - 2\right)^2 : \left[\frac{4}{(x+1)^2} - \frac{2}{x+1}\right] - \frac{1}{x-1}$$

1. The problem asks to identify which graph corresponds to an equation of the form $y=\frac{k}{x}$, where $k$ is an integer. 2. The general form $y=\frac{k}{x}$ represents a recipr

1. **State the problem:** Rewrite the equation $$\frac{3}{a} x - 4 = 20$$ to express $$x$$ in terms of $$a$$.

1. **State the problem:** Solve the equation $$-ax + 6 = -21$$ for $$x$$. 2. **Isolate the term with $$x$$:** To isolate $$x$$, subtract 6 from both sides of the equation using the

1. The problem is to fill in the blanks related to literal equations and their components. 2. Literal equations involve more than one letter or variable, such as $-ax + 6 = -21$.

1. **State the problem:** Solve for $z$ in the equation $$\frac{z}{12} = \frac{4}{5}.$$\n\n2. **Formula and rules:** To solve for $z$, we use the property of equality of fractions:

1. Stated problem: Solve for $k$ in the equation $$\frac{3}{k} = \frac{4}{5}$$. 2. Formula and rule: To solve for $k$, we use cross multiplication which states that if $$\frac{a}{b

1. **Problemstellung:** Überprüfen wir die Richtigkeit der Potenzgesetze und Vereinfachungen in den gegebenen Ausdrücken a) bis h). 2. **Wichtige Regeln:**

1. **State the problem:** Solve the literal equation $$-ax + 6 = -21$$ for the variable $$x$$. 2. **Formula and rules:** To solve for $$x$$, isolate $$x$$ on one side of the equati

1. **Problem statement:** Schreibe die folgenden Ausdrücke als eine Potenz. 2. **Wichtige Regeln:**

1. **State the problem:** We need to find the number of which 35 is 70%. 2. **Formula:** To find a number when a percentage of it is known, use the formula:

1. **State the problem:** We have a table showing the relationship between cups of ice cream and cups of soda. We want to find how much soda Sidney will use for 19 cups of ice crea