🧮 algebra

1. **State the problem:** Solve the inequality $$\frac{3x - 2}{4} \leq \frac{4x + 1}{3}$$. 2. **Write the inequality:** $$\frac{3x - 2}{4} \leq \frac{4x + 1}{3}$$.

1. Calculer $A = 9(c + 3)$ pour $c = 11$. 2. Calculer $B = 14y + 9$ pour $y = 2$.

1. **Problemstellung:** Wir sollen für jede der vier Figuren den Term für den Flächeninhalt der gefärbten Fläche angeben. 2. **Wichtige Formel:** Der Flächeninhalt eines Quadrats m

1. The problem asks to identify the domain and range of the function $f(x)$ from the given graph points. 2. The domain of a function is the set of all possible input values ($x$-va

1. The problem asks to find the domain and range of the function $f(x)$ based on the given graph with points at approximately $(-10, 2)$, $(-4, -5)$, $(-1, -9)$, $(6, -2)$, and $(9

1. The problem states that $C(g)$ represents the cost to produce $g$ gallons of chocolate chunk ice cream. 2. The statement $C(727) = 152$ means that when $g = 727$, the cost $C(g)

1. The problem states that $D(t)$ represents the total average credit card debt in a U.S. household (in thousands of dollars) $t$ years after 1995. 2. We are given $D(24) = 20.3$.

1. **State the problem:** We are given a table of values for a function $f(x)$ and asked to evaluate $f(21)$ and find $x$ when $f(x) = 18$. 2. **Given table:**

1. The problem asks to complete the table by matching function notation values with ordered pairs. 2. Function notation $f(input) = output$ means the function $f$ takes an input an

1. **Problem Statement:** Determine the domain and range of the given piecewise line graph with endpoints at approximately $(-5,-5)$ and $(1,2)$, and vertices near $(-4,-2)$ and $(

1. **State the problem:** Solve the equation $$\frac{1}{2} + \frac{2}{3} = \frac{1}{x}$$ and find any non-permissible values for $x$. 2. **Identify non-permissible values:** Since

1. **State the problem:** Solve the inequality $2x^2 + 7x - 4 > 0$. 2. **Formula and rules:** To solve a quadratic inequality, first find the roots of the quadratic equation $2x^2

1. **State the problem:** Solve algebraically for $x$ in the equation $$6^{3x+1} = 2^{2x-3}.$$\n\n2. **Recall the formula and rules:** To solve equations with different bases, take

1. **State the problem:** Simplify the expression $$\log_m \sqrt{a} + 4 \log_m (m^4 a) - 2$$ into a single logarithm of the form $$\log_m (a^x m^y)$$ and find the values of $x$ and

1. **Stel het probleem vast:** We hebben een hoeveelheid jodium-131 die de toegestane hoeveelheid met een factor 10 overschrijdt.

1. We hebben een functie $f$ waarvan de grafiek een logaritmische functie is, gegeven door het punt $\left(\frac{25}{4}, 2\right)$. We zoeken het voorschrift van de vorm $y = \log_

1. The problem asks to find the inequality that determines the domain of the function $f(x) = \sqrt{\frac{1}{2}x - 10} + 3$. 2. The domain of a function with a square root requires

1. **State the problem:** Find the inverse of the equation $$5y + 4 = (x + 3)^2 + \frac{1}{2}$$. 2. **Rewrite the equation:**

1. **State the problem:** Marius earns interest each year following the sequence 200, 208, 216.30, 225, ... and we want to find the total interest earned by the 30th year. 2. **Ide

1. **State the problem:** We need to solve the equation

1. Let's start by stating the problem: How to factor an algebraic expression. 2. Factoring means rewriting an expression as a product of simpler expressions.