🧮 algebra

1. Das Problem lautet: Finde den Wert von b. 2. Da keine weiteren Informationen gegeben sind, ist es nicht möglich, b zu bestimmen.

1. Problem: Vereinfache den Term $$\sqrt{\frac{4}{3}} \cdot \sqrt{27} - 3 \cdot \frac{1}{2}$$ ohne Taschenrechner. 2. Formel und Regeln: Die Wurzel eines Produkts ist das Produkt d

1. **State the problem:** Simplify the expression $x^4 + 4x^2 - x^3y - 4xy$ by factoring. 2. **Identify common factors and group terms:** Group the terms as $(x^4 - x^3y) + (4x^2 -

1. **State the problem:** Simplify the fractions $\frac{0}{18}$, $\frac{18}{18}$, and $\frac{18}{1}$.\n\n2. **Recall the rules:**\n- Any fraction with numerator 0 is 0, i.e., $\fra

1. **Opdracht 1.3.1: Bereken de volgende wortels** We gebruiken de formule voor wortels: $$\sqrt{a \cdot b} = \sqrt{a} \cdot \sqrt{b}$$ en de regel dat $$\sqrt{x^2} = |x|$$.

1. We are given two functions: $f(x) = -2x^2 + 2x - 1$ and $g(x) = 2x + 1$. We need to find $f(g(2))$, which means we first find $g(2)$ and then substitute that result into $f(x)$.

1. **Stel de vraag:** Wat betekent het 10-tallig stelsel? 2. **Definitie:** Het 10-tallig stelsel, ook wel decimaal stelsel genoemd, is het getalsysteem dat we dagelijks gebruiken.

1. **Begrijp het concept:** Bij een getal in een bepaald talstelsel (zoals base 7) is de macht van de basis afhankelijk van de positie van het cijfer, beginnend van rechts naar lin

1. **Stel het probleem vast:** Je vraagt hoe je van de binaire getallen $00011011$ en $00001110$ naar $00001011$ gaat bij het toepassen van bitwise operatoren. 2. **Herinner de bit

1. **State the problem:** Factor the quadratic expression $x^2 + 5x + 6$. 2. **Recall the factoring formula:** For a quadratic $ax^2 + bx + c$, we look for two numbers that multipl

1. **State the problem:** Factor the quadratic expression $x^2 + 5x + 6$. 2. **Recall the factoring formula:** For a quadratic $ax^2 + bx + c$, we look for two numbers that multipl

1. The problem is to factor the quadratic expression $x^2 + 5x + 6$. 2. To factor a quadratic of the form $ax^2 + bx + c$, we look for two numbers that multiply to $c$ and add to $

1. **State the problem:** Simplify the expression $$\left(\frac{(x^{12})^{0.25}(216x^{9})}{(3x)^{6}(x^{18})^{0.5}}\right)^{-1/3}$$

1. **State the problem:** Solve the equation $2y^2(4-2) = 16$ for $y$. 2. **Simplify the expression inside the parentheses:**

1. **State the problem:** Solve the inequality $$22 \geq -7(2 - y) + 2y$$ for $$y$$. 2. **Apply the distributive property:**

1. **State the problem:** Solve the inequality $$-5(x + 7) + 25 \leq 3(2 - x)$$ for $$x$$. 2. **Apply the distributive property:**

1. **State the problem:** Pablo boards a train moving away from the coast at a constant rate. After 11 hours, he is 591 km from the coast, and after 16 hours, he is 836 km from the

1. **State the problem:** We have a tank being drained at a constant rate. After 21 minutes, it contains 371 liters, and after 31 minutes, it contains 181 liters. We want to find t

1. **State the problem:** We want to find the number of weeks $w$ after the beehive's establishment when the population $B$ reaches 720. 2. **Given equation:** The population is mo

1. **State the problem:** We are given a rectangle with area 28 yd². The length is 1 yd more than twice the width. We need to find the length and width. 2. **Set variables:** Let t

1. **State the problem:** We need to find the length and width of a rectangle where the length is 3 ft less than twice the width, and the area is 27 ft\(^2\). 2. **Define variables