🧮 algebra

1. Das Problem lautet: Berechne den Scheitelpunkt der quadratischen Funktion $$f(x) = 4x^2 + 8x - 12$$ und gib die Scheitelpunktform an. 2. Die Scheitelpunktform einer Parabel laut

1. **State the problem:** We are given that after a 20% price decrease, the GST on a computer is 150. We need to find the GST on the computer before the price decrease. 2. **Define

1. **Stating the problem:** We have a price that undergoes a series of percentage changes: an increase of 20%, a decrease of 10%, an increase twice of 5%, and a one-time increase o

1. **Stating the problem:** We have a sequence of patterns made of unit squares forming rectangles. The first four patterns have dimensions and perimeters as follows: - Pattern 1:

1. **Problem statement:** Find the range of the functions:

1. **State the problem:** We have three oranges with masses 60g, 70g, and 85g. We need to show that their total mass is between $\frac{1}{5}$ and $\frac{1}{4}$ of a kilogram. 2. **

1. **State the problem:** We have a line that cuts the x-axis at $A(a,0)$ and the y-axis at $B(0,b)$, where $a,b \in \mathbb{Z}$. The slope of the line is $-\frac{2}{3}$, and the a

1. Masalah yang diberikan adalah menyelesaikan sistem persamaan dari soal nomor 4 dan 5. 2. Namun, hanya soal nomor 4 yang akan diselesaikan sesuai aturan.

1. **Stating the problem:** Determine the system of linear equations (SPLDV) from the given graphs labeled 4 and 5. 2. **Understanding SPLDV:** SPLDV means Sistem Persamaan Linear

1. **State the problem:** Solve the equation $$\frac{x + 12}{2} + \frac{x - 2}{2} = 0$$. 2. **Combine the fractions:** Since both terms have the same denominator 2, we can add the

1. The problem is to find the value of Kort, but since no specific mathematical problem or equation is given, we cannot solve for Kort. 2. To solve any algebraic problem, we need a

1. Das Problem lautet: Vereinfache den Ausdruck $14a - 42a^2b - 21ac$.\n\n2. Wir verwenden die Regel, dass wir gemeinsame Faktoren aus Termen ausklammern können, um den Ausdruck zu

1. The problem asks how to solve the last question, but since no specific question is provided, I will explain how to approach solving a typical algebra problem step-by-step. 2. Fi

1. The problem is to solve the equation or expression given by the user. Since no specific problem was provided, I will demonstrate solving a simple algebraic equation as an exampl

1. **State the problem:** Simplify the expression $$\frac{3 \sqrt{6} + 16}{\sqrt{6}}$$. 2. **Recall the rule:** When dividing terms by a square root, you can split the fraction int

1. The problem is to simplify the expression "Plus simple" which suggests simplifying a mathematical expression or concept. 2. Since no specific expression is given, let's consider

1. Het probleem is om een tekentabel op te stellen voor een gegeven functie of vergelijking. 2. Een tekentabel helpt ons te bepalen waar een functie positief, negatief, stijgend of

1. **Stel het probleem vast:** We bepalen het domein en de nulwaarden van de functie $$f(x) = \frac{\sqrt{x^3 + 1}}{4x^3 + 4x^2 + x}$$. 2. **Domein bepalen:**

1. **State the problem:** Given two numbers 156 and 288, we need to find: (a) their greatest common factor (g.c.f.),

1. **State the problem:** Solve the equation $$3y - \frac{1}{2} = \frac{2}{3}$$ for $y$. 2. **Isolate the term with $y$:** Add $\frac{1}{2}$ to both sides to get

1. **State the problem:** Find the prime factorization of the numbers 432, 740, 717, and 123. 2. **Recall the prime factorization method:** To factor a number into primes, divide i