🧮 algebra

1. **Stel het probleem vast:** We moeten de volgende machten berekenen: a) $10^{\frac{1}{2}}$ van 100

1. **Stating the problem:** Solve the quadratic equation $$5x^2 - 4x - 1 = 0$$. 2. **Formula used:** The quadratic formula is $$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$$ where the q

1. **State the problem:** Solve the quadratic equation $$2x^2 + 7x + 3 = 0$$. 2. **Formula used:** The quadratic formula is $$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$$ where $a$, $b

1. **Stel het probleem vast:** We moeten de volgende machten berekenen: - a) $100^{\frac{1}{2}}$

1. **Diketahui masalahnya:** Anda meminta digambarkan sketsa grafik untuk nomor 1, yaitu: - $y=2x-9$

1. **Problem:** Sketch the graphs of the functions: a) $y = 2x - 9$

1. The problem is to find the equation of a straight line that increases from bottom-left to top-right, crossing the y-axis at 1 and the x-axis at -1. 2. The general form of a line

1. **Problem:** Solve the inequality $$\left|\frac{6x-4}{3+x}\right| \ge \frac{1}{2}$$ 2. **Formula and rules:** For an inequality involving absolute value $$|A| \ge B$$ with $$B \

1. Planteamos el problema: Resolver la inecuación $$x^2 - 8x + 12 > 0$$. 2. Identificamos que es una inecuación cuadrática. Para resolverla, primero encontramos las raíces de la ec

1. Problem: Do a factoring example. 2. Let's factor a simple quadratic: $x^2+5x+6$.

1. Planteamos el problema: Resolver la ecuación cuadrática $$x^2 - 7x + 12 = 0$$ usando la fórmula general. 2. La fórmula general para resolver ecuaciones cuadráticas $$ax^2 + bx +

1. **State the problem:** We need to solve the following problems:

1. **State the problem:** Solve the equation $9(x+7)=4(x-3)$ for $x$. 2. **Write the formula and rules:** We use the distributive property to expand both sides and then isolate $x$

1. **State the problem:** Solve the equation $7(x-3)=2(x+7)$ for $x$. 2. **Write the formula and rules:** Use the distributive property to expand both sides: $a(b+c) = ab + ac$.

1. **State the problem:** Solve the equation $$\frac{4}{3}x = x + 60$$ for $x$. 2. **Formula and rules:** To solve for $x$, we need to isolate $x$ on one side. We will use algebrai

1. **Stating the problem:** We need to graph the function $$y = -4(10^x)$$ and understand its behavior. 2. **Understanding the function:** This is an exponential function of the fo

1. The problem asks to find the y-intercept of a function or equation. 2. The y-intercept is the point where the graph crosses the y-axis.

1. **State the problem:** We need to graph the function $$y = 3(11)^x$$ and understand its behavior. 2. **Formula and rules:** This is an exponential function of the form $$y = a b

1. Problemi belirtelim: Verilen kural $x+2 = 3x-1$ ve çözmemiz gereken denklem $x+1 + x = 7$. 2. İlk olarak verilen kuralı kullanarak $x$ değerini bulalım:

1. Problemi belirtelim: 2021'den 2024'e kadar olan yıllarda fabrikanın talep edilen ve üretilen araba sayıları verilmiştir. Verilen ifadelerden hangisi bar grafiğe göre yanlıştır?

1. Problem: We have a four-digit number $abcd$ with distinct digits and the sum of its digits is 15. 2. We need to list all such numbers from greatest to smallest and find the 4th