🧮 algebra

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

1. **Nyatakan masalah:** Diberi bahawa $T$ berubah secara langsung dengan punca kuasa tiga $U$ dan kuasa dua $V$. Kita diberi nilai $T=24$ apabila $U=-64$ dan $V=9$. Kita perlu car

1. Problem: We have a number line with colored intervals: yellow (-3 to -2), blue (-2 to -1), pink (-1 to 0), green (0 to 1), purple (1 to 2), and orange (2 to 3). 2. Given: $2A$ l

1. **Stating the problem:** We are given that $y$ varies directly as the cube root of $x$, i.e., $y \propto \sqrt[3]{x}$. We need to find the constant of proportionality $k$ and th

1. **State the problem:** Jake wants to make cupcakes using a recipe for 8 cupcakes that requires 30g caster sugar and 50g butter per 8 cupcakes. He has unlimited flour, milk, and

1. **Stel het probleem vast:** We hebben twee termen van een rekenkundige rij: $u_2 = 22$ en $u_5 = 30$. We moeten $u_1$ en het verschil $v$ berekenen.

1. The problem is to solve for $x$ in the equation $2x + 3 = 11$. 2. We use the basic algebraic principle of isolating the variable $x$ by performing inverse operations.

1. We gaan uitleggen wat een rekenkundige rij is. 2. Een rekenkundige rij is een rij getallen waarbij je steeds hetzelfde getal optelt om bij het volgende getal te komen.

1. **Stel het probleem vast:** We willen begrijpen hoe rekenkundige rijen werken. 2. **Definitie:** Een rekenkundige rij is een rij getallen waarbij elk volgend getal wordt verkreg

1. **Stating the problem:** We need to understand and solve inequalities, which are mathematical expressions involving \(<\), \(>\), \(\leq\), or \(\geq\).\n\n2. **Formula and rule

1. Das Problem lautet: Löse die Gleichung oder Aufgabe (bitte geben Sie die genaue Aufgabe an, da keine spezifische Aufgabe genannt wurde). 2. Da keine konkrete Aufgabe angegeben w

1. **State the problem:** Solve the equation $$\frac{e^x - e^{-x}}{2} = 1$$ for $x$. 2. **Rewrite the equation:** Multiply both sides by 2 to clear the denominator: