🧮 algebra

1. **State the problem:** You have 50 lumber to allocate between hp and defense (def). Each lumber gives 160k hp or 640 def. Each point of defense increases hp by 2%. 2. **Define v

1. Let's understand your problem: You have 1000 units of lumber and want to allocate it somehow. 2. To help, I need more information about how you'd like to allocate it. For exampl

1. Masalah yang diberikan adalah mencari faktor bagi dari 32. 2. Faktor bagi adalah nombor yang boleh membahagi nombor tertentu tanpa meninggalkan baki.

1. Simplifica cada expresión aplicando las propiedades de potencias. ### a. $$\frac{(-4)^8}{(-4)^3}$$

1. Problema: Simplificar la expresión $\frac{(-4)^8}{(-4)^3}$ utilizando propiedades de la potenciación. Paso 1: Aplicar la propiedad $\frac{a^m}{a^n} = a^{m-n}$.

1. The problem involves understanding why the answer is $\frac{135}{574}$. 2. Without more context, we assume a fraction was simplified or derived from a probability or ratio calcu

1. **Problem Statement:** We see a polynomial curve $p(x)$ that crosses the x-axis before $x=1$, has a local maximum between $x=1$ and $x=2$, and then a local minimum near $x=2$. A

1. Stating the problem: We need to separate the given real numbers into rational and irrational numbers and explain the reasoning. 2. Definition reminder:

1. The problem is to rationalise the denominator of the fraction \( \frac{\sqrt{2} + 10}{2 - \sqrt{2}} \) and express the answer in the form \( a + b\sqrt{2} \). 2. To rationalise

1. **State the problem:** Simplify the expression $$(2 + 2\sqrt{27})(3\sqrt{3} - 1)$$. 2. **Simplify the terms inside the expression:** First, simplify $\sqrt{27}$. Since $$27 = 9

1. Let's create a simple algebraic problem: Solve for $x$ in the equation $$2x + 5 = 13$$. 2. To solve for $x$, first subtract 5 from both sides to isolate the term with $x$:

1. Problem: Describe the set $A$ which contains all even numbers between 2 and 10. Step 1: Identify even numbers between 2 and 10.

1. The problem asks us to explain what an equivalence relation is and its use with an example. 2. An equivalence relation on a set is a relation that satisfies three properties:

1. **Problem Statement:** Expand and simplify the expression $$(x+1)(x+2)(x+5)$$. 2. **Step 1:** First, expand the first two binomials $$(x+1)(x+2)$$.

1. समस्या सांगितली आहे की दोन संख्यांच्या रूपात $7 + 4A$ आणि $5 + 2B$ यांचा गुणाकार 98537 अशी संख्या मिळते. \n2. या 98537 या संख्येचा दशकस्थानाचा अंक आपण लक्षात घेऊ, म्हणजेच ही संख

1. The problem is to expand and simplify the expression $ (x+1)(x+2)(x+3) $. 2. First, multiply the first two binomials: $ (x+1)(x+2) = x^2 + 2x + x + 2 = x^2 + 3x + 2 $.

1. The problem is to simplify the expression $$\frac{9x^2 - 16}{3x + 4}.$$\n\n2. Start by factoring the numerator, which is a difference of squares: $$9x^2 - 16 = (3x)^2 - 4^2 = (3

1. प्रश्न समजून घेऊया: \(|x| = -x\) असं दिलं आहे. आपल्याला \(x\) चं कोणतं मूल्य असू शकतं हे शोधायचं आहे. 2. पूर्णांक \(x\) साठी पूर्णांक गुणधर्म पाहूया.

1. Stating the problem: We are given two functions f(x) = 7x + 6

1. We are asked to factorize the expression $$9c^2 - 12cd + 4d^2 + 10cd^2 - 15c^2d$$.

1. The problem is to graph the linear equation $y=3x+1$. 2. The slope is $3$ and the y-intercept is $1$. This means the line crosses the y-axis at the point $(0,1)$ and rises 3 uni