🧮 algebra

1. **State the problem:** We are given an arithmetic sequence: $$144, 145, Q, 147, 148, 149, 150, 151, 152$$ and need to find the value of $$Q$$. 2. **Recall the definition of an a

1. **State the problem:** Simplify the expression $$(2^2 y^2)^2$$. 2. **Recall the exponent rules:** When raising a power to another power, multiply the exponents: $$(a^m)^n = a^{m

1. **Stating the problem:** We need to solve the system of linear equations (SPLDV) given by:\n$$\begin{cases} x + 2y = -1 \\ 3x - y = 11 \end{cases}$$\n\n2. **Method:** We will us

1. Mari kita selesaikan soal pertama: Sistem Persamaan Linear Dua Variabel (SPLDV) dengan persamaan: $$x + 2y = -1$$

1. **State the problem:** Find the sum of the arithmetic sequence $-2, 2, ..., 4n - 2$. 2. **Identify the first term and common difference:**

1. **State the problem:** Find the sum of the arithmetic sequence $-2, 2, ..., 4n - 2$. 2. **Identify the first term and common difference:**

1. **Menyatakan masalah:** Diketahui harga 3 tangkai bunga lili dan mawar adalah 86000.

1. **State the problem:** We are given three equations and asked to find the value of $x$ when $y=0$ (i.e., find the x-intercept) for each. ---

1. The problem is to understand how to solve linear equations and find intercepts step by step. 2. The standard form of a linear equation is $$Ax + By = C$$.

1. **State the problem:** Factor the expression $$x^2 - 9y^2$$.

1. **Stating the problem:** Simplify the expression $$91 - 92 \times 89 - 90$$. 2. **Formula and rules:** According to the order of operations (PEMDAS/BODMAS), multiplication must

1. **Nyatakan masalah:** Kita diminta untuk memfaktorkan ekspresi $$3xy^2 - 6x^2y$$. 2. **Formula dan aturan penting:** Pemfaktoran adalah proses mengubah ekspresi menjadi hasil ka

1. Diketahui fungsi $f(x) = 3x + 5$ dan $g(x) = 7x - 4$. Kita diminta menentukan komposisi fungsi dan inversnya. 2. a. Menentukan $(f \circ g)(x)$ atau $f(g(x))$:

1. **State the problem:** We are given a map scale where $\frac{1}{2}$ inch represents 8 miles. We need to find the actual distance between two points that are $1\frac{1}{4}$ inche

1. The problem is to solve all questions from NCERT Class 8 Chapter 8.3. 2. Since the user requested all question solutions, we will solve the first question completely as per inst

1. The problem is to understand the meaning and use of the square root symbol $\sqrt{ }$. 2. The square root symbol $\sqrt{ }$ represents the principal square root of a number, whi

1. **State the problem:** We need to expand the expression $(7n+8)(2m-5)$ and then simplify the expression $\frac{5}{7}m - \frac{1}{3}(5 - 9n)$ as a single fraction.

1. **Problem 4:** Find the length of one side of a square courtyard whose area is given by $x^2 + 10x + 25$.\n\n2. The formula for factoring perfect square trinomials is:\n$$a^2 +

1. **Problem:** A rectangular park has an area represented by $$15x^3 - 20x^2$$. We need to find its dimensions by factoring the expression. 2. **Formula and rules:** To factor a p

1. **State the problem:** Simplify the expression $$\frac{3}{7b}(14a - 21b) - \frac{a}{2b}$$ and match it to one of the given options. 2. **Recall the distributive property:** $$k(

1. **State the problem:** Solve the equation $$\frac{1}{x+4} - \frac{1}{x-7} = \frac{11}{30}$$ using the quadratic equation method. 2. **Find a common denominator and combine the f