🧮 algebra

1. Diketahui matriks-matriks berikut: $$p = \begin{pmatrix} a+3 & 2b-6 \\ B - a & -38 + 9 \end{pmatrix}, \quad R = 3r = \begin{pmatrix} 2 & 0 \\ 9 & 32 \end{pmatrix}, \quad Q = \be

1. The problem is to verify if the answer is 49 for the given question (not explicitly stated). 2. Since the user states the answer might be 49, let's consider a common algebraic p

1. **Stating the problem:** Majed starts with 2 magic stones. Each time the stones are rubbed once, each stone produces one new stone, effectively doubling the total number of ston

1. **Problem:** Graph the linear equation $y=2x+2$. 2. **Formula:** The slope-intercept form of a line is $y=mx+b$, where $m$ is the slope and $b$ is the y-intercept.

1. The problem asks to express the repeating decimal $3.999\ldots$ as a fraction $\frac{p}{q}$ where $p$ and $q$ are integers and $q \neq 0$. 2. Let $x = 3.999\ldots$.

1. **State the problem:** We have cost function $C(X) = 12X + 300$ and revenue function $R(X) = 0.4X^2 + 48X + 200$, where $X$ is in thousands of tickets.

1. **Problem:** Prove by mathematical induction that $6^n - 1$ is divisible by 5 for $n \geq 0$. 2. **Base Case:** For $n=0$, calculate $6^0 - 1 = 1 - 1 = 0$, which is divisible by

1. The problem is to solve a math question suitable for a senior five student in Rwanda. Since the user did not specify a particular problem, I will demonstrate solving a common al

1. The problem is to express 0.0025 as a common fraction. 2. Recall that a decimal can be converted to a fraction by writing it over a power of 10. Since 0.0025 has four decimal pl

1. The problem is to express 0.25 as a common fraction. 2. Recall that a decimal can be converted to a fraction by writing it over a power of 10. Since 0.25 has two decimal places,

1. The problem is to express 0.003 as a common fraction. 2. Recall that a decimal can be written as a fraction with a denominator that is a power of 10. Here, 0.003 means 3 thousan

1. The problem asks to determine if each table represents a linear relation using first differences. 2. For table a), list the y-values: 0, 1, 8, 27, 64.

1. **State the problem:** Find the percent equivalent of the fraction $\frac{1}{400}$.\n\n2. **Formula:** To convert a fraction to a percent, multiply the fraction by 100:\n$$\text

1. **State the problem:** Determine if the functions $f(x) = (x-1)(x-2)$ and $g(x) = \frac{x-1}{x-2}$ are linearly independent. 2. **Recall the definition:** Two functions $f$ and

1. The problem asks: What is the percent? 2. Percent means "per hundred" and is a way to express a number as a fraction of 100.

1. The problem is to find the decimal fraction of $\frac{1}{400}$. 2. The formula to convert a fraction to a decimal is to divide the numerator by the denominator:

1. **State the problem:** Solve the quadratic equation $$3x^2 = -4 + 8x$$ for $x$. 2. **Rewrite the equation in standard form:** Move all terms to one side to get $$3x^2 - 8x + 4 =

1. **State the problem:** Solve the quadratic equation $3x^2 = -4 + 8x$ using the quadratic formula. 2. **Rewrite the equation in standard form:** Move all terms to one side:

1. The problem is to simplify the expression _X_x. 2. Since _X_x is not a standard algebraic or mathematical expression, we interpret it as a variable or symbol.

1. **بيان المسألة:** لدينا الدالة $$f(x) = x^2 - 2x + 1$$ معرفة على المجال $$\mathbb{R} \setminus \{-1\}$$ ونريد دراسة نهاياتها، مشتقتها، سلوكها، وحساب المساحات المحصورة بين منحنى

1. **بيان المسألة:** نحن ندرس الدالة $$f(x) = \frac{x^2 - 2x^2 - x + 2}{(x-1)^2}$$ معرفة على المجال $$[-1,4]$$.