🧮 algebra

1. **State the problem:** Rashid starts with 45 wristbands and gives 3 wristbands to each group of students. He needs to return for more wristbands when he has fewer than 9 left. W

1. **Problem statement:** We have a function $f: \mathbb{R}^+ \to \mathbb{R}$ defined by $f(x) = 4x + 3$. We need to determine if it is one-one (injective), onto (surjective), both

1. **State the problem:** Find the value of $x$ that satisfies the equation $$\frac{1}{3}(5x+3) - \frac{1}{6}(x+6) = 6.$$\n\n2. **Write down the equation clearly:** $$\frac{1}{3}(5

1. **Problem statement:** Given the equation in base $x$: $231_x - 143_x = 44_x$, find the value of $x$. 2. **Convert each number from base $x$ to base 10:**

1. The problem is to evaluate $\left(3.2\right)^2 - \left(1.8\right)^2$. 2. We use the formula for the difference of squares: $$a^2 - b^2 = (a - b)(a + b)$$ where $a = 3.2$ and $b

1. The problem is to find the percentage increase or decrease in various scenarios. 2. The formula for percentage change is:

1. The problem is to graph the functions: 1. $f(x) = 2x + 1$

1. Misalkan matriks \(A=\begin{bmatrix}1 & 1 \\ -1 & 1\end{bmatrix}\) dan \(B=\begin{bmatrix}1 & 0 \\ 0 & 1\end{bmatrix}\). Hitunglah \((A+B)(A-B)-(A-B)(A+B)\). 2. Kita mulai denga

1. **Problem statement:** (a) A translation $T$ moves point $P(1,2)$ to $P_1(5,3)$. Find the image of $Q(3,4)$ under $T$.

1. **State the problem:** We have a survey of traders selling tomatoes and onions with the following information:

1. **State the problem:** We have traders selling tomatoes and onions at Makola Market. Given fractions and numbers, we need to find: a. Fraction of traders selling tomatoes.

1. **Stating the problem:** We have a market survey with traders selling tomatoes and onions.

1. The problem asks for the fraction of traders who sell only one commodity. 2. To solve this, we need to know the total number of traders and how many of them sell exactly one com

1. **State the problem:** We are given fractions of traders selling tomatoes and onions and need to find the fraction of traders that sell tomatoes. 2. **Define variables:** Let th

1. Problem 1: Old McDonald has 250 chickens and goats in the barnyard. Altogether there are 760 feet. How many of each animal does he have? 2. Step 1: Understand the problem.

1. Masalah: Tentukan akar-akar dari persamaan kuadrat $$x^2 - 5x + 6 = 0$$. 2. Rumus yang digunakan adalah rumus kuadrat: $$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$$, di mana $$a$$,

1. **State the problem:** Old McDonald has 250 chickens and goats. The total number of feet is 760. We need to find how many chickens and goats there are. 2. **Understand and devis

1. **State the problem:** Calculate the value of the expression $2 \times 115 \div 360 \times \frac{22}{7} \times 25 \times 25$. 2. **Write the expression clearly:**

1. Masalah: Diberikan fungsi $f(x)$ dan translasi $T = (a, b)$ dengan $a > 0$ dan $b < 0$. Tentukan fungsi bayangan hasil translasi tersebut. 2. Translasi fungsi secara umum dapat

1. **Stating the problem:** Calculate the factorial of a number, for example, 5!. 2. **Formula:** The factorial of a positive integer $n$ is defined as:

1. **Problem Statement:** Check if 8836 is a perfect square using the Vedic Square Root method. 2. **Vedic Square Root Method Overview:**