🧮 algebra

1. **State the problem:** Calculate $$\frac{3^2 \times 3}{3^4 + 3 \times 27}$$. 2. **Recall the rules:**

1. Masalah: Tentukan persamaan garis yang melalui titik $A(3,-4)$ dengan gradien $2$. 2. Rumus yang digunakan: Persamaan garis dengan gradien $m$ yang melalui titik $(x_1,y_1)$ ada

1. **State the problem:** Solve the system of linear equations: $$\begin{cases} x + y = 6 \\ x - y = 2 \end{cases}$$

1. Masalah: Tentukan persamaan garis yang melalui titik A (0,4) dengan gradien 2. 2. Rumus yang digunakan adalah rumus persamaan garis dengan gradien (m) dan titik (x_1,y_1):

1. **State the problem:** Simplify the radical expression $\sqrt{75}$.\n\n2. **Recall the formula and rules:** To simplify a square root, find the prime factorization of the number

1. **State the problem:** Solve the inequality $$\sqrt{2x - 4} + \sqrt{x + 4} \geq \sqrt{2x}$$. 2. **Identify domain restrictions:**

1. **State the problem:** Solve the inequality $$\sqrt{2x - 3} + \sqrt{4x - 2} \leq \sqrt{6x - 5}$$. 2. **Identify domain restrictions:**

1. **Stating the problem:** Simplify and analyze the function $$y = \tan^8 x - 4x^2 \sec x - x^{\cos x}$$. 2. **Recall the definitions and properties:**

1. **Stating the problem:** Solve the equation or task given (since the user only said "solve 1 task" without specifying, we assume a generic example: solve $x^2 - 4 = 0$. 2. **For

1. The problem is to solve the equation $1 = 1$. 2. This equation states that the number 1 is equal to the number 1.

1. **State the problem:** Simplify or analyze the expression $$(n - 1)(x + 2) \sqrt{x^4 + 3x^3 - x^2 + x + 2}.$$\n\n2. **Understand the components:** The expression is a product of

1. The problem is to divide two numbers or expressions, but the exact division is not specified. 2. Division in algebra is performed by writing one expression over another as a fra

1. **State the problem:** Simplify the expression $$(x - 1)(x + 2) \sqrt{x^4 + 3x^3 - x^2 + x + 2}$$ 2. **Recall the formula and rules:**

1. **Stating the problem:** Simplify the expression $$\frac{2^{-3} \times 2^{5} \times 2^{0}}{2^{6} \times 2^{-3}}$$. 2. **Formula used:** When multiplying powers with the same bas

1. The problem asks to analyze the graph of a function and answer specific questions about values of $x$ and $y$. 2. (a) For what values of $x$ is $y=1$?

1. The problem involves calculating percentages of given numbers. 2. For question 23, we need to find 12% of 276 and 65% of 276.

1. **State the problem:** We need to find the cost price of a product that retails for 399 with a gross profit (GP) of 30% of the retail price. 2. **Formula used:** Gross Profit (G

1. The problem is to find the x-intercept and y-intercept of a function or equation. 2. The y-intercept is the point where the graph crosses the y-axis. At this point, $x=0$.

1. **State the problem:** Solve the linear equation $3x + 1 = -5$ for $x$. 2. **Formula and rules:** To solve for $x$, isolate $x$ by performing inverse operations. Remember, whate

1. **State the problem:** We need to find the value of 440 decreased by 10 percent. 2. **Formula used:** To decrease a number by a percentage, use the formula:

1. The problem asks to decrease 400 by 10 percent. 2. To decrease a number by a percentage, we use the formula: $$\text{New value} = \text{Original value} - \left(\frac{\text{perce