🧮 algebra

1. The problem states a value at the bottom-right as $28$ and asks for a complete solution with checking. 2. Since the problem is not fully specified, we interpret it as verifying

1. **Problem:** Find the center, vertices, and foci of the conic section given by $$16x^2 + 25y^2 + 16x + 4 = 100y$$. 2. **Problem:** Find the equation of the circle with radius $5

1. The problem is to solve a sample problem and provide its solution. 2. Since no specific problem is given, let's consider a sample algebra problem: Solve for $x$ in the equation

1. **Nyatakan masalah:** Diberi titik A(-4,9) dan B(-7,3) pada satah Cartes.

1. **Problem 1:** Calculate $\frac{4}{21} + \frac{6}{3}$. Formula: To add fractions, find a common denominator and add numerators.

1. **Problem:** Calculate $$\frac{4}{21} + \frac{6}{3}$$. 2. **Formula:** To add fractions, find a common denominator and add numerators.

1. **State the problem:** Find the width of the tunnel from bottom left to bottom right using the quadratic model $$y = -0.08x^2 + 2.88x$$ where $$y$$ is the height and $$x$$ is th

1. **State the problem:** Solve the equation $$2b = 2x$$ for one variable in terms of the other. 2. **Formula and rules:** To isolate a variable, divide both sides of the equation

1. **Problem Statement:** Graph the inequality $y \geq x^2 - 2$ and find the x-intercept, vertex, and test point. 2. **Formula and Rules:** The graph is a parabola of the form $y =

1. **Problem:** Graph the inequality $y \geq x^2 - 2$. **Step 1:** Identify the boundary curve: $y = x^2 - 2$ is a parabola opening upwards with vertex at $(0,-2)$.

1. **Problem:** Graph the inequality $$y \geq x^2 - 2$$. **Step 1:** Recognize this is a parabola opening upwards with vertex at $(0,-2)$.

1. **State the problem:** We are asked to analyze and graph the parabola given by the inequality $y \geq x^2 + 4$ and the equation $y = -x^2 + 4$. We will find the vertex, x-interc

1. **State the problem:** We need to find the equation of a line with slope $m=\frac{2}{7}$ that passes through the point $(5, -6)$. 2. **Formula used:** The point-slope form of a

1. **State the problem:** Solve the inequality $$5 - 3x \le 20$$. 2. **Isolate the variable term:** Subtract 5 from both sides:

1. **Problem Statement:** We are given three polynomial functions:

1. **State the problem:** Solve the inequality $$2x - \frac{1}{3} - x + \frac{2}{4} > 1$$. 2. **Combine like terms:** Group the terms with $x$ and the constants separately.

1. **State the problem:** Solve the inequality $$\frac{x}{3} + 1 > 4$$. 2. **Isolate the variable term:** Subtract 1 from both sides:

1. **Bài toán:** Khảo sát và vẽ đồ thị các hàm số bậc ba đã cho. 2. **Công thức chung:** Hàm số bậc ba có dạng $$y = ax^3 + bx^2 + cx + d$$ với $a \neq 0$.

1. **Bài toán:** Khảo sát và vẽ đồ thị hàm số $y = x^3 - 3x^2 + 1$. 2. **Công thức và quy tắc:**

1. **State the problem:** Simplify the expression $$6/2(1+2)$$. 2. **Evaluate the parentheses first:** $$1+2=3$$.

1. **State the problem:** Simplify the expression $$-4y - 4z$$. 2. **Identify common factors:** Both terms have a common factor of $$-4$$.