🧮 algebra

1. **State the problem:** Evaluate the expression $$0.25^{-3} + \left(\frac{5}{4}\right)^{-2} + 38 \left(\left(-\frac{2}{3}\right)^{-1} - 0.125^{-1}\right)^{-1}$$

1. 问题：求函数 $y=-5x+3$ 与 $x$ 轴交点坐标。\n 方法：交点是 $y=0$ 的点，\n 解方程：$0 = -5x + 3$ \n 解得：$5x = 3 \Rightarrow x = \frac{3}{5}$。\n 交点坐标为 $\left(\frac{3}{5}, 0\right)$。\n\n2. 问题：判断哪个点在函数

1. The problem is to make solving algebraic expressions easier by simplifying the process. 2. Start by identifying like terms and combine them to reduce complexity.

1. The problem asks to express 80% as a fraction in simplest form. 2. Recall that percent means "per hundred," so 80% can be written as the fraction $\frac{80}{100}$.

1. The problem asks to convert the fraction \( \frac{9}{20} \) into a percentage.\n2. To convert a fraction to a percentage, multiply it by 100.\n3. Calculate \( \frac{9}{20} \time

1. Problem: Find the relation, domain, and range representing the shaded region given three graphs. For (a): The shaded region R lies above the parabola $$y=x^2$$ between $$x=-2$$

1. State the problem: Solve for $k$ in the equation $$\frac{96}{k} = 3$$. 2. To isolate $k$, multiply both sides of the equation by $k$ to get rid of the denominator:

1. **Stating the problem:** Solve the quadratic equation $$x^{2} - 5x = 0$$. 2. **Rewrite the equation:** Factor out the common term $$x$$:

1. **State the problem:** Solve the quadratic equation $x^2 - 5x = 0$. 2. **Rewrite the equation:** Factor the left-hand side.

1. State the problem: Solve the quadratic equation $$n^2 - 11n + 18 = 0$$. 2. Factor the quadratic equation by finding two numbers that multiply to 18 and add to -11. These numbers

1. Stating the problem: Solve the quadratic equation $$y^2 + 2y - 8 = 0$$. 2. Use the quadratic formula: For equation $$ay^2 + by + c = 0$$, solutions are $$y = \frac{-b \pm \sqrt{

1. Problem restatement: We need to find the value of $f(f(2))$ given the graph of $y = f(x)$ that starts near 0, rises to about 3 at $x = 2.5$, and descends to 0 at $x = 5$. 2. Ste

1. Problem 3a: Given the augmented matrix $$\begin{bmatrix} 1 & -3 & 4 & 7 \\ 0 & 1 & 2 & 1 \\ 0 & 0 & 1 & 3 \end{bmatrix}$$

1. **Stating the problem:** A cyclist travels a distance $x$ miles at 10 mph and returns the same distance at 8 mph. We need to find the average speed for the entire round trip.

1. The problem states that Jimmy made a 15% profit on the sale of a boat which originally cost N15,000. 2. To find the selling price, we need to calculate 15% of the original cost

1. **State the problem:** We know the winner receives half (\(\frac{1}{2}\)) of the total prize money and gets N6,000.

1. **State the problem:** Given that 1 inch on the map represents 20 miles in reality, and the distance between two towns on the map is 6 1/5 inches, find the actual distance betwe

1. Let's start by defining what a rational number is. 2. A rational number is any number that can be expressed as the quotient or fraction $\frac{a}{b}$, where $a$ and $b$ are inte

1. **State the problem:** A student took 5 classes with given credit hours and received letter grades. We need to find the GPA using a 4.0 scale (A=4, B=3, C=2). 2. **List the clas

1. **Stating the problem:** Julie buys a flute for N306 after two discounts: first 10% for students, then an additional 15% during a sale. We need to find the original price of the

1. Uzdevums: Atrisināt vienādojumus. 2. a) Atrisināsim vienādojumu $$\frac{4}{x} = 5 - x^2$$, izmantojot grafiku.