🧮 algebra

1. The problem is to convert the decimal 0.549 into a fraction in its simplest form. 2. To convert a decimal to a fraction, write the decimal number as the numerator and use a deno

1. **Problem Statement:** Find the domain and range of the function $$f(x) = \frac{\sqrt{x}}{x - 4}$$ and sketch its graph. 2. **Domain:** The function involves a square root and a

1. **State the problem:** Simplify the expression $\frac{5r}{20r^2}$.\n\n2. **Recall the rules:** When simplifying fractions with variables, divide coefficients and subtract expone

1. সমস্যাটি হলো: একটি অজানা সমীকরণের সমাধান করতে হবে। 2. প্রথমে সমীকরণটি স্পষ্ট করতে হবে বা সমীকরণের ধরন জানতে হবে।

1. **State the problem:** Simplify the expression $$\frac{8v^{10}}{2v^{5}}$$. 2. **Recall the division rule for exponents:** When dividing powers with the same base, subtract the e

1. **State the problem:** We want to verify if $-\frac{2}{5} + 4 = \frac{18}{5}$ is true. 2. **Rewrite the equation:** The left side is $-\frac{2}{5} + 4$ and the right side is $\f

1. **Problem 1:** Find the equation of the line parallel to $2x - 5y + 3 = 0$ passing through $(1,4)$. 2. **Problem 2:** Find the equation of the line parallel to $x + 4y - 7 = 0$

1. The problem involves evaluating the expressions: $5^{-2}$, $5 \div 25$, $3 \times 125$, and $2 \div 625$. 2. Recall the rule for negative exponents: $a^{-n} = \frac{1}{a^n}$ whe

1. **State the problem:** We are given an arithmetic sequence where the first term $a_1=6$ and the second term $a_2=18$. We need to find the third term $a_3$ and the fourth term $a

1. Let's start by stating the problem: You want answers for practice questions and explanations on how to solve them. 2. Since no specific questions were provided, I'll demonstrate

1. **State the problem:** We need to simplify the expression $$\frac{9}{2} + \frac{11}{3} + \frac{17}{6} = ? + \frac{12}{5} + \frac{21}{10}$$ and find the value of the unknown term

1. Solve each inequality in section 2 step-by-step. (a) Solve $5x - 6 < 29$:

1. **State the problem:** We have a sequence where each term is found by multiplying the previous term by 4 and then subtracting 31. 2. **Given:** The 9th term, $a_9 = 25$. We want

1. The point-slope form of a line is used primarily to write the equation of a line when you know a point on the line and the slope of the line. 2. The formula for the point-slope

1. The problem is to find the upper and lower boundaries for the number 6. 2. Upper and lower boundaries refer to the smallest and largest numbers that round to 6 under a certain r

1. **State the problem:** Find the equation of the line parallel to the line given by $$3x + y - 4 = 0$$ that passes through the point $$(2, -5)$$. 2. **Identify the slope of the g

1. We are given the system of inequalities: $$-4x^2 + x - 6 < 0$$

1. **State the problem:** We need to find the values of $\alpha$ and $b$ given the system of equations: $$12 = 8 + \alpha$$

1. **State the problem:** Solve the equation $60 = 10y$ for $y$. 2. **Formula and rules:** To solve for $y$, we need to isolate $y$ on one side of the equation. Since $y$ is multip

1. **State the problem:** Solve the linear equation $3x - 1.5 = 10.5$ for $x$. 2. **Recall the formula and rules:** To solve for $x$, isolate $x$ on one side of the equation by per

1. **State the problem:** Solve the equation $n - 11 = 16$ for $n$. 2. **Formula and rules:** To solve for $n$, we want to isolate $n$ on one side of the equation. We do this by pe