🧮 algebra

1. Problem: Determine the largest ratio of new Twitter followers gained from one month to the next. 2. Given followers per month: January = 235, February = 246, March = 363, April

1. State the problem: Order the following mathematical expressions from least to greatest: $$\infty, \sqrt{21}, 4!, \frac{9}{11}, \frac{4\pi}{2}, \log_2(16), \int_2^7 x \, dx, e^3,

1. The problem states that item C has a transport quantity of 880 tonnes per 40-hour week. 2. First, find the transport rate per hour for item C by dividing 880 tonnes by 40 hours:

1. We start with the given equation: $$\frac{4x - 9}{2\sqrt{x + 3}} = 2\sqrt{x - \sqrt{5 + x}}$$

1. Stating the problem: Simplify the expression $$A= \frac{a^{\frac{1}{5}}\times \sqrt[3]{\sqrt{b}}}{\sqrt[4]{b^3}\times \sqrt{a}}$$. 2. Rewrite radicals using fractional exponents

1. The problem provides the function value $g(1) = -k^n + k^1 a$ and states that $g(1) = 0$. We need to analyze this equation. 2. From the equation $g(1) = 0$, we write:

1. State the problem: Solve the system of equations $$3x + y = 18$$

1. Stating the problem: Solve the system of linear equations \(3x + y + 18 = 0\) and \(y = 2x + 3\). 2. Substitute the expression for \(y\) from the second equation into the first:

1. Let's state the problem: We want to solve the system of simultaneous equations using substitution method. Given system:

1. We are asked to solve the quadratic equation $$2x^2 + 5x - 18 = 0$$ by completing the square. 2. First, divide the entire equation by 2 to make the coefficient of $x^2$ equal to

1. The problem asks for the axis of symmetry of the curve given by the quadratic function $y = 3x^2 - x - 4$. 2. Recall that the axis of symmetry for a quadratic function in the fo

1. لنبدأ بتحديد المعادلة التي تريد تحليلها. يبدو أنك كتبت المعادلة بصيغة غير واضحة: $$g(x) = -xxxx + xx - 2$$. 2. لنفترض أنك تقصد ضرب المتغير x في نفسه عدة مرات بشكل مشابه للمعادلا

1. **Problem Statement:** Explain the concept of inequalities in mathematics. 2. **Definition:** An inequality compares two values or expressions to show if one is less than, great

1. Let's clarify the terms first. 2. A **proportional relationship** is when two quantities change in such a way that their ratio remains constant. For example, if $y$ is proportio

1. The problem demonstrates the concept of proportions, where two ratios are equal. Given the ratios $\frac{2}{4}$ and $\frac{3}{6}$, we verify if they are proportional. 2. Simplif

1. The problem is incomplete; please provide a full expression, equation, or context to solve. 2. To proceed, please provide a specific equation or problem statement.

1. The problem presents the determinant of a 3x3 matrix: $$\left| \begin{matrix} 1 & a & a^2 \\ 1 & b & b^2 \\ 1 & c & c^2 \end{matrix} \right|$$

1. The problem states that the determinant of the 3x3 matrix $$\begin{vmatrix} 1 & a & a^2 \\ 1 & b & b^2 \\ 1 & c & c^2 \end{vmatrix} = (a - b)(b - c)(c - a).$$

1. We are given that $\frac{3}{4}$ of a piece of metal has a mass of 15 kg. 2. Let the total mass of the piece of metal be $m$ kg.

1. The problem asks what the graphs of the equations $x = a$ and $y = b$ represent. 2. The equation $x = a$ represents all points where the $x$-coordinate is constant at $a$, regar

1. The problem states that 6 kg of biscuits cost 27 dollars. 2. We need to find the cost of 12 kg of biscuits.