🧮 algebra

1. **State the problem:** Solve the system of equations given by: $$2^x \cdot 4^y = \frac{1}{8}$$

1. The problem asks for the meaning of the signs "<" and ">". 2. These signs are called inequality symbols.

1. The problem asks for all points on the parabola given by the equation in question 7: $$y = -2x^2 - 8x - 12$$. 2. Points on the parabola satisfy the equation exactly, meaning the

1. Het probleem is om te bepalen wat je moet halen om een score van 50 procent te behalen. 2. De formule om een percentage te berekenen is $$\text{Percentage} = \frac{\text{Behaald

1. **Understanding Systems of Linear Equations** A system of linear equations is a set of two or more equations with the same variables. Our goal is to find values for these variab

1. The problem asks to identify the algebraic rule that transforms parallelogram GHJK to G'H'J'K'. 2. The given points for GHJK are approximately G(-4,-6), H(-8,-4), J(-6,-3), K(-2

1. مسئله را بیان می‌کنیم: مجموع جملات اول و دوم یک دنباله هندسی برابر $\frac{5}{3}$ است و مجموع جملات دوم و سوم آن برابر $\frac{5}{6}$ است. باید جمله اول $a$ و قدر نسبت $r$ را پیدا

1. **State the problem:** We have two functions:

1. **State the problem:** Solve the inequality $$\frac{3x - 5}{x + 1} \geq 1$$. 2. **Rewrite the inequality:** Subtract 1 from both sides to get a single rational expression:

1. **State the problem:** Simplify the expression $\frac{28x}{7}$. 2. **Formula and rules:** When dividing terms, you can divide the numerator and denominator by their greatest com

1. The problem is to compare the two fractions $\frac{5}{8}$ and $\frac{2}{3}$ to determine which is greater. 2. To compare fractions, we can find a common denominator or cross-mul

1. **Problem:** Prove that for all integers $n$, the expression $n^2 + n + 3$ is an odd number using direct proof. 2. **Formula and rules:** An integer is odd if it can be written

1. **State the problem:** Calculate the sum of $\frac{3}{4}$ and $\frac{1}{2}$.\n\n2. **Formula and rules:** To add fractions, they must have a common denominator. The sum is given

1. The problem is to simplify the fraction $\frac{5}{4}$. 2. Simplifying a fraction means reducing it to its simplest form where the numerator and denominator have no common factor

1. The problem is to solve an equation by substituting or "plucking in" the variable $r$ first. 2. Generally, when solving equations, substituting a variable means replacing it wit

1. **State the problem:** The temperature at night is -5 degrees, and during the day it rises by 11 degrees. We need to find the daytime temperature. 2. **Formula used:** To find t

1. Das Problem lautet: Wie sind die Formeln für die drei Fälle ausgefüllt? 2. Zuerst müssen wir wissen, welche drei Formeln oder Fälle gemeint sind. Ohne genaue Angaben nehme ich a

1. Проблемот гласи: За кои вредности на параметарот $p$ равенката $$(p+1)x^2 - 2(p-1)x + 2p - 5 = 0$$ има конјугирано комплексни решенија? 2. За да равенката има конјугирано компле

1. Das Problem lautet: Löse die Gleichung $$3x + 5 = 20$$ nach $$x$$ auf. 2. Die verwendete Formel ist die lineare Gleichung in der Form $$ax + b = c$$, wobei $$a$$, $$b$$ und $$c$

1. **Проблем:** Реши ја равенката $$\frac{5}{2x^2 - 50} = \frac{1}{6x + 30} + \frac{3}{4x - 20}$$ со ограничувања $$x \neq -5$$ и $$x \neq 5$$. 2. **Формули и правила:** За да реши

1. The problem is to find the solution, but no specific equation or context was provided. 2. To solve an equation, we need the equation itself or more details.