🧮 algebra

1. لنقم بتحديد ما إذا كان 27 عددًا أوليًا أم لا. 2. العدد الأولي هو العدد الذي له عاملان فقط: 1 ونفسه.

1. Problem statement: Evaluate the expression $\sqrt{7}-\sqrt{2}\{2\}$. 2. Interpretation: We interpret $\{2\}$ as the fractional part of 2, defined by $\{x\}=x-\lfloor x\rfloor$.

1. **Stating the problem:** We analyze the function $$f(x) = \frac{x}{2x^{2} - 3x + 1} + \sqrt{\frac{x-1}{1-2x}}$$

1. **State the problem:** Simplify $$4 + i^5$$ and $$2i^{13} - (i^{41} + i)$$ where $$i$$ is the imaginary unit with property $$i^2 = -1$$. 2. **Recall powers of $$i$$:**

1. **State the problem:** Simplify the expression $$C = 2(4\sqrt{x}3) + \sqrt{x}7 - \sqrt{x}3(2\sqrt{x}3) - \sqrt{x}2$$

1. El enunciado es: Calcular la expresión $$1 - 87 + \frac{27 - 1}{25^2} - \frac{0.311}{0.310}$$. 2. Primero, simplificamos los términos dentro de paréntesis y las potencias:

1. Problem: Analyze the functions $f(x) = \frac{x^2 - 1}{x + 3}$ and $g(x) = \frac{2x - 5}{x - 2}$, their product $(f \cdot g)(x)$, and related rational expressions. 2. Find where

1. **State the problem:** Find the equation of a line parallel to line A and passing through point P (0,18). 2. **Find the slope of line A:** Use points (-7,-20) and (1,8) on line

1. The problem is to find the equation of a line parallel to Line A that passes through point P. 2. From the graph description, Line A passes through (-5, -10) and (5, 10).

1. We start with the quadratic equation: $$x^2 + 6x - 5 = 0$$ 2. To solve for $x$, we use the quadratic formula:

1. Let's start by understanding what the number $e \approx 2.7182818$ represents. 2. The number $e$ is the base of the natural logarithm, also called the Napierian logarithm.

1. The problem asks how to distribute 178 stitches across 271 stitches. 2. This can be interpreted as finding the ratio of 178 stitches to 271 stitches, or computing the fraction $

1. **State the problem:** We want to fit 178 clusters into 271 stitches. 2. **Interpretation:** This typically means distributing clusters evenly over stitches or finding how many

1. Calculer les expressions suivantes : A = -11 - 7,5 + 3 * 23

1. Let's check if the point $(0,5)$ lies on the line described by the equation $y=2x-5$. 2. Substitute $x=0$ into the equation: $$y=2(0)-5=0-5=-5$$

1. The problem is to analyze the function $f(x) = 2x - 1$ on the interval $[-3, 2]$. 2. This is a linear function with slope 2 and y-intercept $-1$.

1. You asked if I can solve a problem if given "U" and "L". 2. To assist you effectively, I need to understand the exact problem or equation involving "U" and "L".

1. Define the slope formula: slope $m$ is given by the ratio of the rise (vertical change) over the run (horizontal change). 2. Write this as an equation: $$m=\frac{\text{rise}}{\t

1. The problem is to find the slope of a line using the rise over run method. 2. "Rise" is the vertical change between two points on the line, calculated as $\text{rise} = y_2 - y_

1. The problem is to analyze the linear function $y=2x-5$. 2. This function is in slope-intercept form $y=mx+b$ where $m=2$ is the slope and $b=-5$ is the y-intercept.

1. Problem statement: You provided a piecewise function \(f(x)\) defined as:\ \[f(x) = \begin{cases} 2x^2 + 3x + 1 \\ x + 1 \end{cases}\]