🧮 algebra

1. We are asked to determine if the functions $h(x)=\frac{x-3}{\sqrt{x+1}+2}$ and $k(x)=\sqrt{x+1}-2$ are equal. 2. Start by simplifying $h(x)$. Notice that $h(x)$ is a fraction wi

1. Stating the problem: Simplify the expression $$x^2 (x - y) y^2 (x + 2y)$$. 2. Rewrite the expression grouping terms:

1. We start with the problem: Simplify the expression $$x^2 (x - y) y^2 (x + 2y)$$. 2. First, observe the terms and group the factors for clarity:

1. The problem is to find the value or expression related to "X" but the user did not provide any specific details or equation involving X. 2. To help with math problems, please pr

1. Given the equation $2x - 20y + xy - 190 = 0$, we want to analyze or simplify it. 2. Group the terms involving $x$ and $y$:

1. The problem is to find the square root of 1225. 2. Recall that the square root of a number $x$, denoted $\sqrt{x}$, is a value that when multiplied by itself gives $x$.

1. The problem asks for the square root of 81. 2. The square root of a number $x$ is the number $y$ such that $y^2 = x$.

1. The problem asks to find $K_\infty$ and $\beta$ given the expression: $$K_\infty = \frac{(2.00 - 1 - u) + \beta (2.00^2 - 1 - u^2)}{5}$$

1. ਸਵਾਲ ਦਾ ਅਰਥ ਹੈ ਕਿ ਦੋ ਸੰਖਿਆਵਾਂ $x$ ਅਤੇ $y$ ਹਨ ਜਿਨ੍ਹਾਂ ਦਾ ਅਨੁਪਾਤ $9:16$ ਹੈ ਅਤੇ ਉਹਨਾਂ ਦਾ ਮੱਧ ਅਨੁਪਾਤ (mean proportional) $24$ ਹੈ। 2. ਅਨੁਪਾਤ $9:16$ ਦੇ ਅਰਥ ਇਹ ਹੈ ਕਿ $\frac{x}{y} = \fr

1. Find the equation of the line passing through points (1, 4) and (3, 5). The slope is $m = \frac{5-4}{3-1} = \frac{1}{2}$.

1. Problem statement: The maximum possible score is $N$, and the pass mark is $45\%$ of $N$, i.e., $0.45N$. 2. A candidate obtains 36 marks but falls short of the pass mark by 68%.

1. Find the equation of the straight line passing through points (1, 4) and (3, 5). The slope $$m= \frac{5-4}{3-1}=\frac{1}{2}$$.

1. State the problem: The salaries of Rafayet, Nihan, and Shafiul were in the ratio $6:5:7$ in 2010 and changed to $3:4:3$ in 2015. Rafayet's salary increased by 25% from 2010 to 2

1. Stating the problem: The number of girls appearing for the test is twice the number of boys. Let the number of boys be $B$ and the number of girls be $G=2B$. 2. Admission rates:

1. The problem asks for the linear equation that represents the additional hourly parking rate $x$ past the base 2 hours. 2. From the table, the cost for 2 hours is $3.50$, which i

1. Stating the problem: Solve the equation involving absolute values: $$|2x - 1| = 3 |x + 1|$$

1. Muammo: 19/30 m uzunlikdagi simdan hamma tomonlari teng bo‘lgan uchburchak yasash uchun yana 8/30 m sim kerak bo‘ldi. Uchburchak tomoni uzunligini toping. 2. Uchburchakning tomo

1. Masala: To‘g‘ri kasrni to‘g‘ri kasrga bo‘lish amallari to‘g‘ri yoki noto‘g‘ri bajarilganligini aniqlash. 2. Esda tutamiz: To‘g‘ri kasrni to‘g‘ri kasrga bo‘lish uchun birinchi ka

1. The problem states: Given the ratios $A : B = 7 : 9$ and $B : C = 3 : 4$, find the combined ratio $A : B : C$. 2. To find $A : B : C$, we need a common term for $B$ in both rati

1. Muammo: Azizbekdagi konfetlar sonini topish. Ma'lum: - Azizbekdagi konfetlarning $\frac{3}{8}$ qismi Maftunadagi konfetlarning uch baravariga teng.

1. The problem asks for the average of the squares of the first 121 natural numbers. 2. The first 121 natural numbers are $1, 2, 3, \ldots, 121$.