🧮 algebra

1. The problem asks to find the value of $y$, but no equation or context is provided. 2. To find $y$, we need an equation or relationship involving $y$.

1. **Express** $\frac{2x^2 + 1}{x(x-1)^2}$ **in partial fractions.** The form is:

1. **State the problem:** Encik Zamarul wants to buy 2 adult tickets. Each ticket price ratio for children to adults is 3:5, and the child ticket price is RM 90.

1. **Problem Statement:** A company has a total budget of 90000 to be split among its offices. The marketing office receives twice the amount of each other office. We want to find

1. Problem: Find the positive number whose square equals $2 \frac{1}{5} : 1,5 + 1 \frac{3}{5}$. Step 1: Convert mixed numbers to improper fractions and decimals.

1. Masala: Ikkita musbat sonning o’rta arifmetigi 7,5 va o’rta geometrigi o’rta arifmetigining 80% ga teng. Sonlarni toping. Formulalar:

1. **Problem Statement:** We need to construct a function $M(n)$ that gives the amount of money each of the $n$ committees receives when a total budget of 60000 is split evenly.

1. The problem is to draw a line, which in mathematics is typically represented by a linear equation. 2. The general form of a line equation is $y = mx + b$, where $m$ is the slope

1. Stating the problem: Solve the inequality $$-\frac{x+5}{2} \le \frac{12+3x}{4}$$. 2. Formula and rules: To solve inequalities, we can multiply both sides by the least common den

1. Problem 52: Uy bekasi 150 so’mdan yong’oq sotib oldi. Yong’oqlar bo’g’izdan tozalanach, umumiy og’irligining 60% i qoldi. Bir kilogramm tozalangan yong’oq uchun necha so’m sarfl

1. Express the problem: Decompose the rational function $$\frac{2x^2 + 1}{x(x - 1)^2}$$ into partial fractions. 2. Use the formula for partial fractions with repeated linear factor

1. **State the problem:** Find the equation of the line perpendicular to the line given by $y - 2x = 3$ and passing through the point $(-1,4)$. 2. **Rewrite the given line in slope

1. **Problem Statement:** Given the polynomial function $$p(x) = 12 + 4x - 3x^2 - x^3$$, we need to find: (a) The degree of the polynomial

1. **Problem Statement:** Estimate the value of the expressions by rounding each number to 1 significant figure and then performing the calculation.

1. Problem 9: Given the function $f(x) = 2024^x$, find $f(x^2)$. 2. The function $f(x)$ is defined as an exponential function with base 2024. To find $f(x^2)$, substitute $x^2$ int

1. **Stating the problem:** We need to identify which graph represents the inequality related to the equation $3x + y = 4$. 2. **Rewrite the equation in slope-intercept form:**

1. Problem 41: Mahsulot tan-narxini toping, agar bozordagi narxi tan-narxidan 20% qimmat va sotuv narxi 5% tushirilgandan keyin 285 so'm bo'lsa. Formulalar:

1. The problem is to explain how to distribute the exponent 2 in the expression $4x + 1$. 2. The expression is $(4x + 1)^2$, which means the entire quantity $4x + 1$ is squared.

1. **State the problem:** We are given two points $(|x|,4)$ and $(3,y^2)$ that are equal, and these points lie in the second quadrant. We need to find $x+y$. 2. **Understand the co

1. Let's clarify the origin of the number 2 in step 4. 2. Typically, when you see a number like 2 multiplied by terms such as 4x and 1, it comes from applying the distributive prop

1. **State the problem:** We are given two functions: $$h(x) = x^2 - 2$$ and $$g(x) = 4x + 1$$. We need to find the composite function $$h(g(x))$$, which means substituting $$g(x)$