🧮 algebra

1. समस्या बताएं: हमें 198, 210 और 315 का LCM (Least Common Multiple) यानी सबसे छोटा समापवर्तक खोजना है। 2. सूत्र और नियम: LCM खोजने के लिए हम प्रत्येक संख्या का अभाज्य गुणनखंड (pri

1. The problem is to solve the equation $2x + 3 = 7$ for $x$. 2. We use the basic algebraic principle: to isolate $x$, perform inverse operations on both sides of the equation.

1. The problem states: Given $iD = 30 = 1.24$ and $xRO = 4.95$, find what $50$ equals to. 2. It seems like $iD$ and $xRO$ are variables or values related by some unknown relationsh

1. The problem is to solve the equation $7 - (-x) = 12$ for $x$. 2. Recall that subtracting a negative number is the same as adding its positive counterpart. So, $7 - (-x)$ becomes

1. The problem is to solve the equation $7 - (-x) = 12$ for $x$. 2. Recall the rule that subtracting a negative number is the same as adding its positive counterpart: $a - (-b) = a

1. **State the problem:** Evaluate the expression $$-8 - 9[-2(4^2 + 8 \cdot 2)] + 2[(3 + 4) - 6^2]$$. 2. **Recall order of operations:** Use PEMDAS (Parentheses, Exponents, Multipl

1. The problem asks to represent the inequality $x > -3$ on a number line. 2. This inequality means that $x$ can be any number greater than $-3$, but not equal to $-3$.

1. The problem is to represent a number or expression on a number line. 2. To represent a number on a number line, locate the point corresponding to that number on the line.

1. **Problem Statement:** Identify key characteristics of the graph of a function based on the description provided. 2. **Number of y-intercepts:** The y-intercept is where the gra

1. **State the problem:** We need to analyze the graph of a function based on the description and answer questions about intercepts, extrema, and domain. 2. **Number of y-intercept

1. The problem is to represent given numbers on a number line. 2. A number line is a straight line where each point corresponds to a real number.

1. The problem is to evaluate the expression $86^{1\frac{1}{2}}$, which means $86$ raised to the power of $1.5$ or $\frac{3}{2}$. 2. Recall the rule for fractional exponents: $a^{m

1. The problem states: When 9 is increased by 3x, the result is greater than 36. We need to find the least possible integer value for $x$. 2. Write the inequality based on the prob

1. **State the problem:** Solve the inequality $12 - 6x > 24$. 2. **Isolate the variable term:** Subtract 12 from both sides:

1. The problem involves understanding the Roman numeral III and the middle V being V prime (V'). 2. Roman numeral III represents the number 3.

1. **State the problem:** Solve the equation $$\log(5x + 6) = 2 \log_{10}(5x + 6)$$ where the base of the first logarithm is not explicitly given, so we assume it is base 10. 2. **

1. The problem asks to solve question 4, but since the exact question is not provided, I will assume it is a typical algebraic problem involving solving an equation or expression.

1. **Stating the problem:** We have a sequence with nth term given by $$T_n = an^3 - 2n^2 + n + d$$ where $a$ and $d$ are constants.

1. **Problem statement:** The first five terms of a sequence are 4, 6, 16, 40, and 81. (i) Determine if the sequence is quadratic or cubic.

1. **State the problem:** Find the domain and range of the piecewise function $$g(x) = \begin{cases} 6x + 7, & x \leq -2 \\ 4 - 3x, & x > -2 \end{cases}$$

1. **State the problem:** Solve the equation $$\frac{3x}{4} - \frac{1}{4}Cx - 20 = \frac{x}{4} + 32$$ where $C$ is a constant. 2. **Rewrite the equation:** Move all terms to one si