最新の問題

We need to solve the equation $\frac{2x}{x-4} = 4 + \frac{8}{x-4}$.

EquationsRational EquationsSolving EquationsNo Solution
2025/3/21

The problem asks us to solve the linear equation $3(x-3) = 4 - 2(x+2)$ for $x$. We need to simplify ...

Linear EquationsEquation SolvingAlgebraic Manipulation
2025/3/21

We need to solve the system of equations: $3x - 2y = 2$ $4y = 12$

Systems of EquationsLinear EquationsSubstitution
2025/3/21

The problem asks to find the domain of the function $f(x) = \frac{x-4}{\sqrt{x-6}}$.

FunctionsDomainSquare RootsInequalitiesRational Functions
2025/3/21

We are given a diagram of a triangle ABC, where angle B is a right angle. The length of AC is 12 cm ...

TrianglesTrigonometryRight TrianglesSineCosineTangentSurds
2025/3/21

We are given that $n$ is an integer. We need to find the greatest possible value of $n$ that satisfi...

InequalitiesInteger SolutionsLinear Inequalities
2025/3/21

A manufacturer sells belts for $11 per unit. The fixed costs are $2000 per month, and the variable c...

Linear EquationsBreak-even AnalysisBusiness Mathematics
2025/3/21

The problem describes the exercise preferences of people in a locality. 25 people like walking, 22 ...

Set TheoryVenn DiagramsCombinatorics
2025/3/21

The problem presents a supply and demand graph. We need to determine which of the given statements i...

Supply and DemandEconomicsGraph AnalysisEquilibrium
2025/3/21

The problem states that $a$ varies directly as the square of $b$ and inversely as $c$. We are given ...

Direct VariationInverse VariationProportionalityVariables
2025/3/21