最新の問題

The problem asks us to plot a graph representing the conversion between Celsius (°C) and Fahrenheit ...

Linear EquationsGraphingTemperature ConversionSlopeY-intercept
2025/4/22

(1) 次の方程式を解け。 (i) $x^2 + x - 2 = 0$ (ii) $x^2 - 2x - 4 = 0$ (iii) $x^4 - 6x^2 + 1 = 0$ (iv) $(x+1)(x...

二次方程式解の公式判別式複素数解因数分解
2025/4/22

A taxi journey costs $£9$ upfront, and then $£2$ for every mile travelled. We need to find the cost ...

Linear EquationsWord ProblemCost Calculation
2025/4/22

We are given that out of 120 customers, 45 bought both bags and shoes. Also, everyone bought either ...

Venn DiagramsSet TheoryProbabilityInclusion-Exclusion Principle
2025/4/22

We are given the following information: $a+b+c = 15$ $a^2 + b^2 + c^2 = 83$ We are asked to find the...

Algebraic EquationsExpansionProblem Solving
2025/4/22

The sixth term of an arithmetic progression is 37, and the sum of the first six terms is 147. We nee...

Arithmetic ProgressionSequences and SeriesLinear Equations
2025/4/22

The problem provides the equation $x^2 = 5 + 2\sqrt{6}$ and asks to find the value of $x$. Also, it ...

EquationsExponentsAlgebraic ManipulationSimplificationPerfect SquaresInequalities
2025/4/22

与えられた式 $12x^2 - 7xy - 12y^2$ を因数分解します。

因数分解二次式多項式
2025/4/22

We are asked to simplify the expression $\frac{(a^0b^{-2})^2}{b \cdot a b^0}$.

ExponentsSimplificationAlgebraic Expressions
2025/4/22

Simplify the expression $\frac{x^4 \cdot (x^{-2}y^3)^{-3}}{2y \cdot 2xy^3}$.

ExponentsSimplificationAlgebraic Expressions
2025/4/22