最新の問題
The problem asks to expand and simplify the binomial expression $(5x - 4y)^2$.
Binomial ExpansionAlgebraic SimplificationPolynomials
2025/3/21
The problem asks to multiply two binomials: $(5r - 9s^2)$ and $(-2c - 6s^2)$. We need to express the...
PolynomialsBinomial MultiplicationAlgebraic ManipulationDistributive Property (FOIL)
2025/3/21
The problem requires us to subtract the polynomial $(5.6x^3 - 7.2x^2 + 2)$ from the polynomial $(2.2...
PolynomialsAlgebraic ManipulationSubtractionSimplification
2025/3/21
The problem states that a company will produce 20 units for a price of $31 and 40 units for a price ...
Linear EquationsSupply EquationLinear ModelingEconomics
2025/3/21
The profit function is given by $P(x) = 18x - 360$. We need to find the break-even quantity, which m...
Linear EquationsBreak-even pointProfit functionAlgebraic manipulation
2025/3/21
The problem asks to find the expression for $\frac{f(x+h) - f(x)}{h}$ given that $f(x) = x^2 - 1$.
FunctionsAlgebraic ManipulationDifference QuotientCalculus (Precursor)
2025/3/21
The problem provides the supply and demand equations for a product: Supply: $p = 8q + 2$ Demand: $p ...
Supply and DemandLinear EquationsEquilibrium PriceEconomics
2025/3/21
The problem states that a company has a variable cost of $4 per unit and a fixed cost of $20000. The...
ProfitCostRevenueInequalitiesLinear EquationsBusiness Application
2025/3/21
The problem is to solve the equation $p = 2q - 3r$ for $q$. We need to isolate $q$ and express it in...
Equation SolvingLinear EquationsVariable Isolation
2025/3/21
The problem asks us to solve the equation $\frac{2}{x-1} = \frac{3}{x-2}$ for $x$. We must also cons...
EquationsRational EquationsSolving EquationsExtraneous Solutions
2025/3/21