🧮 algebra

1. Problemet er å finne verdien av $100 \div 699$ uten kalkulator. 2. Formelen for divisjon er $\frac{a}{b}$ hvor $a$ er telleren og $b$ er nevneren.

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1. **State the problem:** Simplify the expression $$(a^2 + 2)^2(-2 - a^2)(2 - a^2)$$. 2. **Recall the formula and rules:** We will use the difference of squares formula: $$ (x - y)

1. **State the problem:** We want to find the ticket price $t$ that maximizes the profit $P$ given by the quadratic relation $$P = -37t^2 + 1258t - 7700.$$ 2. **Recall the formula

1. **State the problem:** Simplify the expression $$(\sqrt{22} - \sqrt{3}i) + (\sqrt{22} + \sqrt{3}i).$$ 2. **Recall the formula and rules:** When adding complex numbers, add the r

1. **State the problem:** We have the population model for an Ontario city given by the quadratic equation $$P = 14t^2 + 820t + 42000,$$ where $t$ is the number of years since 2000

1. **Problem:** Use laws of logarithms to combine the expression $$4\log 6 - 3\log 2 + 3\log 5 + 8\log 12 + \log 9$$. 2. **Formula and rules:**

1. **Problem:** Use laws of logarithms to combine the expression $$4\log 6 - 3\log 2 + 3\log 5 + 8\log 12 + \log 9$$. 2. **Formula and rules:**

1. **Problema:** Verificar el límite $\lim_{x \to 2} (5x^5 - 3x^3 + x - 2)$ para confirmar si el resultado es 136. 2. **Fórmula y regla:** Para límites de polinomios, se puede eval

1. Problemi kërkon të zëvendësojmë variablat $zv$, $t$, dhe $dt$ në një shprehje të dhënë. 2. Për të zëvendësuar variablat, duhet të dimë vlerat ose shprehjet që ato përfaqësojnë.

1. Lahenda võrrand a) \((2x + 1)^2 + 3(2x + 1) = 0\).\n\n2. Märkame, et \(y = 2x + 1\), siis võrrand saab kujule \(y^2 + 3y = 0\).\n\n3. Kirjutame võrrandi ümber: \(y^2 + 3y = 0\).

1. **State the problem:** Felicia buys a motorcycle for 3985. Each year its value depreciates by $x\%$. After 7 years, its value is 3269. We need to find $x$ to 2 decimal places. 2

1. **Stating the problem:** Simplify or understand the expression $(x+a) \sqrt{2x+1}$. 2. **Formula and rules:** The expression involves a binomial $(x+a)$ multiplied by a square r

1. **Stating the problem:** Given the function $$R(x) = (4 + a) \sqrt{2x + 1} - x + 3 - y$$ and the condition $$P(4) = 7$$, we want to find the value of $$a$$ assuming $$y$$ is a c

1. **State the problem:** Solve the system of linear equations: $$6x - y = 25$$

1. The problem asks for the answer of the expression involving variables 10, a, b, c, d, and e. 2. Assuming the expression is the product $10 \times a \times b \times c \times d \t

1. **State the problem:** We need to estimate the value of

1. Stating the problems: - Problem 8a: Solve for $a$ in the equation $8a = 0$.

1. **State the problem:** Mario bought four headphone sets and sold them for €320. The exchange rate is £1 = €1.1701. We need to find the profit Mario made and express it as a perc

1. **State the problem:** We are given a triangle with sides $x$, $x+2$, and $x+4$ and a perimeter of 24 cm. We need to find the value of $x$ and determine the type of triangle.

1. **Stating the problem:** We have four numbers: $1.5 \times 10^4$, $4.8 \times 10^6$, $3.2 \times 10^2$, and $7.5 \times 10^3$.