🧮 algebra

1. **State the problem:** Solve the equation $8(x-3)-2(3-x)=2(x+2)-5(5-x)$. 2. **Apply the distributive property:** Multiply each term inside the parentheses by the factor outside.

1. **State the problem:** Solve the equation $5 - 4(x - 3) = x - 2(x - 1)$ for $x$. 2. **Apply the distributive property:**

1. Vi börjar med att bestämma derivatan för funktionen $f(x) = 4x^3 - 12x$. 2. Derivatan av $x^n$ är $nx^{n-1}$, och derivatan av en konstant multiplicerad med en funktion är konst

1. **State the problem:** Rationalise the denominator of the expression $$\frac{7 - \sqrt{5}}{\sqrt{5} - 2}$$ and express the answer in the form $$a + b\sqrt{5}$$. 2. **Formula and

1. **State the problem:** Rationalise the denominator of the expression $$\frac{2\sqrt{2}}{\sqrt{5} - \sqrt{3}}$$ and express the answer in the form $$a\sqrt{10} + b\sqrt{6}$$. 2.

1. **State the problem:** Find the coordinates of points A and B given as fractions. 2. **Identify the coordinates:**

1. **Problem:** Solve for $x$ in the equation $x + 2 = 4$. 2. **Formula:** To isolate $x$, use the subtraction property of equality: if $a + b = c$, then $a = c - b$.

1. Das Problem lautet: Löse die Gleichung $$\frac{2x+3}{4} = 5$$. 2. Die Formel, die wir verwenden, ist das Lösen von Gleichungen durch Multiplikation beider Seiten mit dem Nenner,

1. **Problemstellung:** Gegeben sind zwei Punkte $A(2,2)$ und $B(4,4.5)$, und wir sollen eine Exponentialfunktion der Form $y = a \cdot b^x$ finden, die durch diese Punkte verläuft

1. **Stating the problem:** We want to find how to get the numbers 4, 30, 36, 52, and 57 from a total of 11 using only ones and twos. 2. **Understanding the problem:** Using ones a

1. **Problem:** Der Preis eines T-Shirts wird im Ausverkauf um $\frac{1}{4}$ des ursprünglichen Preises herabgesetzt. Das T-Shirt kostet nach der Ermäßigung 24 €. Wie hoch war der

1. **State the problem:** We are given two summations involving terms $y_i$: $$\sum_{i=1}^{4p^2-p} y_i = 4p - 1 - x$$

1. **State the problem:** We are given the function $$h(x) = \frac{6x^2 - 23x + 20}{2x - 5}$$ and need to express it in the form $$ax + b$$ where $$a, b \in \mathbb{Z}$$.

1. The problem is to find the dimensions of a rectangle given that its perimeter is 56. 2. The formula for the perimeter $P$ of a rectangle with length $l$ and width $w$ is:

1. **State the problem:** We need to find the missing number $x$ in the equation: $$75 + 1000 + 275 = x(3 + 40 + 11)$$

1. The problem asks for the quotient of $\frac{1}{2}$ divided by $\frac{2}{5}$. We need to find $\frac{1}{2} \div \frac{2}{5}$.\n\n2. Recall the rule for dividing fractions: \n$$\f

1. O problema pede para resolver o exercício 6, mas como não foi fornecido o enunciado, vou assumir que você quer ajuda com um problema comum de álgebra. 2. Suponha que o exercício

1. **Énoncé du problème :** Calculer le pourcentage d'augmentation lorsque la surface des nénuphars passe de 200 m² à 240 m² (augmentation de 40 m²).

1. **State the problem:** Solve the equation $$\frac{5x + 2}{4} - \frac{x - 2}{3} = \frac{x - 5}{16}$$ for $x$. 2. **Identify the formula and rules:** To solve equations with fract

1. The problem is to solve part b of the second question, but since the exact problem statement is missing, I will assume it involves solving or simplifying an algebraic expression

1. Het probleem is om de vergelijking $2 = \frac{12}{5} + b$ op te lossen voor $b$. 2. We willen $b$ isoleren aan één kant van de vergelijking. Dit doen we door $\frac{12}{5}$ van