🧮 algebra

1. Let's denote the number of beads each girl started with as $x$ and $y$. Given that they used the same amount of beads to make their necklaces, this implies they took away the sa

1. The problem states that three girls, Devi, Esther, and Farah, each started with the same number of beads. Let that number be $x$ beads for each girl. 2. Devi used $\frac{2}{5}$

1. **Stating the problem:** We are given the equations: $$z = px + qy$$

1. The problem is to simplify the expression $$\frac{C}{B} = \frac{\frac{5}{2}}{\frac{7}{4}}$$ given that $$A \neq 0$$ which allows canceling $$A$$ in some similar context. 2. When

1. Let's start by defining the term polynomial. 2. A polynomial is a mathematical expression involving a sum of powers in one or more variables multiplied by coefficients.

1. Let's clarify step 4 by reviewing previous steps to understand the context. 2. If you provide the exact problem or steps 1 to 3, I can explain step 4 clearly.

1. The leading coefficient of a polynomial is the coefficient of the term with the highest degree (the term with the largest exponent). 2. For example, in the polynomial $$5x^3 - 2

1. Problem (a): Simplify the expression $(2 + 5i) + (4 - i)$. Step 1: Add the real parts: $2 + 4 = 6$.

1. **State the problem:** We are given three numbers, A, B, and C.

1. We start with part (a): Find the sum $ (2 + 5i) + (4 - i) $. 2. Add the real parts: $2 + 4 = 6$.

1. Stating the problem for question 22: Express the area of the living room (26 m²) as a fraction of the area of the kitchen (16.4 m²) and simplify.

1. Let's clarify the interval notation you mentioned: the interval \((\infty;0)\) is not standard in mathematics because infinity cannot be an endpoint of an interval going towards

1. Énoncé du problème : Pour la matrice $A = \begin{pmatrix}2 & 1 & 1 \\ 0 & 2 & 1 \\ 0 & 0 & 1\end{pmatrix}$, calculer le polynôme caractéristique $\chi_A$, trouver ses valeurs pr

1. **State the problem:** We need to find all real solutions to the equation $f(x) = 0$, which correspond to the points where the graph of $y = f(x)$ crosses the x-axis. 2. **Analy

1. Het tekenverloop van een derdegraadsveeltermfunctie hangt af van het aantal en de aard van de nulpunten van de functie. 2. Een derdegraadsfunctie heeft maximaal 3 nulpunten en m

1. Diberi fungsi $f(x) = p - 3x$ dan komposisi $gf(x) = x$. Kita juga tahu $g(2) = 5$. Kita perlu cari nilai $p$.\n\n2. Dari $gf(x) = x$, maksudnya apabila $f(x)$ dimasukkan ke dal

1. Het probleem stelt dat de dagelijkse winst $W(x)$ van een bedrijf wordt gegeven door de functie $$W(x) = -0,0164x^{3} + 1,3x^{2} - 6,9286x - 250.$$

1. De term 'zonder afgeleide' betekent meestal dat we een functie of vergelijking bestuderen zonder de afgeleide te berekenen. 2. Een voorbeeld hiervan is het oplossen van een verg

1. **Problem 1:** Identify the equation that matches the given graph of a downward opening parabola with vertex near $(2,4)$ and x-intercepts near $-1$ and $5.5$. - Equation option

1. **State the problem:** Simplify the expression given: $$20f \frac{2}{3} \div 1 \frac{2}{3} + 3 \quad \text{and}\quad \frac{1}{2} + 3 \frac{1}{2} \times 2 - 1 \frac{1}{2}$$

1. The problem is to explain the difference between dependent and independent values. 2. An independent variable is the variable that you can control or choose freely in an experim