🧮 algebra

1. We bekijken de vraag: "Hoeveel waarden van $p$ zijn er waarvoor het differentiequotiënt van $y$ op $[2, p]$ gelijk is aan 0,5?". 2. Het differentiequotiënt op het interval $[a,b

1. **State the problem:** Solve the system of linear equations for $x$ and $y$: $$2x + y = 8$$

1. **State the problem:** Simplify the expression $\sqrt{64} - \sqrt[3]{125}$.\n\n2. **Recall the formulas and rules:**\n- The square root $\sqrt{a}$ is the number that when square

1. **State the problem:** Given complex numbers $z_1 = 2 + i$, $z_2 = 3 + 4i$, and $z_3 = \overline{z_1}$ (the conjugate of $z_1$), express the following in the form $a + bi$: a) $

1. **State the problem:** If $x + 2 = 4$, find the value of $x$. 2. **Use the rule for solving one-step equations:** To isolate $x$, undo the $+2$ by subtracting $2$ from both side

1. **Problem:** If $x + 2 = 4$, what is the value of $x$? 2. **Formula used:** To isolate $x$, subtract the same number from both sides of the equation.

1. **Problem:** If $x + 2 = 4$, find the value of $x$. 2. **Formula:** To solve for $x$, use the property of equality: subtract the same number from both sides.

1. **Stating the problem:** We are given

1. Planteamos el problema: Tenemos un pueblo con 100 lámparas que se encienden 8 horas al día y gastan 3200 euros al mes. 2. Queremos saber cuántas horas al día podrán estar encend

1. **State the problem:** Given that $a - b = b - c = 2$, find the value of $$\frac{(a - b)^2 + (b - c)^2}{(a - c)^2}$$

1. **Problem statement:** Solve the system of linear equations $2x+y=8$ and $2x-y=12$. 2. **Formula/rule used:** To solve a system, we can add the equations to eliminate one variab

1. **State the problem:** Solve the system of linear equations: $$2x + y = 8$$

1. Planteamos el problema: Queremos encontrar el tiempo mínimo $x$ en horas para que la temperatura $f(x)$ sea menor o igual a 5 grados centígrados. 2. La función dada es $$f(x) =

1. **State the problem:** Solve the system of linear equations for $x$ and $y$: $$2x + y = 8$$

1. **State the problem:** We need to find the value of $x$ such that $f(x) = 4$ given the function $f(x) = 2x + 2$. 2. **Write the equation:** Set the function equal to 4:

1. **State the problem:** Solve $a^3+a^2=36$ for $a$. 2. **Write the equation in standard form:**

1. The problem is to find the common denominator (common denominator) for the fractions $\frac{1}{3}$ and $\frac{3}{5a}$. 2. To add or compare fractions, they must have the same de

1. The problem asks to find the cube root of 64, written as $\sqrt[3]{64}$.\n\n2. The cube root of a number $x$ is a value $y$ such that $y^3 = x$.\n\n3. We need to find $y$ such t

1. **State the problem:** Solve the system of equations for $x$ and $y$: $$2x + y = 8$$

1. **State the problem.** We need to simplify the expression

1. **State the problem:** We have 10 boys and 20 girls in a class. The mean mark for the whole class is 60, and the mean mark for the girls is 54. We need to find the mean mark for