🧮 algebra

1. **Stel het probleem vast:** We willen weten hoe vaak de inhoud van de maxibox groter is dan de inhoud van een mediumbox. 2. **Formule voor inhoud van een rechthoekige doos:**

1. **Stel het probleem vast:** We moeten het totaal aantal slaapzalen berekenen dat nodig is voor jongens en meisjes, waarbij jongens en meisjes apart slapen. 2. **Gegeven gegevens

1. We are asked to find the percentage decrease in the asking price of a house. 2. The original asking price was 124500.

1. **State the problem:** Solve the equation $$\frac{2) - 3x - 7}{4} + x + \frac{17}{5} = 0.$$ 2. **Rewrite the equation clearly:** The expression seems to be $$\frac{2 - 3x - 7}{4

1. **Stel het probleem vast:** Je wilt weten hoeveel euro je betaalt voor 2 polo's als de eerste polo 39,95 kost en de tweede polo 50% korting heeft. 2. **Formule en regels:** De p

1. **State the problem:** Solve the equation $x - 1 = 0.4x - 2.5$ for $x$. 2. **Write down the equation:**

1. **State the problem:** Solve the equation $4,2x + 8 = 8 - 7x$ for $x$. 2. **Rewrite the equation:** Note that the comma in $4,2x$ likely represents a decimal point, so rewrite a

1. **Problemstellung:** Wir sollen eine gerade Funktion 6. Grades finden, die doppelte Nullstellen bei $x=1$ und $x=3$ hat und durch den Punkt $P(0|18)$ verläuft. 2. **Wichtige Reg

1. **State the problem:** We have two trains making the same trip. The passenger train takes 3 hours, and the freight train takes 7 hours. The freight train's speed is 40 miles per

1. **State the problem:** We need to find the price of a necklace and a bracelet given that together they cost 192 and the necklace costs 3 times as much as the bracelet. 2. **Defi

1. **State the problem:** We need to find three consecutive odd integers such that the sum of the first and second is 31 less than 3 times the third. 2. **Define variables:** Let t

1. **Stating the problem:** We want to prove that the determinant $$G_2 = \begin{vmatrix} q_1 & q_3 \\ 1 & q_2 \end{vmatrix} = q_1 q_2 - q_3 > 0$$

1. **State the problem:** Given three variables $a$, $b$, and $c$ with the following sums: $$a + b + c = 4$$

1. The problem is to solve the logarithmic equation $\log_x 64 = 3$. 2. Recall the definition of logarithm: $\log_a b = c$ means $a^c = b$.

1. The problem asks to write Boussahia Sayeh's equation as \((x + y) \times (x - y)\). 2. This expression is a difference of squares formula, which states:

1. **State the problem:** Simplify the expression $$\frac{1}{2} + \frac{1}{2 + \frac{12}{7}}$$. 2. **Rewrite the denominator in the second term:** The denominator is $$2 + \frac{12

1. Diberikan fungsi rasional $f(x) = \frac{2x-3}{x+4}$ dengan $x \ne -4$. 2. Tujuan kita adalah mencari fungsi invers $f^{-1}(x)$, yaitu fungsi yang "membalik" $f(x)$ sehingga $f(f

1. **State the problem:** We are given a table showing the distance an object travels over time and asked to find the distance traveled in 5 seconds assuming a constant rate of cha

1. The problem states that an object travels at a constant rate and provides a table of time (s) and distance (m): | Time (s) | Distance (m) |

1. **State the problem:** We are given a table showing the distance an object travels over time and asked to find the distance traveled in 5 seconds assuming a constant rate of cha

1. Diketahui fungsi $f(x) = 3^{2x-4}$. Kita diminta mencari nilai $f(2)$.\n2. Substitusikan $x = 2$ ke dalam fungsi: $$f(2) = 3^{2(2)-4}$$\n3. Hitung eksponen: $$2(2) - 4 = 4 - 4 =