🧮 algebra

1. **State the problem:** Find the distance between points $M(5, -6)$ and $N(-3, -10)$ rounded to the nearest tenth. 2. **Formula:** The distance $d$ between two points $(x_1, y_1)

1. **Probleemstelling:** We onderzoeken de bevolkingsgroei tussen 1500 en 1000, berekenen de gemiddelde bevolkingstoename per jaar tussen 400 v.Chr. en 1500 n.Chr., bepalen in welk

1. Masalah: Perkalian aljabar koefisien dengan variabel. 2. Rumus dasar perkalian aljabar adalah mengalikan koefisien dan variabel secara terpisah:

1. **State the problem:** We need to find the equation of a straight line that is parallel to line AB and passes through point P. 2. **Formula and rules:**

1. **State the problem:** Solve the equation $$4^x - 3(2^x) = -2$$ for $x$. 2. **Rewrite the equation using properties of exponents:** Note that $$4^x = (2^2)^x = 2^{2x} = (2^x)^2$

1. **Stating the problem:** Given the straight line AB with equation $y = 2x + 6$, find the equation of a straight line parallel to AB that passes through point $P(6,4)$.

1. **State the problem:** Solve the system of linear equations: $$7x + 3y = 3$$

1. **Problem Statement:** Find which of the given numbers lies between $\frac{3}{4}$ and $\frac{7}{8}$.\n\n2. **Step 1: Convert fractions to decimals for easier comparison.**\n$\fr

1. **State the problem:** Jenn earns 150 per hour and tutored for 3 hours on Monday, 2 hours on Wednesday, and 4 hours on Saturday. We need to find how much she earned for the whol

1. Diberikan persamaan kuadrat $$x^2 - 7x + 5 = 0$$. Tentukan nilai dari: (1) $$x_1^2 + x_2^2$$

1) Bài toán: Cho hai số dương $x, y$ thỏa mãn phương trình $$x(x^3 + y^3) + 6xy(x + y - 2) = (x + y)^2(xy + 4).$$

1. مسئله را بیان می‌کنیم: دنباله‌ای به صورت بازگشتی تعریف شده است: $$a_n = 2a_{n-1} - a_{n-2}$$

1. **Problemstellung:** Bestimme eine ganzrationale Funktion vierten Grades $f(x)$, die zur y-Achse symmetrisch ist, durch den Ursprung geht, bei $x=3$ eine Nullstelle hat mit Stei

1. **Problem statement:** Bestimmen Sie eine ganzrationale Funktion dritten Grades, deren Graph zum Koordinatenursprung symmetrisch ist. Der Graph hat eine Nullstelle bei $x=2$, di

1. **State the problem:** If 15 is subtracted from the product of 4 and a certain number, the result is 5. Find the number. 2. **Set up the equation:** Let the certain number be $x

1. **State the problem:** We need to find a number such that when it is multiplied by 4 and then 7 is added to the product, the result is 19. 2. **Set up the equation:** Let the nu

1. **State the problem:** We are given the sum of the ages of Jerry, Sowane, and Sashi as 64. 2. **Given data:**

1. نبدأ بكتابة المسألة: تحليل العبارة الجبرية $$x^2 + 7x + 4$$. 2. نبحث عن عاملين للعدد 4 مجموعهما 7، لكن 4 عدد أولي ولا يوجد عاملان صحيحان يحققان ذلك.

1. The problem is to understand and simplify the expression $15x^2y$. 2. This expression is a product of a constant coefficient 15 and variables $x^2$ and $y$.

1. **State the problem:** We need to find how many books are in a set if the total cost is 72 and each book costs 4.50. 2. **Formula used:** To find the number of books, use the fo

1. **State the problem:** You take 45 minutes to get dressed and have breakfast each morning. Breakfast takes 17 minutes. We need to find how long it takes to get dressed. 2. **For