🧮 algebra

1. The problem asks us to write the slope-intercept form of a line given the slope $m = -1$ and the y-intercept $b = 8$. 2. The slope-intercept form of a line is given by the formu

1. The problem states that Layla makes one basket out of every three shots she attempts, represented by the equation $m = \frac{1}{3}a$, where $m$ is the number of shots made and $

1. **State the problem:** Matilda bought packs of cookies and boxes of donut holes. The total number of cookies and donuts is given by the equation $$24c + 18d = 132$$ where $c$ is

1. **State the problem:** We are given the linear equation $30x + 6y = 60$ and want to analyze it, including finding intercepts. 2. **Formula and rules:** To find the x-intercept,

1. The problem is to simplify the expression $0.15 \times 10^{-2}$ and write the answer in scientific notation. 2. Recall that scientific notation expresses numbers as $a \times 10

1. **State the problem:** Simplify the expression $0.15 \times 10^{-2}$ and write the answer in scientific notation. 2. **Recall the scientific notation format:** A number in scien

1. Énonçons le problème : Trouver la valeur de $y$ dans l'équation $\frac{1}{y + 1} = \frac{x}{x + 1}$.\n\n2. Utilisons la propriété d'égalité des fractions : si $\frac{a}{b} = \fr

1. **State the problem:** A man takes 1 hour less than his apprentice to paint a room alone. Together, they take 72 minutes to paint the room. We need to find the time the apprenti

1. The problem is to break down a mathematical expression or concept suitable for a class six student. 2. Since the user did not specify a particular problem, let's explain a simpl

1. The problem is to simplify a radical expression, which means rewriting it in the simplest form without a radical in the denominator or with the smallest possible radicand. 2. Th

1. Masalah: Diketahui penjualan laptop perusahaan A pada tahun 2001, 2002, dan 2003 berturut-turut adalah 9, 27, dan 81 unit. Jika hubungan antara tahun dan penjualan membentuk fun

1. **State the problem:** Simplify and solve the equation $ (x + 1)(x + 4) + 3(x - 2)(x - 1) = 4x(x - 6) $. 2. **Use the distributive property (FOIL) to expand each product:**

1. **Stating the problem:** Solve the given algebraic and coordinate geometry problems involving quadratic and quartic equations, inequalities, and systems of linear equations. 2.

1. Énonçons le problème : Montrer que $$U_{n+1} - U_n = \frac{-2}{n(n+1)(n+2)}$$ où $$U_n = \frac{1}{n(n+1)}$$. 2. Écrivons $$U_{n+1}$$ en remplaçant $$n$$ par $$n+1$$ dans $$U_n$$

1. **State the problem:** Solve the equation $5x - 3 [ x - (2x - 1)] = 3$ for $x$. 2. **Apply the distributive property inside the brackets:** First simplify the expression inside

1. **Résoudre l'équation** $\frac{4}{x-3} + \frac{5}{x+1} = 0$ et l'équation $(3x - 2)(4x + 1) = 2x(6x - 4)$. Pour la première équation, on cherche un dénominateur commun et on rés

1. Énonçons le problème : Montrer que $$U_{n+1} - U_n = \frac{-2}{n(n+1)(n+2)}$$. 2. Pour cela, supposons que la suite $U_n$ est définie par une expression permettant de calculer $

1. **State the problem:** Simplify and solve the equation $8 (x - 2) - 5 (3 - x) + 16 = 15 - 4 (3 - x)$. 2. **Apply the distributive property:** Multiply each term inside the paren

1. **State the problem:** Solve the equation $12x - 3(x - 2) = 3(x + 4)$ for $x$. 2. **Apply the distributive property:** Expand the terms with parentheses.

1. **State the problem:** Solve the equation $ (x + 5)(x + 1) + 2(x - 4)(x + 3) = 3x(x + 8) $.\n\n2. **Expand each product:**\n\n$ (x + 5)(x + 1) = x^2 + x + 5x + 5 = x^2 + 6x + 5

1. **State the problem:** Solve the equation $2x - 7 [ x - (3x + 2)] = 9$ for $x$. 2. **Apply the distributive property inside the brackets:**