🧮 algebra

1. The problem is to simplify the fraction $-6/4$. 2. First, find the greatest common divisor (GCD) of 6 and 4, which is 2.

1. The formula used to calculate the roots of a quadratic equation $ax^2 + bx + c = 0$ is called the Quadratic Formula. 2. The formula is:

1. Masalah yang diberikan adalah menentukan nilai pintasan-y bagi garis lurus JK dengan kecerunan (gradien) $\frac{-3}{-5}$ dan titik pada garis $(10,0)$. 2. Kecerunan $m$ diberika

1. The problem is to simplify the number $-\frac{3}{4}$. 2. Since $-\frac{3}{4}$ is already in its simplest fractional form (a negative fraction where numerator is 3 and denominato

1. **State the problem:** Simplify the expression $-8/4$. 2. **Perform the division:** Divide 8 by 4.

1. Determina su mínima expresión para $$\frac{x+1}{x^2-4} \cdot \frac{x^3 + 5x + 6}{4x + 12} \div \frac{x+1}{4x - 8}$$

1. **Problem 1**: Given a polynomial $P(x) = 3x^3 + ax^2 + bx - 9$, it leaves a remainder of $-7$ when divided by $x+1$ and a remainder of $23$ when divided by $x-2$. We need to fi

1. The problem asks to evaluate the expressions when $y = e$ and $x = e$. 2. Since both $y$ and $x$ are equal to the constant $e$, which is approximately 2.718,

1. Factor the expression $7 - 3x^2 - 8z^3$. This is a simple polynomial expression with three terms; it cannot be factored easily as a product. So, it remains as is. 2. Factor $p^3

1. **Problem 1:** Given polynomial $$P(x) = 3x^3 + ax^2 + bx - 4$$ leaves remainder -7 when divided by $$x + 1$$ and remainder 23 when divided by $$x - 2$$. By the Remainder Theore

1. Masalah: Cari persamaan garis lurus yang melalui titik E (-3,8) dan F (5,-2). 2. Mula-mula kita cari kecerunan (gradien) $m$ garis lurus menggunakan formula:

1. Planteamos el problema: utilizar el método de Ruffini para dividir el polinomio $$f(x)=x^4-8x^2+16$$ por un binomio de la forma $$x-r$$, donde $$r$$ es una raíz del polinomio qu

1. The problem is to simplify the expression $-7 \pm \sqrt{\frac{1}{4}}$. 2. Start by simplifying the square root: $\sqrt{\frac{1}{4}} = \frac{\sqrt{1}}{\sqrt{4}} = \frac{1}{2}$.

1. Diberi dua titik $(5,8)$ dan $(3,q)$ serta garisan dengan persamaan $4y - 2x = 15$. 2. Tukar persamaan garisan kepada bentuk kecerunan-intersep: $4y = 2x + 15 \Rightarrow y = \f

1. The term "surd" refers to irrational numbers expressed in root form, such as square roots that cannot be simplified to rational numbers. 2. For example, $\sqrt{2}$ is a surd bec

1. El problema no está explícito, así que proporcionaré un ejemplo simple para resolver una ecuación lineal: Resolver la ecuación $$2x + 3 = 11$$. 2. Restamos 3 de ambos lados para

1. Enunciado: Ubicar y representar en la recta numérica los números \(\frac{3}{4}, \frac{9}{7}, \frac{\sqrt{6}}{13}, \frac{\sqrt{7}}{\sqrt{13}}\).\n\n2. Para comparar y ubicar núme

1. The problem is to add the fractions $\frac{7}{8}$ and $\frac{1}{3}$.\n2. To add fractions, first find a common denominator. The denominators are 8 and 3. The least common multip

1. **State the problem:** Find the x- and y-intercepts of the function $$f(x)=x^3-2x^2-24x$$. 2. **Find y-intercept:** The y-intercept occurs when $$x=0$$. Evaluate:

1. **Problem Statement:** Simplify the expression $$(3x^2)^3$$. 2. **Step 1: Apply the power to both the coefficient and the variable inside the parentheses.**

1. Let's start by stating the problem: We need to find the total distance Jen drives from Monday to Wednesday. 2. Suppose Jen drives $d_\text{Monday}$ miles on Monday, $d_\text{Tue