🧮 algebra

1. **Problem Statement:** Describe the transformations J and K on parallelogram EFGH and find images of points P and Q under these transformations. 2. **Transformation J:** Given m

1. The problem is to factor the trinomial $2x^2 + 13x + 6$. 2. We use the factoring method for trinomials of the form $ax^2 + bx + c$.

1. **State the problem:** Factor the expression $9x^2 - 16$. 2. **Formula used:** This is a difference of squares, which follows the rule:

1. The problem is to factor the expression $9x^2 - 16$. 2. Recognize that this is a difference of squares, which follows the formula:

1. **State the problem:** We need to find which binomial is a factor of the quadratic expression $$2x^2 + x - 1$$. 2. **Recall the factoring method:** To factor a quadratic $$ax^2

1. **State the problem:** Simplify the expression $$\frac{2x \cdot x^2}{(x - y)^2}$$. 2. **Write the formula and rules:** When multiplying powers with the same base, add the expone

1. **Stel het probleem vast:** We hebben de uitdrukking $$(ma+1 - 2ma+2 - ma+3 + ma+4)(ma-3 - ma-1 + ma-2)$$

1. **Problem:** Solve the quadratic equation $-3x^2 - 27 = 0$. 2. **Step 1:** Add 27 to both sides:

1. **Problem Statement:** We are given four relations and need to determine which one represents a function. 2. **Definition of a Function:** A relation is a function if every inpu

1. The problem asks to classify each expression as either a percentage increase of 15% or a percentage decrease of 15% for an item costing $p$ dollars. 2. A percentage increase of

1. **State the problem:** We have a data set: 3, 9, 1, 1, 1, 6, 10, and an unknown value $x$. The mean of all these numbers is given as 4.5. 2. **Formula for mean:** The mean of a

1. El problema nos pide calcular el valor numérico de la expresión algebraica $$2x^2 - 5x - 9$$ cuando $$x = 3$$. 2. La fórmula que usaremos es simplemente sustituir el valor de $$

1. Planteamos el problema: Resolver la ecuación $$2x - 5 = 11$$ para encontrar el valor de $$x$$. 2. Usamos la fórmula para resolver ecuaciones lineales: $$ax + b = c \implies x =

1. The problem is to find the value of $k$ given an equation or condition involving $k$. 2. To find $k$, we need the specific equation or expression where $k$ appears.

1. **State the problem:** We have a triangle ABC with vertices A(-2,1), B(6,5), and C(4,k). Angle ABC is the right angle. We need to find the equation of the line passing through p

1. **State the problem:** We are given the polynomial $$U(x) = 6x^4 + 35x^3 + 47x^2 - 15x - 9$$ and asked two questions: a) Identify the list of all possible rational roots of $$U(

1. Vamos resolver a equação $4 (2x - 1)(3 - 6x) = 0$. 2. Para que o produto seja zero, pelo menos um dos fatores deve ser zero. Assim, temos duas equações:

1. **State the problem:** Simplify the expression $$6) \frac{7}{4x^3} \cdot \frac{10x}{2x}$$. 2. **Write the expression clearly:** $$\frac{7}{4x^3} \times \frac{10x}{2x}$$.

1. **State the problem:** Simplify the expression $$\frac{n - 4}{7n^2 - 28n} + \frac{3n}{n - 2}$$ and identify which of the given options it equals. 2. **Factor the denominators:**

1. **State the problem:** Calculate the value of $$4^2 + (5 - 2)^2$$. 2. **Recall the formula and rules:** The expression involves squaring numbers and addition. Squaring a number

1. **State the problem:** Calculate the value of the expression $$4^2 - (13 - 4)$$. 2. **Recall the order of operations:** We first evaluate exponents, then parentheses, and finall