🧮 algebra

1. **State the problem:** We want to find what percentage 28 customers is out of 40 customers. 2. **Formula used:** The percentage is calculated by the formula

1. Vamos calcular o valor numérico da expressão $$2x^2 - 8x + 8$$ para $$x = 98$$. 2. Substituímos $$x$$ por 98 na expressão:

1. **State the problem:** Solve the system of equations by graphing: $$y=3x-7$$

1. The problem is to solve the system by graphing the equation $y=3x-7$ and determine the number of solutions. 2. Since only one equation is given, the system is incomplete; a syst

1. The problem asks to solve a system of equations by graphing and determine the number of solutions. 2. When solving systems by graphing, each equation is graphed as a line.

1. Problemi: Gjej vlerën e $x$ nga ekuacioni $3x + 5 = 20$. 2. Formula: Përdorim rregullin e zgjidhjes së ekuacioneve lineare, ku qëllimi është të izolosh $x$ në njërën anë të ekua

1. **Stating the problem:** Simplify the expression $$Fy = -10 - 9 \times 10^{-9} \cdot r \cdot \frac{3 \cdot r_0 y}{4 \pi \cdot 10^{-9} \times 10^{-4}} \div (36 \pi)$$. 2. **Rewri

1. The problem asks to use the "Sam formula" as referenced in a previous photo, but since the photo is not provided, I will explain a common algebraic formula often called "Sam's f

1. The problem is to expand and simplify the expression $(x - y)^2$ using the formula $$(a - b)^2 = a^2 - 2ab + b^2$$ 2. Applying the formula, let $a = x$ and $b = y$:

1. **State the problem:** Multiply the binomials $(x + 2)(3x + 3)$ using the area model. 2. **Formula and rules:** To multiply two binomials, use the distributive property (FOIL me

1. The problem is to simplify or understand the expression $R = Z(\sqrt{y^2 + x^2})$. 2. This expression involves the square root of the sum of squares of $x$ and $y$, which is the

1. Planteamos el problema: Determinar el dominio máximo de la función $$f(x) = \frac{\sqrt{x^3 + 4x^2 - 17x - 60}}{2x^3 + 3x^2 - 18x + 8}$$. 2. Para que la función esté definida, e

1. **State the problem:** We need to find the perimeter of a right triangle with sides labeled as $12 - 4x$, $7x + 1$, and $x - 3$. 2. **Recall the perimeter formula:** The perimet

1. **State the problem:** Simplify the expression $$(2x^2 - 7x + 1) - (-5x^2 + x - 9)$$. 2. **Formula and rules:** When subtracting polynomials, distribute the minus sign to each t

1. **State the problem:** Solve the quadratic equation $x^2 - 109 = -8x$ for $x$. 2. **Rewrite the equation:** Move all terms to one side to set the equation equal to zero:

1. **State the problem:** Simplify the expression $$\frac{2^4 - (2^5)^8 - 2^6}{(2^4)^{33} - 16 - (2^7)^3 - 2^{10}}$$. 2. **Apply exponent rules:** Recall that $(a^m)^n = a^{m \time

1. **State the problem:** Solve the quadratic equation $$3x^2 + 228 = 54x$$ for $x$. 2. **Rewrite the equation:** Move all terms to one side to set the equation to zero:

1. **State the problem:** Simplify the expression $$\frac{2^{3}-\left(2^{5}\right)^{8}-2^{6}}{\left(2^{4}\right)^{3}-16-\left(2^{7}\right)^{3}-2^{10}}$$. 2. **Recall exponent rules

1. The problem is to simplify the expression $$\frac{2^4 - (2^5)^8 - 2^6}{dx}$$. 2. First, note that the expression is written as a fraction with denominator $dx$, which suggests d

1. **State the problem:** Solve the quadratic equation $$m^2 + 2m - 3 = 0$$ using the quadratic formula. 2. **Recall the quadratic formula:** For an equation $$ax^2 + bx + c = 0$$,

1. **Problem 10:** Simplify \( \frac{a^3b^3}{xy^4} \div \frac{a^2b}{x^2y} \). 2. Division of fractions means multiplying by the reciprocal: