🧮 algebra

1. The problem asks us to write the values 21%, 6/25, 0.15, and 32/200 in ascending order. 2. To compare these values, we convert them all to decimals.

1. **State the problem:** We are given that 135% of a value equals 4185 kg, and we need to find the original value. 2. **Formula and explanation:** To find the original value when

1. **State the problem:** Solve the linear equation $2x + 6 = 12$ for $x$. 2. **Formula and rules:** To solve for $x$, isolate the variable by performing inverse operations. Subtra

1. **Problem statement:** Given the function $f(x) = \frac{x^2 - 8}{x^2 - 4}$, find the maximal domain $D$, zeros, symmetry, behavior at domain boundaries, and asymptotes. 2. **Dom

1. El problema es analizar y resolver la función $y = x^2 - 1$. 2. Esta es una función polinómica de segundo grado, también llamada función cuadrática.

1. **State the problem:** Simplify the expression $2i - 14i$. 2. **Recall the rule:** When subtracting like terms, subtract their coefficients and keep the variable the same.

1. **State the problem:** Solve the simultaneous equations: $$5x + 3y = 0$$

1. **State the problem:** Divide the expression \(\frac{q^2 + 2q}{q + 2}\) by \(q\) and write the answer in simplest form. 2. **Rewrite the division as multiplication by the recipr

1. **State the problem:** Divide the expression $$\frac{25x + 20}{5} \div (5x + 4)$$ and write the answer in simplest form. 2. **Recall the division rule for fractions:** Dividing

1. **State the problem:** We need to find the central angle measure $x^\circ$ for the Bowerman slice in a circle graph representing votes. 2. **Formula:** The central angle for a s

1. **State the problem:** Solve the equation $$\sqrt{x} + 6 = 12$$ for $x$. 2. **Formula and rules:** To solve equations involving square roots, isolate the square root term and th

1. **State the problem:** Find the center of the circle given by the equation $$x^2 + y^2 - 8x + 11y - 2 = 0$$. 2. **Formula and rules:** The general form of a circle's equation is

1. Planteamos el problema: Resolver la inecuación $$-12x - 10 \leq 5$$. 2. Sumamos 10 a ambos lados para aislar el término con $x$:

1. The problem is to determine which of the two given answers satisfies the equation. 2. To check if a value satisfies an equation, substitute the value into the equation and simpl

1. **State the problem:** Solve the equation $$\arctan(3x) + \arctan(2x) = \frac{\pi}{4}$$ for $x$. 2. **Formula used:** The sum of arctangents formula is

1. **State the problem:** We are given the linear equation $$-3x + y = 2$$ and a table of values for $x$: -1, 0, 1. We need to find the corresponding $y$ values and understand the

1. **State the problem:** Solve the equation $$249 \cdot 3^{x+2} = \frac{1}{9}$$ for $x$. 2. **Recall the properties of exponents:**

1. **State the problem:** Simplify the expression $$\frac{w^2 - 10w + 21}{18 - 2w^2}$$. 2. **Factor numerator and denominator:**

1. **State the problem:** Simplify the rational expression $$\frac{2u^2 - 8}{u^2 - u - 6}$$. 2. **Factor numerator and denominator:**

1. **State the problem:** Solve for $n$ in the equation $6.3 = 9n$. 2. **Formula and rules:** To isolate $n$, divide both sides of the equation by 9.

1. **State the problem:** Solve the equation $3m = 39$ for $m$. 2. **Formula and rules:** To solve for $m$, we need to isolate $m$ on one side of the equation. Since $m$ is multipl