🧮 algebra

1. The problem is to evaluate $3^0$. 2. The rule for any nonzero number raised to the power of zero is that it equals 1.

1. **State the problem:** Solve the inequality $$2x + 4 \leq -6$$ for $$x$$. 2. **Isolate the variable term:** Subtract 4 from both sides to get $$2x \leq -6 - 4$$.

1. **Énoncé du problème :** Résoudre les inéquations impliquant des logarithmes naturels (ln). 2. **Rappel important :** La fonction $\ln(x)$ est définie seulement pour $x > 0$. Do

1. The problem is to solve the equation or expression you provided (please resend the exact math question for specific help). 2. To solve algebraic problems, we typically use formu

1. **Problem statement:** We have a fire hose spraying water modeled by the quadratic function $$f(x) = -0.16x^2 + 2x$$ where $x$ is the horizontal distance in metres and $f(x)$ is

1. **Compute the slope between two points**: The slope formula is given by $$m = \frac{y_2 - y_1}{x_2 - x_1}$$ where $(x_1,y_1)$ and $(x_2,y_2)$ are the coordinates of the two poin

1. **State the problem:** Solve the quadratic equation $$5x^2 + 3 = 3x^2 - 5x + 6$$ using the quadratic formula. 2. **Rewrite the equation:** Move all terms to one side to set the

1. **State the problem:** Solve the quadratic equation $$2x(x + 4) = -3x^2 - 2x + 40$$ for $x$. 2. **Rewrite the equation:** Expand the left side:

1. The problem asks to find the square root of 256, denoted as $\sqrt{256}$. 2. The square root of a number $x$ is a value $y$ such that $y^2 = x$.

1. The problem is to evaluate the expression $20 \checkmark$. 2. The symbol \checkmark is not a standard mathematical operator. It might be a typo or a symbol used in a specific co

1. **Énoncé du problème :** Résoudre les inéquations suivantes : a) $e^{1 - 4x} \leq 9$

1. Problemstellung: Wir sollen die Binomialformel erkennen und anwenden. 2. Binomialformeln:

1. Problem statement: Simplify the expressions (x + 10)^2 and (3 + z)^2 using the binomial formula. 2. Identify a and b:

1. The problem is to simplify an expression, but the exact expression is not provided. 2. To simplify an algebraic expression, we combine like terms, apply distributive property, a

1. Simplify $\frac{2}{9}$: The numerator and denominator have no common factors other than 1, so $\frac{2}{9}$ is already in simplest form. 2. Simplify $\frac{4}{60}$: Given as $\f

1. Énoncé du problème : Résoudre les équations suivantes pour $x$ : a) $e^{5x} = \frac{3}{2}$

1. Diketahui perbandingan senilai: $$8 : 10 = (y + 15) : 25$$ 2. Gunakan sifat perbandingan senilai, yaitu hasil kali silang sama:

1. **Stating the problem:** You want to solve a system of equations graphically by using substitution. 2. **Formula and rules:** Substitution involves solving one equation for one

1. The problem is to solve the quadratic equation $x^2 - 5x + 6 = 0$. 2. The formula used is the quadratic formula: $$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$$ where $a$, $b$, and $

1. **Problem Statement:** Given the relation with pairs \((-2, -7), (-1, 0), (3, 0), (5, 4)\), find the domain (D), range (R), and determine if it is a function. 2. **Definitions:*

1. The problem asks to determine if values are to the left, right, middle, or out for two questions labeled a and b. 2. To solve this, we need the specific values or intervals for