🧮 algebra

1. The problem states that we have a line passing through the points $(-2, -8)$ and $(2, 8)$. We need to find the slope of this line and represent the "rise" and "run". 2. The form

1. The problem asks to identify which given functions are polynomial functions. 2. A polynomial function is defined as a function of the form $$p(x) = a_n x^n + a_{n-1} x^{n-1} + \

1. **State the problem:** We are given two equations: $$y = \frac{\sqrt{3x}}{3}$$

1. The first problem asks to simplify the expression $9 - 6x - 42 + 4x - 45$. 2. To simplify, combine like terms. Like terms are terms that have the same variable raised to the sam

1. **State the problem:** Simplify the expression $-8 + 2x + 17 - 9x + 20$ and solve the equations $8x + 23 = 79$, $6x - 23 = 79$, and $8x + 15 = 79$. 2. **Simplify the expression:

1. **State the problem:** Simplify the expression $12pr - 8pr - 19$. 2. **Identify like terms:** The terms $12pr$ and $-8pr$ are like terms because they both contain the variables

1. **State the problem:** Solve the equation $x^2 - 5x + 6 = 0$ for $x$. 2. **Formula and rules:** This is a quadratic equation of the form $ax^2 + bx + c = 0$. We can solve it by

1. Chapter 1 - Quadratic Functions: Solve the quadratic equation $$x^2 - 5x + 6 = 0$$ by factoring. 2. Chapter 2 - Nonlinear Functions: Sketch the graph of the piecewise function $

1. **Énoncé du problème :** On considère les suites $(U_n)$ et $(V_n)$ définies par

1. **Énoncé du problème :** Calculer $V_0$ et $U_1$ pour les suites $(U_n)$ et $(V_n)$ définies par :

1. The problem is to solve an exponential equation, for example, solve for $x$ in the equation $$2^x = 16$$. 2. The formula used here is based on the property of exponents: if $a^x

1. The problem is to solve part 2 a) of a given question, but since the exact problem statement is not provided, please provide the full details of 2 a) for a precise solution. 2.

1. The problem asks: What is a constant? 2. A constant is a value that does not change. In mathematics, it is a fixed number.

1. **State the problem:** Solve for the constant $x$ in the equation $$18 = 3x + 12$$. 2. **Formula and rules:** To isolate $x$, we use basic algebraic operations: subtraction and

1. The user requests a slope graph for "both," but no specific functions or data were provided in the previous message. 2. To create a slope graph, we need explicit functions or da

1. **State the problem:** Find the slope of the line passing through the points (4,1) and (-3,2). 2. **Formula for slope:** The slope $m$ between two points $(x_1,y_1)$ and $(x_2,y

1. The problem involves understanding and analyzing the given equations: - $y = 1 - x$

1. The problem asks to complete the table so it shows a relation that is not a function. 2. A function is a relation where each input $x$ has exactly one output $y$.

1. **State the problem:** We need to find two whole numbers whose squares are closest to 7.9. 2. **Recall the concept:** The square of a whole number $n$ is $n^2$. We want to find

1. **State the problem:** Subtract the fractions $\frac{5}{7}$ and $\frac{2}{7}$. 2. **Formula and rules:** When subtracting fractions with the same denominator, subtract the numer

1. **State the problem:** Add the fractions $\frac{3}{9}$ and $\frac{5}{9}$. 2. **Formula used:** When adding fractions with the same denominator, add the numerators and keep the d