🧮 algebra

1. The problem presents the sequence: 1, 6, 13, 22, 33, ? and asks to find the next number. 2. Observe the differences between consecutive terms:

1. The term "Matrixe" seems to refer to matrices, which are rectangular arrays of numbers arranged in rows and columns. 2. A matrix is typically written as $$\begin{bmatrix} a_{11}

1. The problem asks to rewrite the quadratic function $f(x) = -2x^2 + 6x - 1$ in the vertex form $a(x+h)^2 + k$, where $a$, $h$, and $k$ are constants. 2. Start with the given func

1. Problem: Simplify the following expressions: a) $3 \frac{1}{2} + 4 \frac{1}{3} + 5 \frac{1}{4}$

1. The problem requires us to first equate $f(x)$ and $g(x)$, then solve the equation $f(x) + g(x) = 0$ for problem #2. 2. Step 1: Equate $f(x) = g(x)$.

1. The problem states we have a quadratic function $f(x) = 3x^2 + 4x - 5$ and a straight line passing through the point $(1,-1)$ with gradient $m$. The line is described by the equ

1. The problem is to find the principal solution(s) when given that \( \text{CONCETO} = -6 \).\n\n2. The term "principal solution" typically refers to the main or primary solution

1. Stating the problem: Solve the equation $$\cos(x) - x \sin(x) = 0$$ for $x$. 2. Rearrange the equation:

1. Stating the problem: We need to find the slope of each line given by the equations (a) through (p). 2. Recall: The slope-intercept form of a line is $y = mx + b$ where $m$ is th

1. El problema es resolver un sistema con dos incógnitas aplicando el método de reducción. 2. Sea el sistema:

1. The user's request is to graph the answer related to a slope, but no specific equation or problem is given. 2. Without a defined function or slope value, it is not possible to g

1. Stating the problem: Find the roots of the quadratic equations given. ---

1. **Find the slope of each line given the equation.** 2. The slope of a line in the form $y = mx + b$ is the coefficient $m$ of $x$.

1) Tentukan akar-akar persamaan kuadrat berikut: a) $x^2 - 2x + 35 = 0$

1. The left side and right side in an expression usually refer to the two sides of an equation separated by an equals sign $=$. 2. To do left side right side checks, you compare th

1. The problem is to graph the line defined by the equation $y=5$ and to confirm that its slope is $m=0$. 2. The equation $y=5$ means the $y$-value is constantly 5 for all values o

1. The problem is to analyze the function $f(x) = 9 - x^2$ and understand its graph properties. 2. This is a quadratic function in the form $f(x) = a x^2 + b x + c$ where $a = -1$,

1. **Stating the problem**: We have a quadratic function $f(x) = ax^2 + bx + c$, with a parabola opening downward and vertex near $(-1, \text{max value})$, crossing the y-axis at $

1. Stating the problem: We need to divide the polynomial $$10x^2 + 53x - 42$$ by the binomial $$x + 6$$. 2. Use polynomial long division or synthetic division.

1. **Matrix M given:** $$M = \begin{bmatrix}-6 & 5 \\ -12 & 10 \end{bmatrix}$$

1. The problem asks: In dividing polynomials, which term should you solve first? 2. When dividing polynomials, the key step is to look at the first (leading) term of the dividend a