🧮 algebra

1. We are asked to simplify or resolve the expression $x + \frac{3}{(x - 2)^2}$. 2. The expression consists of two terms: $x$, which is a linear term, and $\frac{3}{(x - 2)^2}$, wh

1. Let's clarify what a graph is in math: It is a visual representation of a function or equation showing how variables relate. 2. If you provide your specific equation or function

1. The problem is to analyze and describe the graph of the function given by $$y = (x - 8)^2 - 6$$. 2. This is a quadratic function in vertex form: $$y = (x - h)^2 + k$$ where \(h

1. נתונה הפונקציה: $f(x)=(x+1)\cdot e^x$. 2. נמצא את תחום ההגדרה של הפונקציה:

1. Énoncé du problème : Il s'agit de factoriser les expressions suivantes : M = (4 + x)^2 - (2x + 8)(x - 2)

1. The problem states that we have a number line from 0 to 1 divided into 10 equal intervals. 2. Each interval represents a fraction of $\frac{1}{10}$.

1. The problem is to find the equation of the line passing through the points $(-3, -1)$ and $(4, -1)$. 2. First, calculate the slope $m$ using the formula

1. The problem asks which fraction corresponds to position A on a number line between 0 and 1. 2. The options given are $\frac{1}{5}$, $\frac{2}{5}$, $\frac{4}{20}$, and $\frac{2}{

1. The problem is to explain the algebraic steps that transform the first equation into the second equation as shown in the photo. 2. Begin by carefully identifying the first equat

1. Let's clarify the question: you want to understand how to get from the first step of a problem to the second step. 2. To help properly, I need to see the specific expressions or

1. We are asked to solve the quadratic equation $$x^2 + 3xi + 10 = 0$$ where $x$ is a complex number. 2. Recognize that this equation has complex coefficients because of the term $

1. The problem is to solve the quadratic equation $x^2 + 5x - 6 = 0$ for $x$ in complex numbers. 2. We use the quadratic formula:

1. **State the problem:** Find the slope-intercept form of the line passing through the points $(1,2)$ and $(-1,-4)$. 2. **Calculate the slope $m$:**

1. **State the problem:** Solve the quadratic equation $$x^2 + 5x - 6 = 0$$. 2. **Factor the quadratic:** Look for two numbers that multiply to $$-6$$ and add to $$5$$. Those numbe

1. Let's analyze the hiker altitude problem first. The table shows hours hiked ($x$) vs altitude ($y$).

1. The problem is to solve the quadratic equation $x^2 + 4 = 0$.\n\n2. Start by isolating $x^2$ on one side: subtract 4 from both sides to get $$x^2 = -4.$$\n\n3. To solve for $x$,

1. The problem is to factor the quadratic expression $$x^2 + 5x + 6$$. 2. To factor a quadratic expression of the form $$x^2 + bx + c$$, find two numbers that multiply to $$c=6$$ a

1. We are given the equation $$0 = 6 - 9x + 52x^2 - 52x^4 + 4$$. 2. First, combine the constant terms: $$6 + 4 = 10$$, so rewrite as $$0 = 10 - 9x + 52x^2 - 52x^4$$.

1. The problem is to simplify or evaluate $\log_p \sqrt{x}$. 2. Recall that the square root of $x$ can be written as an exponent: $\sqrt{x} = x^{\frac{1}{2}}$.

1. The problem states that we have two logarithmic expressions with the same base $p$: $$\log_p(x) = 9$$ and $$\log_p(y) = 6$$. 2. Recall that $$\log_p(a) = b$$ means that $$p^b =

1. The problem asks to confirm or analyze the function expression where the results correspond to the function $4x$. 2. The function given is $f(x) = 4x$. This means for any input