🧮 algebra

1. The user asked to explain how a previous problem was solved. 2. Since no specific problem was mentioned, I will provide a general approach to solving algebraic problems.

1. The problem is to find the value of $y$ when $x=2$ for the linear equation $y=2x+3$. 2. The formula given is $y=2x+3$, where $2$ is the slope and $3$ is the y-intercept.

1. Diketahui fungsi $f(x) = \frac{3x + 1}{2x - 2}$ dengan $x \neq 1$. Fungsi ini digeser 1 satuan ke kiri dan 3 satuan ke atas. 2. Untuk translasi horizontal ke kiri sejauh 1 satua

1. Solve the equation $2x + 3 = 7$. 2. Subtract 3 from both sides: $2x = 7 - 3$

1. The problem is to simplify the square root of 81. 2. The square root function, denoted as $\sqrt{x}$, gives the number which, when multiplied by itself, equals $x$.

1. **State the problem:** Factor the expression $$x^2 - \sqrt{81}$$. 2. **Simplify the square root:** $$\sqrt{81} = 9$$.

1. **State the problem:** Solve for $a$ in the second question. 2. **Recall the second question:** Since the user refers to $a$ in the second question, identify the equation or exp

1. **State the problem:** We want to simplify and solve the expression $$\frac{n \times n + n}{n} = 10$$ for $n$. 2. **Rewrite the numerator:** The numerator is $$n \times n + n =

1. **State the problem:** Explain how $n^2$ appears in the expression $\frac{n \times n + n}{n}$. 2. **Recall multiplication rule:** When you multiply a number by itself, you squar

1. **State the problem:** Simplify the expression $$\frac{n \times n + n}{n} = 10$$ and solve for $n$. 2. **Rewrite the expression:** The numerator is $n \times n + n = n^2 + n$.

1. The problem is to draw simple $x$ and $y$ values for the function $y = x^2$. 2. We choose some values of $x$ and calculate the corresponding $y$ values using $y = x^2$.

1. We want to find the range of the function $y = x^2$. 2. This means we want to know all the possible values $y$ can be when $x$ is any number.

1. Yes, the range $[0, \infty)$ means the minimum value of $y$ is 0 and there is no maximum value. 2. The minimum value 0 occurs at $x=0$ where $y=x^2=0^2=0$.

1. Énoncé du problème : Une personne marche à une vitesse constante de 6 km/h. On note $d$ la distance parcourue en kilomètres et $t$ le temps écoulé en heures. Il faut écrire une

1. Let's start by understanding the problem: you want to find the range of a function, which means the set of all possible output values (y-values) the function can take. 2. The ra

1. The problem is to find the range of the function $y = x^2$. 2. The function $y = x^2$ is a quadratic function where $x$ can be any real number.

1. **State the problem:** You asked how to get the square root of 3 in the previous question. 2. **Clarification:** Actually, in the previous problem about $f(x) = x^2 + 6x + 5$, w

1. The square root of 3, written as $\sqrt{3}$, is the number that when multiplied by itself gives 3. 2. Mathematically, if $x = \sqrt{3}$, then $x^2 = 3$.

1. Let's clarify the problem: You want to find the domain and vertex of a function, typically a quadratic function. 2. The domain of a quadratic function $f(x) = ax^2 + bx + c$ is

1. Let's solve an example problem: Find the roots of the quadratic equation $$x^2 - 5x + 6 = 0$$. 2. The formula to find roots of a quadratic equation $$ax^2 + bx + c = 0$$ is give

1. **State the problem:** Given that $\log_2 x = 0.5$, find the value of $y$ (assuming $y = x$ since $y$ is not defined separately). 2. **Recall the definition of logarithm:**